{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Planetary Heating and Atmospheres\n",
"\n",
"## Solar Heating and Energy Transport\n",
"**Temperature** is a fundamental property of matter, where it is especially important for determining the potential for life to flourish on the surface of a planet. For example, water $(\\rm H_2O)$ is a liquid between $273-372\\ {\\rm K}$ at stand pressure ($1\\ {\\rm bar}$), a gas at higher temperatures, and a solid (i.e., ice) when it is at lower temperatures. All three phases of water occur naturally on Earth, but the liquid phase is not seen on the surface of any other planet in our Solar System. \n",
"\n",
"Rocks undergo similar transitions at substantially higher temperatures. Liquid rock is present in the Earth's mantle (as magma), which can be seen on the Earth's surface during a volcanic eruption (e.g., lava flows). Some other substances are only in vapor form on Earth's surface. For example, carbon dioxide $(\\rm CO_2)$ exists in gas form, and when cooled to $194.7\\ {\\rm K}$, it freezes into a substance known as *dry ice*. No liquid phase of $\\rm CO_2$ exists on Earth's surface because liquid $\\rm CO_2$ is only stable at pressures $> 5.1\\ {\\rm bar}$. All three phases of methane $(\\rm CH_4)$ exist at standard pressure, but methane condenses and freezes at lower temperatures.\n",
"\n",
"Most substances expand when heated, where gases increase in volume the most. The equilibrium molecular composition of a given mixture of atoms often depends on temperature (and pressure), and the time required for a mixture to reach chemical equilibrium generally increases rapidly as the temperature drops. Gradients in temperature and pressure are responsible for large mass flows (e.g., atmospheric winds and ocean currents) as well as convective motions that can mix fluid material within planetary atmospheres and interiors. Earth's solid crust is dragged along by convective currents in the mantle, which leads to continental drift.\n",
"\n",
"A measure of the random kinetic energy of matter (i.e., molecules, atoms, ions, etc.) is represented by a temperature $T$. The energy of a *perfect* gas is given by \n",
"\n",
"\\begin{align}\n",
"E = \\frac{3}{2}NkT,\n",
"\\end{align}\n",
"\n",
"which depends on the number of particles $N$ and Boltzmann's constant $k$. The temperature of a body is determined by a combination of processes. Solar radiation is the primary energy source for most planetary bodies, where radiation to space is the primary loss mechanism. The equilibrium state of a planetary surface is determined by a balance of energy gained and lost, where the details of energy transport determine the relative amounts.\n",
"\n",
"A point on the surface of a planet is only illuminated by the Sun during the day (i.e., when the surface faces the Sun), but it radiates during both day and night. The amount of energy incident per unit area depends on the distance from the Sun and the local elevation angle of the Sun (i.e., how direct the sunlight is). As a consequence, most locales are coldest around sunrise and hottest a little after local noon. The polar region are (on average) colder than the equator as long as the axial tilt (or obliquity) is less than $54^\\circ$ for prograde rotators and greater than $126^\\circ$ for retrograde rotators.\n",
"\n",
"Over the long term, most planetary bodies radiate almost the same amount of energy to space as they absorb from sunlight. The giant planets (Jupiter, Saturn, and Neptune) are exceptions to this rule, where these bodies radiate significantly more energy than they absorb because they are still losing heat produced during the time of their formation. Spatial and temporal fluctuations can be large, while long-term global equilibrium is the norm. Energy stored from day-to-night, perihelion-to-aphelion, and summer-to-winter can be transported from one location to another on a planet's surface.\n",
"\n",
"```{figure-md} EM-spectrum-fig\n",
" \n",
"\n",
"The electromagnetic spectrum. Image credit: Wikimedia Commons by user [Horst Frank](https://commons.wikimedia.org/wiki/File:Electromagnetic_spectrum_-eng.svg).\n",
"```\n",
"\n",
"### Thermal (Blackbody) Radiation\n",
"Electromagnetic (EM) radiation consists of photons at many wavelengths, where a spectrum is shown in Fig. {numref}`{number}`. The frequency $\\nu$ of an EM wave propagating in a vacuum is related to its wavelength $\\lambda$ by\n",
"\n",
"\\begin{align}\n",
"\\lambda \\nu = c,\n",
"\\end{align}\n",
"\n",
"where the speed of light $c$ in a vacuum is $299,792,458\\ {\\rm m/s}$.\n",
"\n",
"Most objects emit a continuous spectrum of EM radiation, where this **thermal emission** is well approximated by the theory of *blackbody* radiation. A [blackbody](https://en.wikipedia.org/wiki/Black_body) is an object that absorbs all radiation that falls onto it at all frequencies and angles of incidence (i.e., no radiation is reflected or scattered). A body's capacity to emit radiation is the same as its capability of absorbing radiation at the same frequency. The radiation emitted by a blackbody is described by [Planck's radiation law](https://en.wikipedia.org/wiki/Planck%27s_law):\n",
"\n",
"```{math}\n",
":label: Plancks_law\n",
"B_\\nu(T) = \\frac{2h\\nu^3}{c^2}\\frac{1}{e^{h\\nu/(kT)}-1},\n",
"```\n",
"\n",
"which describes the **brightness** $B_\\nu(T)$ in units of $\\rm W/m^2/Hz/sr$ and depends on Planck's constant $h$. Figure {numref}`{number}` shows the brightness as a function of frequency (Fig. {numref}`{number}`a) with effective temperatures from $40-30,000\\ {\\rm K}$, and a spectrum of our Sun (Fig. {numref}`{number}`b) as a function of wavelength. The blackbody curves for $6000\\ {\\rm K}$ (Fig. {numref}`{number}`a) and $5800\\ {\\rm K}$ (Fig. {numref}`{number}`b) are representative of the solar spectrum (Eqn. {eq}`Plancks_law`) within the respective regime (frequency or wavelength). These two figures show that the Sun's brightness peaks (i.e., highest intensity) at optical wavelengths, while planets will peak at infrared wavelengths due to their surface temperatures $(\\sim 40-700\\ {\\rm K})$.\n",
"\n",
"```{glue:figure} blackbody_fig\n",
":figwidth: 600px\n",
":name: \"blackbody\"\n",
"\n",
"(a) Blackbody radiation curves $B_\\nu(T)$ at various temperatures. (b) Solar spectrum as a function of wavelength between $100-2500\\ {\\rm nm}$. A blackbody spectrum at 5777 K is superposed.\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"data": {
"application/papermill.record/image/png": "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\n",
"application/papermill.record/text/plain": ""
},
"metadata": {
"scrapbook": {
"mime_prefix": "application/papermill.record/",
"name": "blackbody_fig"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from myst_nb import glue\n",
"from matplotlib import rcParams\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.ticker as ticker\n",
"from scipy.constants import h, c, k\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"\n",
"rcParams.update({'font.size': 12})\n",
"rcParams.update({'mathtext.fontset': 'cm'})\n",
"\n",
"\n",
"def Blackbody(lam, T, wave=False):\n",
" # Calculate brightness from Planck's radiation law\n",
" #nu = frequency in Hz\n",
" # T = effective temperature in K\n",
" if wave:\n",
" B = (2*h*c**2/lam**5)/(np.exp(h*c/(lam*k*T))-1)\n",
" else:\n",
" nu = c/lam\n",
" B = (2*h*nu**3/c**2)/(np.exp(h*nu/(k*T))-1)\n",
" return B\n",
"\n",
"\n",
"# Data taken from American Society for Testing and Materials (ASTM) developed an air mass zero reference spectrum (ASTM E-490) for use by the aerospace community.\n",
"# https://www.nrel.gov/grid/solar-resource/spectra-astm-e490.html\n",
"solar_irr = np.genfromtxt(\"solar_spectrum.csv\", delimiter=',', comments='#')\n",
"solar_irr[:, 0] *= 1000\n",
"cut_window = np.where(np.logical_and(\n",
" solar_irr[:, 0] > 150, solar_irr[:, 0] < 2500))[0]\n",
"solar_irr[:, 1] /= 1000\n",
"solar_irr = solar_irr[cut_window]\n",
"T_sun = 5800\n",
"Omg = 6.794e-5 # average solid angle of the Sun in sr\n",
"\n",
"fs = 'x-large'\n",
"\n",
"fig = plt.figure(figsize=(9, 9), dpi=150)\n",
"ax1 = fig.add_subplot(211)\n",
"ax2 = fig.add_subplot(212)\n",
"\n",
"T_rng = [40, 250, 1000, 6000, 30000]\n",
"lam_rng = c/np.logspace(8.5, 17, 1001)\n",
"col = ['k', 'darkred', 'r', 'orange', 'blue']\n",
"for i in range(0, 5):\n",
" B_nu = Blackbody(lam_rng, T_rng[i], False)\n",
" ax1.loglog(c/lam_rng, B_nu, 'k-',\n",
" color=col[i], lw=1.5, label='%i K' % T_rng[i])\n",
"\n",
"ax1.text(0.01, 0.9, 'a', fontsize=fs, transform=ax1.transAxes)\n",
"ax1.set_ylim(1e-18, 1e-4)\n",
"ax1.set_xlim(1e8, 1.5e17)\n",
"ax1.legend(bbox_to_anchor=(0.55, 0.75), bbox_transform=fig.transFigure,\n",
" ncol=2, fontsize='large', frameon=False)\n",
"xticks = []\n",
"yticks = [1e-18, 1e-17, 1e-16, 1e-15, ]\n",
"for i in range(0, 10):\n",
" ymag = 10**(-14+i)\n",
" xmag = 10**(8+i)\n",
" xticks.append(xmag)\n",
" xticks.append(3*xmag)\n",
" yticks.append(ymag)\n",
"ax1.set_xticks(xticks)\n",
"ax1.set_yticks(yticks)\n",
"\n",
"ax1.set_xlabel(\"Frequency (Hz)\", fontsize=fs)\n",
"ax1.set_ylabel(\"Brightness ($\\\\rm W/m^2/Hz/sr$)\", fontsize=fs)\n",
"\n",
"ax1.minorticks_on()\n",
"ax1.tick_params(which='major', axis='both',\n",
" direction='out', length=6.0, width=3.0)\n",
"ax1.tick_params(which='minor', axis='both',\n",
" direction='out', length=3.0, width=1.0)\n",
"\n",
"ax2.plot(solar_irr[:, 0], solar_irr[:, 1],\n",
" 'k-', lw=1.5, label='Solar spectrum')\n",
"# convert from m-->nm and multiply by solid angle of the solar disk\n",
"B_lam = Blackbody(solar_irr[:, 0]*1e-9, T_sun, True)*1e-9*Omg\n",
"ax2.plot(solar_irr[:, 0], B_lam, 'r--', lw=1.5, label='Blackbody %i K' % T_sun)\n",
"\n",
"ax2.legend(loc='upper right', fontsize=fs, frameon=False)\n",
"\n",
"ax2.text(0.01, 0.9, 'b', fontsize=fs, transform=ax2.transAxes)\n",
"ax2.set_xlim(100, 2500)\n",
"ax2.set_ylim(0, 2.15)\n",
"ax2.set_ylabel(\"Flux density ($\\\\rm W/m^2/nm$)\", fontsize=fs)\n",
"ax2.set_xlabel(\"Wavelength (nm)\", fontsize=fs)\n",
"\n",
"ax2.minorticks_on()\n",
"ax2.tick_params(which='major', axis='both',\n",
" direction='out', length=6.0, width=3.0)\n",
"ax2.tick_params(which='minor', axis='both',\n",
" direction='out', length=3.0, width=2.0)\n",
"\n",
"fig.subplots_adjust(hspace=0.3)\n",
"\n",
"glue(\"blackbody_fig\", fig, display=False)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Two limits of Planck's radiation law can be derived:\n",
"\n",
"1. **Rayleigh-Jeans law**: When $$h\\nu \\ll kT$ (i.e., at longer wavelengths or shorter frequencies that are typical of planetary bodies), then $e^{h\\nu/(kT)}-1 \\approx h\\nu/(kT). Equation {eq}`Plancks_law` can be approximated by \n",
"\n",
" ```{math}\n",
" :label: RJ_law\n",
" B_\\nu(T) \\approx \\frac{2\\nu^2}{c^2}kT.\n",
" ```\n",
"\n",
"2. **Wien's law**: When $h\\nu \\gg kT$, Eqn. {eq}`Plancks_law` can be approximated by \n",
"\n",
" ```{math}\n",
" :label: Wiens_law\n",
" B_\\nu(T) \\approx \\frac{2h\\nu^3}{c^2} e^{-h\\nu/(kT)}.\n",
" ```\n",
"\n",
"Equations {eq}`RJ_law` and {eq}`Wiens_law` are simpler than Eqn. {eq}`Plancks_law`, and thus can be quite useful in the regimes in which they are applicable. This also explains why Eqns. {eq}`RJ_law` and {eq}`Wiens_law` were developed first.\n",
"\n",
"The peak frequency $\\nu_{\\rm max}$ is the frequency at which the maximum brightness $B_\\nu(T)$ occurs, where $\\nu_{\\rm max}$ can be determined by setting the derivative of Eqn. {eq}`Plancks_law` equal to zero (i.e., $\\partial B_\\nu/\\partial \\nu = 0$). The result is known as [Wien's displacement law](https://en.wikipedia.org/wiki/Wien%27s_displacement_law): \n",
"\n",
"\\begin{align}\n",
"\\nu_{\\rm max} = bT,\n",
"\\end{align}\n",
"\n",
"which depends on the proportionality constant $b_\\nu = 5.88 \\times 10^{10}\\ {\\rm Hz/K}$. The brightness $B_\\lambda$ as a function of wavelength $\\lambda$ is proportional to $B_\\nu$ by a factor $|d\\nu/d\\lambda|$, or \n",
"\n",
"\\begin{align}\n",
"B_\\lambda = B_\\nu\\left|\\frac{d\\nu}{d\\lambda}\\right|,\n",
"\\end{align}\n",
"\n",
"where the blackbody spectral peak in wavelength $\\lambda_{\\rm max}$ can be found by setting $\\partial B_\\lambda/\\partial \\lambda = 0$ to get\n",
"\n",
"```{math}\n",
":label: Wien_law_constant\n",
"\\lambda_{\\rm max} = \\frac{b_\\lambda}{T},\n",
"```\n",
"\n",
"with $b_\\lambda = 2.9 \\times 10^{-3}\\ {\\rm m\\cdot K}$.\n",
"\n",
"```{note}\n",
"The blackbody spectral peak in wavelength is blueward of the brightness peak measured in terms of frequency, $\\lambda_{\\rm max} = 0.57\\ c/\\nu_{\\rm max}$.\n",
"```\n",
"\n",
"The **flux density** $\\mathcal{F}_\\nu$ (in units of $\\rm W/m^2/Hz$) of radiation from an object is given by\n",
"\n",
"\\begin{align}\n",
"\\mathcal{F}_\\nu = \\Omega_s B_\\nu(T),\n",
"\\end{align}\n",
"\n",
"which requires the solid angle (in $\\rm sr$) subtended by the object. Just above the complete 'surface' of a planet of brightness $B_\\nu$, the flux density is equal to\n",
"\n",
"\\begin{align}\n",
"\\mathcal{F}_\\nu = \\pi B_\\nu(T).\n",
"\\end{align}\n",
"\n",
"The **flux** $\\mathcal{F}$ has units of $\\rm W/m^2$, which is the flux density integrated over *all* frequencies:\n",
"\n",
"```{math}\n",
":label: SB_law\n",
"\\mathcal{F} = \\int_0^\\infty \\mathcal{F}_\\nu d\\nu = \\pi \\int_0^\\infty B_\\nu(T) d\\nu = \\sigma T^4,\n",
"```\n",
"\n",
"which is the **Stefan-Boltzmann law** that depends on the [Stefan-Boltzmann constant](https://en.wikipedia.org/wiki/Stefan%E2%80%93Boltzmann_constant) $\\sigma = \\frac{2\\pi^5k^4}{15h^3c^2}\\ {\\rm W/m^2/K^4}$ since the [2019 redefinition of SI base units](https://en.wikipedia.org/wiki/2019_redefinition_of_the_SI_base_units). The total flux that intercepts a surface that is a distance $r$ from a star with a luminosity $\\mathcal{L}$ the is defined as\n",
"\n",
"```{math}\n",
":label: flux_surf\n",
"\\mathcal{F} = \\frac{\\mathcal{L}}{4\\pi r^2}.\n",
"```\n",
"\n",
"If the surface is a stellar radius $R$, then the Stefan-Boltzmann law can be written as\n",
"\n",
"\\begin{align}\n",
"\\mathcal{L} = 4\\pi \\sigma R^2T^4.\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Albedo\n",
"Objects in the Solar System reflect part of the energy back into space, which makes them visible to us, while the remaining energy is absorbed. In principle, the amount of incident radiation that is reflected can be calculated at each frequency. The energy or flux absorbed by the object determines its temperature.\n",
"\n",
"1. *Monochromatic albedo* $A_\\nu$ is the fraction of incident energy that gets reflected (or scattered back) to space at a given frequency of light: \n",
" \n",
" \\begin{align*}\n",
" A_\\nu = \\frac{\\text{reflected or scattered light at frequency }\\nu}{\\text{incident radiation at frequency }\\nu}.\n",
" \\end{align*}\n",
"\n",
"2. [Bond albedo](https://en.wikipedia.org/wiki/Bond_albedo) $A_B$ (or planetary albedo) is where we integrate this over all frequencies: \n",
" \n",
" \\begin{align*}\n",
" A_\\nu = \\frac{\\text{total reflected or scattered light}}{\\text{incident radiation}}.\n",
" \\end{align*}\n",
"\n",
"A surface of a body in the Solar System scatters the Sun's light, which can be received by a telescope on Earth. The three angles of relevance are:\n",
"\n",
"- The angle $i$, which locates the incident light ray relative to the normal of the planet's surface (Fig. {numref}`{number}`).\n",
"- The angle $\\theta$ that locates the reflected ray along $\\hat{s}$ and received at the telescope (Fig. {numref}`{number}`).\n",
"- The [phase angle](https://en.wikipedia.org/wiki/Phase_angle_%28astronomy%29) $\\phi$ (or angle of reflectance) that locates the Sun and Earth relative to the planet's position in its orbit (Fig. {numref}`{number}`).\n",
"\n",
"`````{grid}\n",
":gutter: 3\n",
"\n",
"````{grid-item-card}\n",
"```{figure-md} surface-element-fig\n",
" \n",
"\n",
"Sketch of the geometry for a surface element $dA$ with a unit vector $\\hat{z}$ that is normal to the surface, the ray $\\hat{s}$ is along the line of\n",
"sight, and $\\hat{s}$ makes an angle $\\theta$ with the normal to the surface. An incident ray approaches at an angle $i$ relative to the normal, which reflects along $\\hat{s}$ with a solid angle $d\\Omega_s$.\n",
"```\n",
"````\n",
"\n",
"````{grid-item-card}\n",
"```{figure-md} phase-angle-fig\n",
" \n",
"\n",
"Diagram of the phase angle that indicates the relative orbital position of the Sun-object-Earth system. Image credit: Wikipedia:[phase angle](https://en.wikipedia.org/wiki/Phase_angle_%28astronomy%29).\n",
"```\n",
"````\n",
"`````\n",
"\n",
"In the case of a phase angle, the light can be purely backscattered ($\\phi=0^\\circ$), forward scattered $(\\phi=180^\\circ)$, or somewhere in between. Light is often scattered in a preferred direction that is described by the **scattering phase function**. For particles similar in size to (or slightly larger than) the wavelength of light (i.e., infrared waves and micron-sized dust grains), the preferred scattering angle is in the forward direction. For particles *smaller* than the wavelength of light, the scattering is more isotropic (i.e., all directions).\n",
"\n",
"From Earth, all phase angles $(0^\\circ < \\phi < 180^\\circ)$ can only be measured for planets with heliocentric distances less than 1 AU (i.e., Mercury and Venus) and the Moon. The outer planets are observed from Earth at phase angles close to $0^\\circ$. \n",
"\n",
"For purely backcscattered radiation $(\\phi = 0^\\circ)$, the [geometric albedo](https://en.wikipedia.org/wiki/Geometric_albedo) $A_g$ (see notes from [David Catling](http://faculty.washington.edu/dcatling/555_PlanetaryAtmos/EnergySourcesOrbits_Student.pdf)) is defined by:\n",
"\n",
"\\begin{align}\n",
"A_g = \\frac{\\mathcal{F}(\\phi = 0^\\circ)}{\\mathcal{F}_\\odot},\n",
"\\end{align}\n",
"\n",
"which depends on the flux $\\mathcal{F}$ reflected from the body at phase angle $\\phi = 0^\\circ$ (i.e., $\\mathcal{F}(\\phi = 0^\\circ)$), and the solar constant $\\mathcal{F}_\\odot$ that is defined as the solar flux received at $r_\\oplus = 1\\ {\\rm AU}$. The [solar constant](https://en.wikipedia.org/wiki/Solar_constant) is defined in SI units ([Prša et al. 2016](https://iopscience.iop.org/article/10.3847/0004-6256/152/2/41)) as\n",
"\n",
"\\begin{align}\n",
"\\mathcal{F}_\\odot \\equiv \\frac{\\mathcal{L}_\\odot}{4\\pi r_\\oplus^2} = 1361\\ {\\rm W/m^2}.\n",
"\\end{align}\n",
"\n",
"```{note}\n",
"[Cahoy, Marley, & Fortney (2010)](https://iopscience.iop.org/article/10.1088/0004-637X/724/1/189) demonstrate the uses of Bond and geometric albedo for exoplanet imaging.\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Brightness and Effective Temperatures\n",
"The temperature of blackbody can be determined using Planck's radiation law by measuring a small part of the object's radiation curve. This is usually impractical because most bodies are not *perfect* blackbodies, but exhibit spectral features that complicate temperature measurements. Instead, it is more common to relate the observed flux density $\\mathcal{F}_\\nu$ to the **brightness temperature** $T_b$. The brightness temperature matches the brightness of the body to the same brightness of an ideal black body at a particular frequency (i.e., $T\\rightarrow T_b$ in Eqn. {eq}`Plancks_law`).\n",
"\n",
"If the total flux integrated over all frequencies can be determined, then the temperature corresponding to a blackbody emitting the same amount of energy or flux $\\mathcal{F}$ is referred to as the **effective temperature** $T_{\\rm eff}$:\n",
"\n",
"\\begin{align}\n",
"T_{\\rm eff} \\equiv \\left(\\frac{\\mathcal{F}}{\\sigma}\\right)^{1/4},\n",
"\\end{align}\n",
"\n",
"using the Stefan-Boltzmann law (Eqn. {eq}`SB_law`). The wavelength range that is representative for most of an object's radiation can be estimated via Wien's displacement law (Eqn. {eq}`Wien_law_constant`). For object with temperatures of $150-300\\ {\\rm K}$ (in the inner Solar System) the wavelengths occur in the mid-infrared $(10-20\\ {\\rm \\mu m})$, while the cooler temperatures of $\\sim 40-50\\ {\\rm K}$ (in the outer Solar System) occur at far-infrared wavelengths $(\\sim 60-70\\ {\\rm \\mu m})$.\n",
"\n",
"### Equilibrium Temperature\n",
"The **equilibrium temperature** can be calculated once the incoming flux $\\mathcal{F}_{\\rm in}$ (i.e., solar radiation, or insolation) is in balance with the outgoing flux $\\mathcal{F}_{\\rm out}$ from the re-radiation. If a body's temperature is *completely* determined by the incident solar flux, then the equilibrium temperature equals the effective temperature. Any discrepancies between the effective and equilibrium temperatures contain valuable information on the object.\n",
"\n",
"Jupiter, Saturn, and Neptune exceed the equilibrium temperature, which implies that these bodies possess internal heat sources. Venus' surface temperature is far hotter than the equilibrium temperature of the planet, which is a consequence of a strong greenhouse effect in its atmosphere. The effective temperature of Venus is equal to the equilibrium temperature due to domination by radiation from the planet's cool upper atmosphere. This implies that Venus has a negligible heat source.\n",
"\n",
"The sunlit hemisphere of a (spherical) body of radius $R$ receives solar radiation in the amount of:\n",
"\n",
"```{math}\n",
":label: ASR\n",
"\\mathcal{P}_{\\rm in} = \\left(1-A_B\\right)\\frac{\\pi R^2 \\mathcal{L}}{4\\pi r^2} = \\left(1-A_B\\right)\\mathcal{F}\\left(\\pi R^2\\right),\n",
"```\n",
"\n",
"which depends on the Bond albedo $A_B$, the cross-sectional area $(\\pi R^2)$ of the planet intercepting the solar energy, and the flux intercepted at the planet's orbital distance $r$. Equation {eq}`ASR` is also called the absorbed shortwave radiation ([ASR](https://brian-rose.github.io/ClimateLaboratoryBook/courseware/zero-dim-ebm.html#absorbed-shortwave-radiation-asr-and-planetary-albedo)).\n",
"\n",
"A rapidly rotating planet re-radiates energy (outgoing longwave radiation ([OLR](https://brian-rose.github.io/ClimateLaboratoryBook/courseware/zero-dim-ebm.html#recap-of-our-simple-greenhouse-model))) from its entire surface (with a surface area of $4\\pi R^2$) to get\n",
"\n",
"```{math}\n",
":label: OLR\n",
"\\mathcal{P}_{\\rm out} = \\epsilon_\\lambda \\mathcal{L} = \\epsilon_\\lambda 4\\pi R^2 \\sigma T^4.\n",
"```\n",
"\n",
"```{note}\n",
"The incoming solar radiation (**ASR**) is primarily at optical (**short**) wavelengths, and thermal emission (**OLR**) from planets is radiated **out**ward primarily at infrared (**long**) wavelengths.\n",
"```\n",
"\n",
"The emissivity $\\epsilon_\\lambda$ depends on the outgoing wavelength and the size of the object. For objects that are large compared to the wavelength in infrared, $\\epsilon \\sim 0.9$, where it can differ substantially from unity at radio wavelengths. Objects much smaller than the wavelength $(R\\leq \\lambda/10)$ do not radiate efficiently, where $\\epsilon_\\lambda < 1$.\n",
"\n",
"For equilibrium, there must be a balance between the incoming insolation and the outgoing radiation (i.e., $\\mathcal{P}_{\\rm in} = \\mathcal{P}_{\\rm out}$). Then the equilibrium temperature can be estimated by\n",
"\n",
"```{math}\n",
":label: T_eq\n",
"T_{\\rm eq} &= \\left( \\frac{(1-A_B)\\mathcal{F}}{4\\epsilon_\\lambda \\sigma} \\right)^{1/4}, \\\\[5pt]\n",
"&= \\left( \\frac{(1-A_B)\\mathcal{L}}{16\\pi r^2 \\epsilon_\\lambda \\sigma} \\right)^{1/4}.\n",
"```\n",
"\n",
"The disk-averaged equilibrium temperature (Eqn. {eq}`T_eq`) gives useful information on the temperature $\\sim 1$ meter below a planetary surface. If $\\epsilon_\\lambda \\sim 1$, it corresponds well with the actual (physical) temperature of the subsurface layers where diurnal (i.e., day/night) and seasonal temperature variations are important. These layers can be probed at radio wavelengths, and the observed brightness temperature at long wavelengths can be compared directly with the equilibrium temperature.\n",
"\n",
"The latitudinal and longitudinal effects of the insolation pattern were omitted in the derivation of Eqn. {eq}`T_eq`, where these effects depend on the planet's rotation rate, obliquity, and orbit. Latitudinal and longitudinal effects are large on airless planets that rotate slowly, have small obliquities, and/or travel on very eccentric orbits about the Sun."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Radiation\n",
"The transport of heat in a planetary atmosphere is typically dominated by radiation in a planet's upper atmosphere and stratosphere. The radiation efficiency depends *critically* on the (photon) emission and absorption properties of the atmospheric gas. Atomic structure and energy transitions in atoms and molecules largely define the radiation efficiency. The equations of radiative transfer also depend on some concepts from physics (e.g., specific intensity, flux density, and mean intensity).\n",
"\n",
"### Photons and Energy Levels in Atoms\n",
"The energy $E$ and momentum $p$ of a photon are given by\n",
"\n",
"```{math}\n",
":label: energy_mom\n",
"E &= h\\nu, \\\\\n",
"E &= pc,\n",
"```\n",
"\n",
"which depend on Planck's constant $h$, the speed of light $c$, and the frequency of light $\\nu$. The momentum is actually a vector quantity that travels along a unit vector $\\hat{s}$ along the direction of propagation (Fig. {numref}`{number}`).\n",
"\n",
"Emission and absorption of photons by atoms or molecules occur by a change in the *energy state*. Each atom consists of a nucleus surrounded by a 'cloud' of electrons, but Bohr's semiclassical theory simplifies this picture. In Bohr's model of hydrogen, the electron orbits the nucleus, such that the centrifugal force is balanced by the Coulomb force:\n",
"\n",
"\\begin{align}\n",
"\\frac{m_e v^2}{r} = \\frac{Zq^2}{4\\pi \\epsilon_o r^2}.\n",
"\\end{align}\n",
"\n",
"These forces depend on the mass $m_e$, velocity $v$, and charge $q$ of the electron, as well as the radius $r$ of the electron's orbit (assumed to be circular) and a fundamental constant $\\epsilon_o$ that mediates the electrostatic force. The atomic number $Z$ is included so that the relation can be generalized later, where $Z=1$ for hydrogen. Electrons are in orbits, where the angular momentum is quantized, or\n",
"\n",
"```{math}\n",
":label: quant_ang_mom\n",
"m_e vr_n = n\\hbar,\n",
"```\n",
"\n",
"depending on the **principal quantum number** (integer) $n$ and 'hbar' $\\hbar$, which is a form of Planck's constant (i.e., $\\hbar=h/(2\\pi)$). The radius $r$ in Eqn. {eq}`quant_ang_mom` can be written in terms of fundamental constants as\n",
"\n",
"```{math}\n",
":label: Bohr_rn\n",
"r_n = \\frac{n^2 4\\pi \\epsilon_o \\hbar^2}{m_e Zq^2}.\n",
"```\n",
"\n",
"The radius of the lowest energy state ($n=1$) for the hydrogen atom is called the **Bohr radius**:\n",
"\n",
"\\begin{align}\n",
"r_1 = \\frac{\\hbar^2}{m_e q^2} \\approx 5.3 \\times 10^{-11}\\ {\\rm m}.\n",
"\\end{align}\n",
"\n",
"The energy $E_n$ is quantized, which can be determined through the kinetic and potential (Coulomb) energy as\n",
"\n",
"\\begin{align}\n",
"E_n &= \\frac{1}{2}m_e v^2 - \\frac{Zq^2}{4\\pi \\epsilon_o r}, \\\\[5pt]\n",
" &= \\frac{Zq^2}{4\\pi \\epsilon_o r} - \\frac{Zq^2}{4\\pi \\epsilon_o r}, \\\\[5pt]\n",
" &= - \\frac{Zq^2}{8\\pi \\epsilon_o r}.\n",
"\\end{align}\n",
"\n",
"The quantized radius (Eqn. {eq}`Bohr_rn`) for hydrogen can be substituted to get\n",
"\n",
"\\begin{align}\n",
"E_n = - \\frac{E_o}{n^2},\n",
"\\end{align}\n",
"\n",
"in terms of the ground-state energy $E_o$, which is $13.6\\ {\\rm eV}$ for hydrogen (see [here](https://saturnaxis.github.io/ModernPhysics/Chapter_4/structure-of-the-atom.html#the-bohr-model-of-the-hydrogen-atom) for a more detailed derivation). Figure {numref}`{number}` illustrates the transitions between energy levels for the hydrogen atom.\n",
"\n",
"```{figure-md} hydrogen-transitions-fig\n",
" \n",
"\n",
"The energy spectrum of the hydrogen atom. Energy levels (horizontal lines) represent the bound states of an electron in the atom. There is only one ground state, $n=1$, and infinite quantized excited states. The states are enumerated by the quantum number $n=1,\\ 2,\\ 3,\\ 4,\\ \\ldots$ Vertical lines illustrate the allowed electron transitions between the states. Downward arrows illustrate transitions with an emission of a photon with a wavelength in the indicated spectral band. Image credit: OpenStax:[University Physis Vol 3](https://openstax.org/books/university-physics-volume-3/pages/6-4-bohrs-model-of-the-hydrogen-atom).\n",
"```\n",
"\n",
"The transitions between a given state (e.g., $n=1,\\ 2,\\, 3$) and higher levels in a hydrogen atom are named after the scientist that discovered the series within an emission spectrum. The **Lyman series** corresponds to transitions from $n=1$, while the **Balmer** and **Paschen** series correspond to transitions from $n=2$ and $n=3$, respectively. The individual transitions within a series are delineated using the Greek alphabet (e.g., $\\alpha$, $\\beta$, $\\gamma$, etc.). For example, the transition between $n=1$ to $n=2$ produce the $\\rm Ly\\ \\alpha$ spectral line, where the transition from $n=1$ to $n=3$ produces the $\\rm Ly\\ \\beta$ line. If the electron is unbound, then the atom is **ionized**. To ionize hydrogen with an electron in the ground state, an incoming photon must supply an energy $\\geq 13.6\\ {\\rm eV}$ ($1\\ {\\rm eV} = 1.6 \\times 10^{-19}\\ {\\rm J}$). Photons with the requisite energy have wavelengths shorter than $91.2\\ {\\rm nm}$ (i.e., the **Lyman limit**).\n",
"\n",
"```{note}\n",
"The energy levels of molecules are more numerous than those of isolated atoms because rotation and vibration of the individual atoms also requires energy. This multiplicity leads to numerous molecular lines.\n",
"```\n",
"\n",
"Transitions between energy levels may result in the *absorption* or *emission* of a photon with an energy $\\Delta E$ that corresponds to exactly the difference in energy between two levels. The energy difference between electron orbits (and the frequency of the photon associated with the transition) decrease with increasing $n$. Electronic transitions to or from the ground state $(n=1)$ may be observed at ultraviolet (UV) or optical wavelengths. Other transitions (e.g., high $n$, (hyper)fine structure in atomic spectra, and molecular rotation/vibration) occur at infrared (IR) or radio wavelengths because the spacing between energy levels is much smaller (i.e., $\\Delta E \\propto 1/\\lambda$). Each atom or molecule has its own unique set of energy transitions, which allows scientists to use measurements of absorption/emission spectra to identify particular species in an atmosphere or surface."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Spectroscopy\n",
"Spectroscopy uses the dispersion of light as a function of wavelength to identify the composition of various materials. We distinguish among three types of spectra, which represent [Kirchoff's laws of radiation](https://en.wikipedia.org/wiki/Gustav_Kirchhoff#Kirchhoff's_three_laws_of_spectroscopy):\n",
"\n",
"1. A solid, liquid, or dense gas excited to emit light will radiate at all wavelengths and thus produce a **continuous** spectrum (Fig. {numref}`{number}` left).\n",
"2. If light composing a continuous spectrum passes through a cool, low-density gas, the result will be an **absorption** spectrum (Fig. {numref}`{number}` middle). The gas lies between the observer and the light source.\n",
"3. A low-density gas excited to emit light will do so at specific wavelengths and this produces an **emission** spectrum (Fig. {numref}`{number}` right). The observer is not typically along the line-of-sight of the gas and the light source.\n",
"\n",
"```{figure-md} kirchhoff-laws-fig\n",
" \n",
"\n",
"The three conditions that give rise to the three Kirchoff's laws for the creation of a continuous (left), absorption (middle), and emission spectrum (right). Image credit: [Penn State Astronomy & Astrophysics](https://www.e-education.psu.edu/astro801/content/l3_p6.html).\n",
"```\n",
"\n",
"For material in **thermodynamic equilibrium** with the radiation field, the amount of energy emitted via thermal excitation $j_\\nu$ must equal the energy absorbed through\n",
"\n",
"```{math}\n",
":label: Kirchhoff_law\n",
"j_\\nu = \\kappa_\\nu B_\\nu(T),\n",
"```\n",
"\n",
"which depends on Planck's function $B_\\nu(T)$ and the mass absorption coefficient $\\kappa_\\nu$.\n",
"\n",
"#### Spectra\n",
"In astrophysics, absorption lines occur when atoms or molecules absorb photons (at a particular frequency) from a beam of radiation. Emission lines arise from gas clouds heated by a background source (e.g., Pleiades). The center of the absorption line at a frequency $\\nu_o$ has a flux $\\mathcal{F}_{\\nu_o}$ that is less than the flux $\\mathcal{F}_c$ from the background continuum level (see the example line profile in Fig. {numref}`{number}`). For planets, we see atomic and molecular absorption both in reflected sunlight (at UV, visible, and near-IR wavelengths) and in thermal emission (at IR and radio wavelengths) spectra, as shown in the Earth spectra in Fig. {numref}`{number}`.\n",
"\n",
"````{tab} Example Line Profile\n",
"\n",
"```{figure-md} line-profile-fig\n",
" \n",
"\n",
"Schematic of an absorption line profile, where the flux varies with the frequency of light. The absorption depth $A_\\nu$ corresponds to the chemical concentration within a material at a frequency $\\nu_o$. The flux continuum level $\\mathcal{F}_c$ measures the intensity given by a continuous spectrum, while the center of the absorption has a flux density $\\mathcal{F}_{\\nu_o}$.\n",
"```\n",
"````\n",
"\n",
"````{tab} Earth Spectra\n",
"```{figure-md} Earth-spectra-fig\n",
" \n",
"\n",
"The transmission spectra for Earth in the visible $(0.38-0.76\\ {\\rm \\mu m})$, near-IR $(0.76-2.5\\ {\\rm \\mu m})$, and IR $(2.5-20\\ {\\rm \\mu m})$ showing some of the biomarkers in each region. Image credit: [Kaltenegger & Traub (2009)](https://iopscience.iop.org/article/10.1088/0004-637X/698/1/519#apj300679f3).\n",
"```\n",
"````\n",
"\n",
"Planets, moons, asteroids, and comets are visible because sunlight reflects off their surfaces, cloud layers, or atmospheric layers. Sunlight itself displays a large number of absorption lines (i.e., the **Fraunhofer absorption spectrum**) because atoms in the solar photosphere (i.e., outer layer of its atmosphere) absorb part of the sunlight coming from the deeper, *hotter* layers. If all the sunlight hitting a planetary surface is reflected back into space the planet's spectrum is shaped like the solar spectrum (apart from a Doppler shift induced from the planet's motion).\n",
"\n",
"Atoms and molecules in a planet's atmosphere or surface may absorb *some* of the Sun's light at specific frequencies and can introduce additional absorption lines in the planet's observed spectrum. For example, Uranus and Neptune are greenish-blue because methane gas (within their atmospheres) absorbs in the red part of the visible spectrum, so the sunlight reflected back into space is primarily bluish.\n",
"\n",
"The temperature decreases with altitude in the Sun's photosphere, and the Fraunhofer absorption lines are visible as a decrease in the line intensity. Most of the thermal emission from a planetary atmosphere comes from deeper warmer layers, and some of these photons may be absorbed by gases in the outer layers. Spectral lines formed in a planet's troposphere (lower atmosphere) are also visible as absorption profiles. Lines formed in a planet's stratosphere are visible as *emission* profiles.\n",
"\n",
"The cause of this difference is due to the **optical depth** $\\tau_\\nu$, which is defined as the integral of the mass extinction coefficient $\\alpha_\\nu$ along the line of sight $s$ as\n",
"\n",
"```{math}\n",
":label: optical_depth\n",
"\\tau_\\nu \\equiv \\int_{s_1}^{s_2} \\alpha_\\nu(s) \\rho(s)\\ ds.\n",
"```\n",
"\n",
"In a spectrum of a planet's atmosphere, the optical depth at the center of the line is always largest. The line profile of a plant's thermal emission spectrum reveals that temperature and pressure at the altitudes probed. \n",
"\n",
"- In the troposphere (temperature decreases with altitude), lines are seen as an absorption against the warm continuum background.\n",
"- In the tropopause, the line is seen in emission against the cooler background.\n",
"\n",
"Astrophysics speaks in terms of emission or absorption lines, where in atmospheric science, the lines are described relative to the continuum as **in emission** $(\\mathcal{F}_{\\nu_o}>\\mathcal{F}_c)$ or **in absorption** $(\\mathcal{F}_{\\nu_o}<\\mathcal{F}_c)$ depending on whether the temperature is increasing or decreasing with altitude in the region of line formation.\n",
"\n",
"For large objects that are well resolved (e.g., the Sun, planets, and some satellites), a gradual (or sometimes abrupt) decrease in the intensity of light can be measured that changes with distance from the center of the object to the limb (i.e., edge) called **limb darkening**. The inverse effect (i.e., a gradual brightening) is called **limb brightening**.\n",
"\n",
"If we observe the thermal emission from a giant planet, this effect can be explained using the temperature profile of the atmosphere and the optical depth. If the temperature is decreasing with altitude, we see limb darkening because of the greater path length through the cooler outer portion of the atmosphere near a planet's limb compared to its center. If the temperature increases with altitude, then we see limb brightening instead.\n",
"\n",
"While the Sun demonstrates limb darkening, an example of limb brightening appears in the near-IR $(1-2\\ {\\rm \\mu m})$ images of Titan. At these wavelengths, the satellite is seen in reflected sunlight. Haze layers in the atmosphere cause limb brightening because the haze optical depth *increases* towards the limb. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"#### Doppler Shift and Line Broadening\n",
"Photons are emitted or absorbed in response to the excitation or de-excitation of electrons between energy levels, where the difference between energy levels $\\Delta E$ determines to the specific frequency of the photons. According to the **Heisenberg uncertainty principle**, a photon can be absorbed/emitted with an energy slightly different from $\\Delta E$, which results in a finite width for the observed spectral line profile $\\Phi_\\nu$. This quantum mechanical effect is one type of line broadening called **natural broadening**.\n",
"\n",
"The frequency of the object's emission and absorption lines is Doppler shifted $\\Delta \\nu$ depending on the velocity $v_r$ of the object along the line of sight by \n",
"\n",
"\\begin{align}\n",
"\\Delta \\nu = \\frac{v_r}{c} \\nu.\n",
"\\end{align}\n",
"\n",
"A positive **Doppler shift** occurs if the object moves towards the observer (*blue shifted*) and negative if the object moves away from the observer (*red shifted*). This phenomenon has bee used to determine the rotation rate of Mercury using radar techniques. upon transmitting a radar pulse at a specific frequency, the signal is blue shifted by the approaching limb and red shifted by the receding limb. These Doppler shifts broaden the radar signal upon reflection by an amount proportional to the planet's rotation rate.\n",
"\n",
"In an atmosphere, the motion of atoms and molecules occur in all directions, which broadens the line profile more than the natural line profile. This is called **Doppler broadening**.\n",
"\n",
"In a dense gas, collisions between particles perturb the energy levels of the electrons such that photons with a slightly lower or higher frequency can cause excitation/de-excitation. This also lead to a broadening of the line profile called **pressure broadening**. Pressure broadened profiles tend to be broader than Doppler broadened profiles. The detailed shape of a line profile is determined by the chemical abundance producing the lines, as well as the pressure and temperature of the environment.\n",
"\n",
"### Radiative Energy Transport\n",
"The equations of radiative energy transport govern the temperature-pressure profile when the absorption and re-emission of photons dominates. The change in intensity $dI_\\nu$ within a gas cloud is equal to the net emission and absorption by\n",
"\n",
"```{math}\n",
":label: spec_I\n",
"dI_\\nu = \\left(j_\\nu - I_\\nu \\alpha_\\nu\\right) \\rho\\ ds,\n",
"```\n",
"\n",
"which depends on the specific intensity $I_\\nu$ (in units of $\\rm W/m^2/Hz/sr$) and the density $\\rho$ of the gas along a distance $ds$. The *emission coefficient* $j_\\nu$ includes both the effects of scattering and thermal excitation, where the *mass extinction coefficient* $\\alpha_\\nu$ has components of mass absorption $\\kappa_\\nu$ and scattering $\\sigma_\\nu$ (i.e., $\\alpha_\\nu = \\kappa_\\nu + \\sigma_\\nu$).\n",
"\n",
"```{note}\n",
"Some other texts will use $\\kappa_\\nu$ to denote the mass extinction coefficient, assuming that it largely dominates over the contribution due to scattering (i.e., $\\kappa_\\nu \\gg \\sigma_\\nu$ and $\\alpha_\\nu \\approx \\kappa_\\nu$)\n",
"```\n",
"\n",
"The specific intensity is the energy radiated by a blackbody at a frequency $\\nu$ or\n",
"\n",
"\\begin{align}\n",
"I_\\nu = B_\\nu (T).\n",
"\\end{align}\n",
"\n",
"This intensity is emitted into a solid angle $d\\Omega_s$ (see Fig. {numref}`{number}`). The solid angle (in $\\rm sr$) is defined by the integration over a sphere of unit radius as\n",
"\n",
"\\begin{align}\n",
"\\oint d\\Omega_s = \\int_0^{2\\pi} \\int_0^\\pi \\sin \\theta d\\theta d\\phi = 4\\pi.\n",
"\\end{align}\n",
"\n",
"The **mean intensity** $J_\\nu$ of the radiation is equal to \n",
"\n",
"\\begin{align}\n",
"J_\\nu \\equiv \\frac{\\oint I_\\nu d\\Omega_s}{\\oint d\\Omega_s} = \\frac{1}{2} \\int_{-1}^1 I_\\nu d\\cos \\theta.\n",
"\\end{align}\n",
"\n",
"The angle $\\theta$ is shown in Fig. {numref}`{number}`, which represents the angle between the line of sight vector $\\hat{s}$ and $\\hat{z}$. Then the differential $ds = dz/\\cos \\theta$ and Eqn. {eq}`spec_I` can be rewritten as\n",
"\n",
"```{math}\n",
":label: spec_I_los\n",
"\\frac{\\cos \\theta}{\\rho} \\frac{dI_\\nu}{dz} = j_\\nu - \\alpha_\\nu I_\\nu.\n",
"```\n",
"\n",
"The definition of optical depth (Eqn. {eq}`optical_depth`) can be written as $d\\tau_\\nu = \\alpha_\\nu \\rho dz$, where Eqn. {eq}`spec_I_los` becomes\n",
"\n",
"\\begin{align}\n",
"\\alpha_\\nu \\cos \\theta \\frac{dI_\\nu}{d\\tau_\\nu } = j_\\nu - \\alpha_\\nu I_\\nu.\n",
"\\end{align}\n",
"\n",
"The **source function** $S_\\nu$ is defined as $S_\\nu \\equiv j_\\nu/\\alpha_nu$, where the general equation of radiative transport is\n",
"\n",
"```{math}\n",
":label: gen_rad_trans\n",
"\\cos \\theta \\frac{dI_\\nu}{d\\tau_\\nu } = S_\\nu - I_\\nu.\n",
"```\n",
"In the [special case of blackbody radiation](https://saturnaxis.github.io/ModernAstro/Chapter_9/stellar-atmospheres.html#the-special-case-of-blackbody-radiation), the solution to Eqn. {eq}`gen_rad_trans` is\n",
"\n",
"```{math}\n",
":label: bbody_transfer\n",
"I_\\nu(\\tau_\\nu) = I_\\nu(0)e^{-\\tau_\\nu} + S_\\nu \\left(1-e^{-\\tau_\\nu}\\right),\n",
"```\n",
"\n",
"where the background radiation $I_\\nu(0)$ is attenuated when propagating through the absorbing medium.\n",
"\n",
"```{note}\n",
"In radiative transfer calculations of planetary atmospheres, the optical depth is zero starting from the top of the atmosphere and increases as one moves towards the planet's surface.\n",
"```\n",
"\n",
"Four 'classic' cases of radiative transfer are:\n",
"\n",
"1. Consider a cloud of gas along the line of sight and assume that the cloud itself does not emit radiation (i.e., $j_\\nu = S_\\nu = 0$). Suppose that there is a source of radiation behind the cloud. The incident light $I_\\nu(0)$ is reduced in intensity according to Eqn. {eq}`bbody_transfer`, and the observed intensity is \n",
"\n",
" ```{math}\n",
" :label: Lamb_ea_law\n",
" I_\\nu(\\tau_\\nu) = I_\\nu(0)e^{-\\tau_\\nu},\n",
" ```\n",
"\n",
" and is called **Lambert's exponential absorption law**. \n",
" - If the gas cloud is optically thin $(\\tau_\\nu \\ll 1)$, Eqn. {eq}`Lamb_ea_law` can be approximated by: $I_\\nu(\\tau_\\nu) = I_\\nu(0)(1-\\tau_\\nu)$. \n",
" - For very small $\\tau_\\nu$, $I_\\nu(\\tau_\\nu) \\rightarrow I_\\nu(0)$, where the radiation intensity is defined by the incident radiation.\n",
" - If the cloud is optically thick $(\\tau_\\nu \\gg 1)$, the radiation is reduced to near zero.\n",
"2. If the material in the cloud is in [local thermodynamic equilibrium](https://saturnaxis.github.io/ModernAstro/Chapter_9/stellar-atmospheres.html#temperature-and-local-thermodynamic-equilibrium) (LTE), the radiation field obeys: \n",
"\n",
" \\begin{align}\n",
" I_\\nu = J_\\nu = B_\\nu(T).\n",
" \\end{align}\n",
"\n",
" If there is no scattering (i.e., $\\sigma_\\nu = 0$), then $\\kappa_\\nu = \\alpha_nu$. The material is in equilibrium with the radiation field, the amount of energy emitted must be equal to the amount of energy absorbed. The source function is given by $S_\\nu = B_\\nu(T)$.\n",
"3. Assume that $j_\\nu$ is due to scattering only (i.e., $j_\\nu = \\sigma_\\nu I_\\nu$), where we receive sunlight that is reflected towards us. In general, scattering removes radiation from a particular direction and redirects (or introduces) it into another direction. If photons undergo only one encounter with a particle, the process is called **single scattering** and multiple encounters produces multiple scattering. The **single scattering albedo** $\\varpi_\\nu$ represents the fraction of radiation lost due to scattering by \n",
"\n",
" \\begin{align}\n",
" \\varpi_\\nu \\equiv \\frac{\\sigma_\\nu}{\\alpha_\\nu}.\n",
" \\end{align}\n",
"\n",
" The single scattering albedo is equal to unity if the mass absorption coefficient $\\kappa_\\nu$ is equal to zero and $S_\\nu = \\varpi I_\\nu = I_\\nu.$\n",
"4. For LTE $(I_\\nu = J_\\nu)$ and isotropic scattering, the fraction of radiation that is absorbed by the medium is given by $\\kappa_\\nu/\\alpha_\\nu = 1 - \\varpi_\\nu.$ Using Kirchoff's law (Eqn. {eq}`Kirchhoff_law`), we can write the source function as \n",
" \n",
" \\begin{align}\n",
" S_\\nu = \\varpi_\\nu J_\\nu + (1-\\varpi_\\nu)B_\\nu(T).\n",
" \\end{align} \n",
"\n",
"### Radiative Equilibrium\n",
"Energy transport in a planet's stratosphere is usually dominated by radiation. If the total flux $\\mathcal{F}$ is independent of height $z$, the atmosphere is in **radiative equilibrium**, or\n",
"\n",
"\\begin{align}\n",
"\\frac{d\\mathcal{F}}{dz} = 0.\n",
"\\end{align}\n",
"\n",
"If an atmosphere is in hydrostatic (and radiative) equilibrium and its equation of station is given by the ideal gas law, then its temperature-pressure relation can be written as\n",
"\n",
"```{math}\n",
":label: temp_press_relation\n",
"\\frac{dT}{dP} \\approx -\\frac{3T \\alpha_{\\rm R}}{16 g_{\\rm p}} \\left(\\frac{T_e}{T}\\right)^4,\n",
"```\n",
"\n",
"which depends on the mean absorption coefficient $\\alpha_{\\rm R}$ and the local acceleration due to gravity $g_{\\rm p}$ of the planet (see Sect. {numref}`{number}`). \n",
"\n",
"Both $T$ and $B_\\nu(T)$ vary with depth in a planetary atmospheres, as well as the abundances of many absorbing gases. The best approach to solving for the temperature structure is to solve the transport equation (Eqn. {eq}`gen_rad_trans`) at all frequencies with the requirement that the flux $\\mathcal{F}$ is constant with depth.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Greenhouse Effect\n",
"A planet's surface temperature can be substantially raised above its equilibrium temperature, if the planet has an optically thick atmosphere at infrared wavelengths. This condition is called the **greenhouse effect**. The Sun's radiation peaks in intensity within optical wavelengths, where its light enters an atmosphere that is relatively transparent (i.e., optically thin) at at visible wavelengths and heats the surface. The warm surface radiates its heat at infrared wavelengths. This radiation is absorbed by molecules in the air (especially the $\\rm CH_4$, $\\rm H_2O$, and $\\rm CO_2$). Infrared photons are emitted in a random direction when these molecule de-excite. The net effect is that the atmospheric (and surface) temperature increases until an equilibrium is reached between the input from solar energy and the planetary flux escaping into space. The greenhouse effect raises the (near) surface temperature of Earth, Venus, and Titan, where Mars' surface temperature remains low.\n",
"\n",
"The calculation for a temperature profile of an actual planetary atmosphere must include the energy absorbed from incident light and the emitted thermal flux. When averaged globally the solar energy is broken into these groups:\n",
"\n",
"- Almost 25% of the Sun's radiation that intercepts the top of Earth's atmosphere is absorbed by the atmosphere.\n",
"- 50% of the Sun's radiation is absorbed at the surface.\n",
"- Almost 33% of the Sun's radiation is reflected back to space without being absorbed.\n",
"\n",
"The optical depth of Earth's atmosphere (and those of other planets) is far larger to thermal (IR) radiation than it is to visible (optical) wavelengths. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Quantitative Results\n",
"The temperature in an atmosphere (at an optical depth $\\tau$) can be calculated from its temperature at the top of the atmosphere $T_o$ and the measured $\\tau$ by\n",
"\n",
"```{math}\n",
":label: atmos_temp\n",
"T = T_o\\left(1+\\frac{3}{2}\\tau \\right)^{1/4},\n",
"```\n",
"\n",
"where the effective temperature $T_{\\rm e}$ is related to $T_o$ through\n",
"\n",
"```{math}\n",
":label: eff_temp\n",
"T_{\\rm e} = 2^{1/4} T_o.\n",
"```\n",
"\n",
"The temperature profile in an *idealized gray* atmosphere with a top of the atmosphere temperature $T_o = 200\\ {\\rm K}$ is shown in Fig. {numref}`{number}`. If the temperature of a body is exclusively determined by the incident flux, then the effective temperature is equal to the equilibrium temperature (i.e., $T_{\\rm e} = T_{\\rm eq}$). At the top of the atmosphere (i.e., $\\tau = 0$), the temperature $T_o = 0.5^{1/4}T_{\\rm e}$.\n",
"\n",
"\n",
"```{glue:figure} optical_depth_fig\n",
":figwidth: 600px\n",
":name: \"optical-depth\"\n",
"\n",
"Temperature profile (as a function of optical depth $\\tau$) in an idealized gray atmosphere, where the temperature at the top of the atmosphere $T_o = 200\\ {\\rm K}$ (blue line). The effective temperature $T_{\\rm e}$ occurs at an optical depth $\\tau = 2/3$. The temperature just above the surface is determined assuming that the optical depth at the ground $\\tau_g = 100$. By substituting $\\tau = 2/3$ into Eqn. {eq}`atmos_temp`, we see that Eqn. {eq}`atmos_temp` reduces to Eqn. {eq}`eff_temp`. Thus continuum radiation is received from an effective depth within the atmosphere, where $\\tau = 2/3$.\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"data": {
"application/papermill.record/image/png": "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\n",
"application/papermill.record/text/plain": ""
},
"metadata": {
"scrapbook": {
"mime_prefix": "application/papermill.record/",
"name": "optical_depth_fig"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import rcParams\n",
"from myst_nb import glue\n",
"\n",
"rcParams.update({'font.size': 12})\n",
"rcParams.update({'mathtext.fontset': 'cm'})\n",
"\n",
"\n",
"def optical_depth(T_o, T):\n",
" # Calculate the optical depth in an atmosphere for a given temperature (in K)\n",
" # T_o = top-of-atmosphere temperature (in K)\n",
" # T = temperature (in K)\n",
" return (2./3.)*((T/T_o)**4 - 1)\n",
"\n",
"\n",
"T_o = 200 # top of atmosphere temperature (in K)\n",
"T_rng = np.arange(T_o, 700, 1)\n",
"\n",
"fs = 'large'\n",
"col = (218/256., 26/256., 50/256.)\n",
"\n",
"fig = plt.figure(figsize=(5, 5), dpi=150)\n",
"ax = fig.add_subplot(111)\n",
"\n",
"ax.axvline(T_o, color='b', lw=1.5)\n",
"\n",
"tau = optical_depth(T_o, T_rng)\n",
"ax.plot(T_rng, tau, 'k-', lw=1.5)\n",
"\n",
"\n",
"T_e = 2**0.25*T_o\n",
"ax.axvline(T_e, 0., 0.53, linestyle='--', color=col, lw=1.5)\n",
"ax.axhline(2./3., 0, (23.8-19)/61., linestyle='--', color=col, lw=1.5)\n",
"ax.text(245, 2./3., '$\\\\tau = 2/3$', fontsize=fs, color=col)\n",
"ax.text(690, 70, '$\\\\tau_g$', fontsize=fs, color='k')\n",
"ax.text(240, 180, '$T_{\\\\rm e}$', fontsize=fs,\n",
" color=col, horizontalalignment='center')\n",
"\n",
"ax.set_xlabel(\"Temperature $T$ (K)\", fontsize=fs)\n",
"ax.set_ylabel(\"Optical depth $\\\\tau$\", fontsize=fs)\n",
"\n",
"ax.set_xlim(190, 800)\n",
"ax.set_xticks(np.arange(200, 900, 100))\n",
"ax.set_ylim(100, 0.01)\n",
"ax.set_yscale('log')\n",
"\n",
"ax.minorticks_on()\n",
"ax.tick_params(which='major', axis='both',\n",
" direction='out', length=6.0, width=3.0)\n",
"ax.tick_params(which='minor', axis='both',\n",
" direction='out', length=3.0, width=2.0)\n",
"\n",
"glue(\"optical_depth_fig\", fig, display=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The air temperature just above the ground $T_g$ has an optical depth $\\tau_g$, where this temperature can be computed by adding a radiative downward contribution from the top of the atmosphere (with a temperature $T_o$) and the radiative upward contribution from the surface (with a temperature $T(\\tau_g)$) to get\n",
"\n",
"\\begin{align}\n",
"T_g = (T^4(\\tau_g) + T_o^4)^{1/4},\n",
"\\end{align}\n",
"\n",
"where Eqns. {eq}`atmos_temp` and {eq}`eff_temp` can be substituted to get \n",
"\n",
"```{math}\n",
":label: surface_greenhouse\n",
"T_g &= \\left[T_o^4 \\left(1 + \\frac{3}{2}\\tau_g \\right) + T_o^4\\right]^{1/4}, \\\\\n",
"&= \\left[T_o^4 \\left(2 + \\frac{3}{2}\\tau_g \\right) \\right]^{1/4}, \\\\\n",
"&= T_{\\rm e} \\left(1 + \\frac{3}{4}\\tau_g \\right)^{1/4}.\n",
"```\n",
"\n",
"The surface temperature in a radiative atmosphere can be very high if the IR opacity is also high (see more details [here](https://www.lpl.arizona.edu/~griffith/ATMOS15/Lec9-runawayGH.pdf)).\n",
"\n",
"The greenhouse effect is particularly strong on Venus, where the surface temperature reaches $733\\ {\\rm K}$. This is almost $500\\ {\\rm K}$ above the equilibrium temperature of ${\\sim}240\\ {\\rm K}$. The greenhouse effect is also noticeable on Titan and Earth (an increase of $21\\ {\\rm K}$ and $33\\ {\\rm K}$, respectively), while the temperature is raised by only ${\\sim}6\\ {\\rm K}$ on Mars.\n",
"\n",
"The greenhouse warming on Titan is partially compensated by cooling produced by small haze particles in the stratosphere that block short-wavelength sunlight, but are transparent to long-wavelength thermal radiation from Titan (i.e., the **anti-greenhouse effect**). Similar effects are observed on Earth after giant volcanic eruptions (e.g., 1991 explosion of Mt Pinatubo in the Philippines), which inject huge amounts of ash into the stratosphere.\n",
"\n",
"Icy material allows sunlight to penetrate several centimeters (or more) below the surface but is mostly opaque to re-radiated thermal IR emission. The subsurface region can become significantly warmer than the equilibrium temperature would indicate. This process is called the **solid-state greenhouse effect** and is analogous with the atmospheric trapping of thermal IR emission.\n",
"\n",
"The subsurface Lake Untersee in Antarctica is maintained by a special case of the solid-state greenhouse effect known as the ice-covered greenhouse effect. The ice-covered greenhouse effect may induce habitable liquid water environments just below the surface of a body that is too cold (and/or does not have sufficient atmospheric pressure) to have liquid water on its surface."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Thermal Profile Derived\n",
"The temperature structure in an atmosphere in radiative equilibrium stems from the [diffusion equation](https://en.wikipedia.org/wiki/Diffusion_equation), an expression for a time-dependent flow through space. In the context of planetary atmosphere, radiation flows through a 1D slab of gas (i.e., atmosphere) as a function of altitude $z$. The diffusion equation in an optically thick atmosphere (that is approximately in LTE) is given by \n",
"\n",
"- $I_\\nu \\approx S_\\nu \\approx B_\\nu(T)$, and\n",
"- assumed to be in radiative equilibrium, $d\\mathcal{F}_\\nu/dz = 0$.\n",
" \n",
"The general equation of radiative transport (Eqn. {eq}`gen_rad_trans`) can be integrated over a sphere by using the relations between the [specific radiative flux](https://saturnaxis.github.io/ModernAstro/Chapter_9/stellar-atmospheres.html#the-specific-radiative-flux) and [mean intensity](https://saturnaxis.github.io/ModernAstro/Chapter_9/stellar-atmospheres.html#the-specific-and-mean-intensities)\n",
"\n",
"```{math}\n",
":label: therm_trans\n",
"\\frac{d}{d\\tau_\\nu} \\int I_\\nu \\cos \\theta d\\Omega &= S_\\nu \\int d\\Omega - \\int I_\\nu d\\Omega, \\\\\n",
"\\frac{d\\mathcal{F}_\\nu}{d\\tau_\\nu} &= 4\\pi \\left(B_\\nu - J_\\nu \\right).\n",
"```\n",
"\n",
"Another relation can be obtain by first multiplying by $\\cos \\theta$ and then integrating over a sphere to get\n",
"\n",
"```{math}\n",
":label: rad_flux\n",
"\\frac{d}{d\\tau_\\nu} \\int I_\\nu \\cos^2 \\theta d\\Omega &= S_\\nu \\int \\cos \\theta d\\Omega - \\int I_\\nu \\cos \\theta d\\Omega, \\\\\n",
"\\frac{dJ_\\nu}{d\\tau_\\nu} \\int \\cos^2 \\theta \\sin \\theta d\\theta d\\phi &= 0 - \\mathcal{F}_\\nu, \\\\\n",
"\\frac{4\\pi}{3}\\frac{dJ_\\nu}{d\\tau_\\nu} &= - \\mathcal{F}_\\nu,\n",
"```\n",
"\n",
"using an table of integrals or [wolfram alpha](https://www.wolframalpha.com/input?i=int+cos%5E2%28x%29sin%28x%29+from+0+to+pi).\n",
"\n",
"For a constant flux with respect to optical depth (i.e., LTE), $d\\mathcal{F}_\\nu/d\\tau_\\nu = 0$. Taking the derivative with respect to optical depth for the results in Eqn. {eq}`therm_trans` and using the results of Eqn. {eq}`rad_flux`, we get\n",
"\n",
"```{math}\n",
":label: bright_tau\n",
"0 &= \\frac{dB_\\nu}{d\\tau_\\nu} - \\frac{dJ_\\nu}{d\\tau_\\nu}, \\\\\n",
"\\frac{dB_\\nu}{d\\tau_\\nu} &= - \\frac{3}{4\\pi}\\mathcal{F}_\\nu.\n",
"```\n",
"\n",
"Integrating over frequency yields the total radiative flux, or the **radiative diffusion equation**:\n",
"\n",
"\\begin{align}\n",
"\\mathcal{F}(z) = -\\frac{4\\pi}{3\\rho}\\frac{\\partial T}{\\partial z}\\int_0^\\infty \\frac{1}{\\alpha_\\nu} \\frac{\\partial B_\\nu(T)}{\\partial T}d\\nu,\n",
"\\end{align}\n",
"\n",
"where the integral can be simplified using a frequency-averaged absorption coefficient, such as the **Rosseland mean absorption coefficient** $\\alpha_R$ or\n",
"\n",
"\\begin{align}\n",
"\\frac{1}{\\alpha_R} \\equiv \\frac{\\int_0^\\infty \\frac{1}{\\alpha_\\nu} \\frac{\\partial B_\\nu(T)}{\\partial T}d\\nu }{\\int_0^\\infty \\frac{\\partial B_\\nu(T)}{\\partial T}d\\nu}\n",
"\\end{align}\n",
"\n",
"which is also used for [stellar atmospheres](https://saturnaxis.github.io/ModernAstro/Chapter_9/stellar-atmospheres.html#the-rosseland-mean-opacity). With this simplification, the radiative diffusion equation becomes\n",
"\n",
"\\begin{align}\n",
"\\mathcal{F}(z) &= -\\frac{4\\pi}{3\\rho \\alpha_R}\\frac{\\partial T}{\\partial z} \\int_0^\\infty \\frac{\\partial B_\\nu(T)}{\\partial T}d\\nu, \\\\[5pt]\n",
"&= -\\frac{4\\pi}{3\\rho \\alpha_R}\\frac{\\partial T}{\\partial z} \\frac{\\partial}{\\partial T}\\left( \\frac{\\sigma T^4}{\\pi}\\right), \\\\[5pt]\n",
"&= -\\frac{16\\pi \\sigma T^3}{3\\rho \\alpha_R}\\frac{\\partial T}{\\partial z}.\n",
"\\end{align}\n",
"\n",
"```{note}\n",
"Flux travels upward in an atmosphere if the temperature gradient $dT/dz$ is negative (i.e., the temperature decreases with altitude)\n",
"```\n",
"\n",
"Substituting the Stefan-Boltzmann law (Eqn. {eq}`SB_law`) and converting to the effective temperature produces\n",
"\n",
"\\begin{align}\n",
"\\frac{dT}{dz} = - \\frac{3\\alpha_R \\rho T_e^4}{16T^3},\n",
"\\end{align}\n",
"\n",
"which is the atmospheric temperature profile (or the [radiative temperature gradient](https://saturnaxis.github.io/ModernAstro/Chapter_11/interiors-of-stars.html#the-radiative-temperature-gradient)). If an atmosphere is in hydrostatic (Eqn. {eq}`hydro_eq`), then its temperature-pressure relation is given by Eqn. {eq}`temp_press_relation`.\n",
"\n",
"```{figure-md} two-stream-fig\n",
" \n",
"\n",
"Two stream approximation considering a surface heated by the Sun. Upward radiation $I_\\nu^+$ is emitted from the surface, while downward radiation $I_\\nu^-$ is emitted from the top of the atmosphere at a temperature $T_o$. The temperature $T(\\tau)$ depends on the optical depth $\\tau$ at a given altitude above the surface.\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### Greenhouse Effect Derived\n",
"Consider a single layer atmosphere that is\n",
"\n",
"1. transparent to sunlight,\n",
"2. opaque to longer wavelengths,\n",
"3. emits according to LTE,\n",
"4. does not scatter, and\n",
"5. is gray.\n",
"\n",
"Then it is convenient to use the **two-stream approximation** (Fig. {numref}`{number}`) in monochromatic equilibrium, where the mean intensity $J$ and net flux density $\\mathcal{F}$ are given by\n",
"\n",
"\\begin{align}\n",
"J = \\frac{1}{2}\\left(I^+ + I^- \\right), \\\\[5pt]\n",
"\\mathcal{F} = \\pi \\left( I^+ - I^- \\right).\n",
"\\end{align}\n",
"\n",
"```{note}\n",
"The two stream approximation for the greenhouse effect is similar to the Eddington approximation from stellar atmospheres, which describes two levels within a hot gas in LTE. However, the greenhouse effect will have a discontinuity at the ground because there are two sources of emission rather a single flow across a slab.\n",
"``` \n",
"\n",
"The upward/downward radiation can be written in terms of the flux density \n",
"\n",
"\\begin{align}\n",
"I^+ = I^- + \\frac{\\mathcal{F}}{\\pi}, \\\\\n",
"I^- = I^+ - \\frac{\\mathcal{F}}{\\pi},\n",
"\\end{align}\n",
"\n",
"to get the mean density in terms of the flux density by\n",
"\n",
"\\begin{align}\n",
"J &= \\frac{1}{2}\\left(I^+ + I^- \\right), \\\\\n",
"&= \\frac{1}{2}\\left( 2I^- + \\frac{\\mathcal{F}}{\\pi} \\right), \\\\\n",
"&= I^- + \\frac{\\mathcal{F}}{2\\pi}, \\\\\n",
"&= I^+ - \\frac{\\mathcal{F}}{2\\pi}.\n",
"\\end{align}\n",
"\n",
"Using the radiative transfer equation (Eqn. {eq}`therm_trans`), we can substitute $J$ (and assume radiative equilibrium) to get\n",
"\n",
"\\begin{align}\n",
"\\frac{d\\mathcal{F}}{d\\tau} &= 4\\pi \\left(B - I^+ + \\frac{\\mathcal{F}}{2\\pi} \\right), \\\\\n",
"&= 4\\pi \\left(B - I^+ \\right) + 2\\mathcal{F} = 0, \\\\\n",
"&= 4\\pi \\left(B - I^- \\right) - 2\\mathcal{F} = 0.\n",
"\\end{align}\n",
"\n",
"Through radiative equilibrium, we can write each intensity in terms of the intensity of a blackbody $B(T)$ at a temperature $T$ and the flux density $\\mathcal{F}$ as\n",
"\n",
"\\begin{align}\n",
"I^+ = B + \\frac{\\mathcal{F}}{2\\pi}, \\\\\n",
"I^- = B - \\frac{\\mathcal{F}}{2\\pi}.\n",
"\\end{align}\n",
"\n",
"The boundary condition of the downward intensity at the top of the atmosphere is\n",
"\n",
"\\begin{align}\n",
"I_o^- &= B(T_o) - \\frac{\\mathcal{F}}{2\\pi} = 0, \\\\[5pt]\n",
"B(T_o) &= \\frac{\\mathcal{F}}{2\\pi},\n",
"\\end{align}\n",
"\n",
"because there no downward intensity into the top of the atmosphere. The temperature $T_o$ is usually referred to as the **skin temperature**. There is an upward intensity, which can be solved using the above result from the boundary condition by\n",
"\n",
"\\begin{align}\n",
"I_o^+ &= B(T_o) + \\frac{\\mathcal{F}}{2\\pi}, \\\\\n",
"&= 2B(T_o).\n",
"\\end{align}\n",
"\n",
"Let's consider the boundary condition for a point just above the surface at temperature $T_1$. It has an upward intensity of\n",
"\n",
"\\begin{align}\n",
"I_g^+ = B(T_1) + \\frac{\\mathcal{F}}{2\\pi}.\n",
"\\end{align}\n",
"\n",
"Integrating Eqn. {eq}`bright_tau` produces\n",
"\n",
"\\begin{align}\n",
"B(T_o) - B(\\tau) &= -\\frac{3\\mathcal{F}}{4\\pi}\\tau, \\\\\n",
"B(\\tau) &= B(T_o) + \\frac{3\\mathcal{F}}{4\\pi}\\tau, \\\\\n",
"&= \\frac{\\mathcal{F}}{2\\pi} +\\frac{3\\mathcal{F}}{4\\pi}\\tau, \\\\\n",
"&= \\frac{\\mathcal{F}}{2\\pi}\\left( 1 + \\frac{3}{2}\\tau \\right).\n",
"\\end{align}\n",
"\n",
"Integration over frequency and conversion to temperature via the Stefan-Boltzmann law (Eqn. {eq}`SB_law`) yields \n",
"\n",
"\\begin{align}\n",
"T(\\tau) = T_o \\left(1+ \\frac{3}{2}\\tau \\right)^{1/4}.\n",
"\\end{align}"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Thermal Structure\n",
"Atmospheres are in hydrostatic equilibrium (to first approximation), where the temperature, pressure, and density of the gases are related to one another through the ideal gas law. The barometric law depends on the scale height $H(z)$, which is ${\\sim}10-25\\ {\\rm km}$ for most planets because the ratio $T/(g_{\\rm p} \\mu)$ is similar between the giant and terrestrial planets. Only in tenuous atmospheres (e.g., Mercury, Pluto, and various moons) is the scale height larger.\n",
"\n",
"The thermal structure of a planet's atmosphere $dT/dz$ is primarily governed by the efficiency of energy transport, which depends on the optical depth $\\tau$. Processes that may directly affect (or indirectly) affect the temperature are:\n",
"\n",
"1. The solar radiation intercepted at the top of the atmosphere (TOA). Some of this radiation is absorbed or scattered within the atmosphere. Along with radiative losses and conduction, these processes are the primary factors affecting the temperature profile in the upper part of the atmosphere.\n",
"2. Energy from internal heat sources and re-radiation from the planet's surface (or dust in the atmosphere) modify the temperature profile. In some cases, energy from these sources can dominate the temperature profile.\n",
"3. Chemical reactions in an atmosphere alter its composition, which leads to changes in its opacity and affects thermal structure.\n",
"4. Clouds and/or photochemically produced haze layers scatter incident light and affect the energy balance. Clouds and hazes also increase the atmospheric opacity and change the temperature locally through cloud formation or evaporation (i.e., release or absorption of latent heat).\n",
"5. Volcanoes and geyser activity may modify the atmosphere substantially.\n",
"6. Chemical interactions between the atmosphere and the surface (i.e., crust or ocean).\n",
"7. Biochemical (and anthropogenic) processes influence the Earth's atmospheric composition, opacity, and thermal structure.\n",
"\n",
"The temperature structure of all but the most tenuous atmospheres is qualitatively similar (see Fig. {numref}`{number}` for Earth). Moving upwards from the surface (or from the deep atmosphere for the giant planets), the temperature decreases with altitude and is called the **troposphere**. Condensable gases form clouds in the troposphere. The atmospheric temperature typically reaches a minimum near a pressure level of ${\\sim}0.1\\ {\\rm bar}$ at the **tropopause**.\n",
"\n",
"Above the tropopause, the temperature increases with altitude and is called the **stratosphere**. At higher altitudes, the **mesosphere** is characterized by temperature decreasing with altitude. The **stratopause** forms the boundary between the stratosphere and the mesosphere. Or Earth, Titan, and perhaps Saturn, the mesopause forms a second temperature minimum.\n",
"\n",
"Above the mesopause, the temperature increases with altitude in the **thermosphere**. The outermost part of the atmosphere is the **exosphere**. Collisions between gas molecules in the exosphere are rare, and the rapidly moving molecules can escape into interplanetary space. The **exobase** (at the bottom of the exosphere or ${\\sim}500 {\\rm km}$ above Earth's surface) is the altitude where the mean free path length $\\ell$ exceeds the atmospheric scale height $H$ (i.e., $\\ell > H$).\n",
"\n",
"```{glue:figure} Earth_profile_fig\n",
":figwidth: 600px\n",
":name: \"Earth_profile\"\n",
"\n",
"Temperature profile with increasing altitude $z$ from Earth's surface using the 1976 Committee on Extension to the Standard Atmosphere (COESA76).\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"data": {
"application/papermill.record/image/png": "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\n",
"application/papermill.record/text/plain": ""
},
"metadata": {
"scrapbook": {
"mime_prefix": "application/papermill.record/",
"name": "Earth_profile_fig"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Using example from poliastro\n",
"# https://docs.poliastro.space/en/stable/examples/Atmospheric%20models.html\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import rcParams\n",
"from astropy import units as u\n",
"from poliastro.earth.atmosphere import COESA76\n",
"from myst_nb import glue\n",
"\n",
"rcParams.update({'font.size': 12})\n",
"rcParams.update({'mathtext.fontset': 'cm'})\n",
"\n",
"# We build the atmospheric instances\n",
"coesa76 = COESA76()\n",
"\n",
"# Create the figure\n",
"fig = plt.figure(figsize=(6, 8), dpi=150)\n",
"ax = fig.add_subplot(111)\n",
"\n",
"# Solve atmospheric temperature for each of the models\n",
"z_span = np.arange(0, 280, 1)\n",
"T_span = np.array([])\n",
"for z in z_span:\n",
" T = coesa76.temperature(z*u.km)\n",
" T_span = np.append(T_span, T.value)\n",
"\n",
"# Temperature plot\n",
"ax.plot(T_span, z_span,'k-',lw=2)\n",
"ax.set_xlim(0, 1200)\n",
"ax.set_ylim(0, 280)\n",
"ax.set_xlabel(\"Temperature $T\\ ({\\\\rm K})$\")\n",
"ax.set_ylabel(\"Altitude $\\\\rm z\\ (km)$\")\n",
"ax.set_yticks(np.arange(0,280,20))\n",
"\n",
"# Add some information on the plot\n",
"ax.annotate(\"Tropopause\", xy=(coesa76.Tb_levels[1].value, coesa76.zb_levels[1].value), xytext=(coesa76.Tb_levels[1].value + 10, coesa76.zb_levels[1].value + 5))\n",
"ax.annotate(\"Stratopause\", xy=(coesa76.Tb_levels[4].value, coesa76.zb_levels[4].value), xytext=(coesa76.Tb_levels[4].value + 10, coesa76.zb_levels[4].value + 5))\n",
"ax.annotate(\"Mesopause\", xy=(coesa76.Tb_levels[7].value, coesa76.zb_levels[7].value), xytext=(coesa76.Tb_levels[7].value + 10, coesa76.zb_levels[7].value + 5))\n",
"\n",
"layer_names = {\"TROPOSPHERE\": 5, \"STRATOSPHERE\": 30,\n",
" \"MESOSPHERE\": 75, \"THERMOSPHERE\": 120}\n",
"for name in layer_names:\n",
" ax.annotate(name, xy=(500, layer_names[name]), xytext=(500, layer_names[name]))\n",
"\n",
"ax.minorticks_on()\n",
"ax.tick_params(which='major', axis='both',\n",
" direction='out', length=6.0, width=3.0)\n",
"ax.tick_params(which='minor', axis='both',\n",
" direction='out', length=3.0, width=2.0)\n",
"\n",
"glue(\"Earth_profile_fig\", fig, display=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Sources and Transport of Energy\n",
"#### Heat Sources\n",
"Solar radiation heats planetary atmospheres through absorption of photons, where most of the Sun's energy output is in the visible range because the solar $5777\\ {\\rm K}$ blackbody curve peaks near $500\\ {\\rm nm}$. These photons heat a planet's surface (i.e., terrestrial planets) or layers in the atmosphere where the optical depth is moderately large, which is typically near the cloud layers.\n",
"\n",
"Re-radiation of sunlight by a planet's surface or atmospheric molecules, dust particles, or cloud droplets occurs primarily at IR wavelengths. This source of heat exists within or below the atmosphere, where other internal heat sources may also heat the atmosphere from below (e.g., giant planets).\n",
"\n",
"solar heating of the upper atmosphere is very efficient at extreme ultraviolet (EUV) wavelengths ($10-100\\ {\\rm nm}$) even though the number of photons is very low. Typical EUV photons have enough energy ($10-100\\ {\\rm eV}$) to ionize several of the atmospheric constituents. The excess energy from ionization is carried off by electrons freed in the process.\n",
"\n",
"An upper atmosphere can be heated substantially by **charged particle precipitation**, which are charged particles that enter the atmosphere from above from the solar wind or a planet's magnetosphere. On planets with intrinsic magnetic fields, charged particle precipitation is confined to high magnetic latitudes in the **auroral zones**.\n",
"\n",
"#### Energy Transport\n",
"\n",
"There are three distinct mechanisms to transport energy: *conduction*, *convection*, and *radiation*.\n",
"\n",
"Conduction is important in the very upper part of the thermosphere, in the exosphere, and very near the surface (if one exists). Collisions tend to equalize the temperature distribution, which results in a nearly isothermal profile (i.e., constant temperature with altitude) in the exosphere (see Fig. {numref}`{number}`). The atmospheric temperature just above a surface tends to nearly equal the surface (ground) temperature.\n",
"\n",
"Convection is important in the troposphere and the temperature profile is close to an adiabat (i.e., linear decrease in temperature with height). The formation of clouds reduces the temperature gradient through the latent heat of condensation. Convection effectively places an upper bound to the rate as which the temperature can decrease with height.\n",
"\n",
"Radiation is important when the absorption and re-emission of photons (i.e., radiation) is the most efficient, where the thermal profile is governed by the equations of radiative energy transport.\n",
"\n",
"Which process is most efficient depends on the temperature gradient $dT/dz$. In the tenuous upper parts of the thermosphere, energy transport is dominated by conduction. At deeper layers, down to a pressure of ${\\sim}0.5\\ {\\rm bar}$, an atmosphere is usually in radiative equilibrium and convection dominates below this pressure. On Mars, the combination of conduction (collisions) near/with the surface and radiation from the surface leads to a superadiabatic layer (i.e., ambient lapse rate $>$ adiabatic) just above ($\\lesssim 100\\ {\\rm m}$) the surface during the day and an inversion layer (i.e., linear increase in temperature with height) at night.\n",
"\n",
"\n",
"```{figure-md} thermal-profiles-fig\n",
" \n",
"\n",
"Schematic of thermal profiles: isothermal (vertical black), inversion (blue solid), adiabatic (red solid), superadiabatic (red dashed), and subadiabatic (red dotted).\n",
"```\n",
"### Observed Thermal Profiles\n",
"The observed effective temperatures of Jupiter, Saturn, and Neptune are substantially larger than the equilibrium values, which implies the presence of internal heat sources. The observed surface temperatures of Venus, Earth, and Mars exceed the equilibrium valued because of a greenhouse effect.\n",
"\n",
"The thermal structure in an atmosphere can be measured remotely via observations at different wavelengths, which probe different depths in an atmosphere because opacity is a strong function of wavelength. Although the altitudes probed differ between planets, we can make a few general statements:\n",
"\n",
"- At optical and IR wavelengths, the radiative part of an optically thick atmosphere is probed.\n",
"- Convective regions at $P\\gtrsim 0.5-1\\ {\\rm bar}$ can be investigated at IR and radio wavelengths.\n",
"- The tenuous upper levels ($P\\lesssim 10\\ {\\rm \\mu bar}$) are typically probed directly at UV wavelengths, or via stellar occultations at UV, visible, and IR wavelengths.\n",
"\n",
"The profiles of terrestrial planets and Titan have been derived from *in situ* measurements by probes and/or landers. For the giant planets, the temperature-pressure profiles were derived via inversion of IR spectra combined with UV and radio occultation profiles from *Voyager* and other spacecraft. \n",
"\n",
"At deeper levels in the atmosphere ($P{\\sim} 1-5\\ {\\rm bar}$) where no direct information on the temperature structure can be obtained via remote observations, the temperature is usually assumed to follow the [adiabatic lapse rate](https://en.wikipedia.org/wiki/Lapse_rate). *In situ* observations by the Galileo probe showed the temperature lapse rate in Jupiter's atmosphere is close to a dry adiabat.\n",
"\n",
"\n",
"`````{grid}\n",
":gutter: 3\n",
"\n",
"````{grid-item-card}\n",
"```{figure-md} Venus-profile-fig\n",
" \n",
"\n",
"The layers of the massive atmosphere of Venus shown here are based on data from the Pioneer and Venera entry probes. Image Credit: OpenStax:[Astronomy](https://openstax.org/books/astronomy-2e/pages/10-3-the-massive-atmosphere-of-venus)\n",
"```\n",
"````\n",
"````{grid-item-card}\n",
"```{figure-md} Titan-profile-fig\n",
" \n",
"\n",
"A graph detailing temperature, pressure, and other aspects of Titan's climate. Image credit: Wikipedia:[Climate of Titan](https://en.wikipedia.org/wiki/Climate_of_Titan)\n",
"```\n",
"````\n",
"`````\n",
"\n",
"#### Earth\n",
"The average temperature just above Earth's surface is $288 {\\rm K}$, while the average pressure at sea level is $1.013\\ {\\rm bar}$. This temperature is $33\\ {\\rm K}$ above the equilibrium value, which can be directly attributed to the greenhouse effect due to the presence of water vapor, carbon dioxide, ozone $(\\rm O_3)$, methane, and nitrous oxide $(\\rm N_2O)$.\n",
"\n",
"Earth's troposphere extends upward to ${\\sim}20\\ {\\rm km}$ at the equator (see Fig. {numref}`{number}`) and to ${\\sim}10\\ {\\rm km}$ at the poles. The temperature in the stratosphere increases with altitude as a result of the presence (and formation) of ozone, which absorbs both at UV and IR wavelengths. The mesosphere is characteristic of a decrease in temperature with increasing altitude at ${\\sim}50\\ {\\rm km}$ due to a decreased $(\\rm O_3)$ production and increased $\\rm CO_2$ cooling to space. A second temperature minimum occurs at ${\\sim}80-90\\ {\\rm km}$. The temperature structure between Earth's stratosphere and mesosphere is unusual, because of the second temperature minimum. Other massive atmospheres show a single temperature minimum, with the exception of Titan (and perhaps Saturn). \n",
"\n",
"Above the mesosphere lies the thermosphere. in Earth's thermosphere, the temperature increases with altitude primarily because there are too few atoms/molecules to cool the atmosphere efficiently through emission in the IR. Although, there is a smaller contribution to the heating due to the absorption of UV (through the destruction of ozone). Most the IR emission originates from $\\rm O$ and $\\rm NO$, which radiate less efficiently than $\\rm CO_2$. At the base of the thermosphere, there is enough $\\rm CO_2$ gas to cool the atmosphere. The upper thermosphere heats up to $1200\\ {\\rm K}$ or more (during the day) and cools to ${\\sim}800\\ {\\rm K}$ at night.\n",
"\n",
"#### Venus\n",
"Venus' troposphere extends from the surface to the visible cloud layers at ${\\sim}65\\ {\\rm km}$ (see Fig. {numref}`{number}`). The surface temperature is nearly uniform at $737\\ {\\rm K}$, while the atmospheric surface pressure is $92\\ {\\rm bar}$. Venus has a very strong greenhouse effect (in the current epoch) primarily due to its massive $\\rm CO_2$ atmosphere. Venus' mesosphere extends from the top of the cloud layers up to ${\\sim}90\\ {\\rm km}$. In its thermosphere, there is a distinct difference between the day and night sides. The day-side temperature reaches $300\\ {\\rm K}$ at $170\\ {\\rm km}$, while the night-side is much colder at $100-130\\ {\\rm K}$ and is called the **cryosphere**.\n",
"\n",
"#### Mars\n",
"The average surface pressure on Mars is $6\\ {\\rm mbar}$, and the mean temperature is ${\\sim}215\\ {\\rm K}$. At Mars' mid-latitudes, the surface temperature varies from ${\\sim}200\\ {\\rm K}$ (at night) to ${\\sim}300\\ {\\rm K}$ during the day. At the winter pole, the temperature plummets to ${\\sim}130\\ {\\rm K}$ and the summer pole may reach ${\\sim}190\\ {\\rm K}$. Mars and Venus lack a stratosphere. Mars' thermosphere has a temperature of ${\\sim}200\\ {\\rm K}$ at altitudes above ${\\sim}200\\ {\\rm km}$. The low temperature can be explained b the efficiency of $\\rm CO_2$ as a cooling agent.\n",
"\n",
"#### Titan\n",
"The thermal structure in Titan's atmosphere has been measured by the [Huygens probe](https://en.wikipedia.org/wiki/Huygens_(spacecraft)) (see Fig. {numref}`{number}`). At the surface the temperature and pressure were measured at $93.65\\ {\\rm K}$ and $1.467\\ {\\rm bar}$, respectively. This temperature results from the competing greenhouse and anti-greenhouse effects.\n",
"\n",
"#### Giant Planets\n",
"Jupiter, Saturn, and Neptune emit roughly twice as much energy as they receive from the Sun. The excess heat escaping from these planets is attributed to a slow cooling of the planets since their formation, along with energy released by $\\rm He$ differentiation. For Uranus, the upper limit to excess heat is 14% of the incoming solar radiation. It is not known why Uranus' internal heat sources is so different from the other three giant planets."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Atmospheric Composition\n",
"The composition of a planetary atmosphere can be measured via: (1) remote sensing techniques or (2) *in situ* using mass spectrometers on a probe or lander. In a mass spectrometer, the atomic weight and number density of the gas molecules are measured. Most molecules are not uniquely specified by their mass, and isotopic variations further complicate the situation using spacecraft. Atmospheric composition is deduced from a combination of both techniques, along with theories regarding the most probable atoms or molecules to fit the mass spectrometer data.\n",
"\n",
"*In situ* measurements have been made in the atmospheres of Venus, Mars, Jupiter, the Moon, Titan, Mercury, and Enceladus. These data contain a wealth of information on atmospheric composition because trace elements can be measured with great accuracy as well as atoms and molecules that do not exhibit observable spectral features (e.g., nitrogen and the nobel gases). \n",
"\n",
"- A drawback of such measurements for a probe is they are limited in both space and time, where they are performed only along the path of the probe once. \n",
"- Landers can measure they composition for a longer time, although they are limited to a single location.\n",
"- Rovers can measure the composition over longer timescales and over a range of positions, but the rovers move very slowly.\n",
"\n",
"Thus, *in situ* data may not be representative of the atmosphere as a whole at all times. Even though, such data are extremely valuable.\n",
"\n",
"Spectral line measurements are performed in (1) reflected sunlight or (2) from a body's intrinsic thermal emission. The shape of a spectral line contains information on the abundance of the gas, as well as the temperature and pressure of the environment. The strongest spectral lines can be used to detect small amounts of trace gases (e.g., the giant planets) and the composition of extremely tenuous atmospheres (e.g., Mercury). The line profile may contain information on the altitude distribution of the gas (through its shape) and the wind velocity field (through Doppler shifts). The **abundances** can be specified by the **volume mixing ratios**, which are the fractional number density of particles (or mole fraction) of a given species per unit volume.\n",
"\n",
"- Earth's atmosphere consists primarily of $\\rm N_2$ (78%) and $\\rm O_2$ (21%). The most abundant trace gases are $\\rm H_2O,\\ Ar,$ and $\\rm CO_2$, but many more have been identified.\n",
"- The atmospheres of Mars and Venus are dominated by $\\rm CO_2$, roughly $95-97\\%$ on each planet. Nitrogen $(\\rm N_2)$ contributes approximately 3% by volume, while most abundant trace gases are $\\rm Ar,\\ CO,\\ H_2O,$ and $\\rm O_2$. On Venus, we also find a small amount of $\\rm SO_2$, where ozone has been identified on Mars. The differences in atmospheric composition with the Earth must result from differences in their **formation and evolutionary processes**, which include differences in temperature, volcanic and tectonic activity, and biogenic evolution.\n",
"- Titan's atmosphere is dominate by $\\rm N_2$ gas, similar to Earth's atmosphere. The second major species is *methane* gas. The *Huygens* probe measured composition while descending through Titan's atmosphere.\n",
"\n",
"If the giant planets had formed via a gravitational collapse like the Sun, then these planets are expected to have a composition similar to the solar nebula. They are composed primarily of molecular hydrogen $\\rm H_2$ (${\\sim}80-90\\%$ by volume) and helium (${\\sim}10-15\\%$ by volume). However, helium appears to be depleted on Jupiter and Saturn, where carbon (in the form of methane gas) is enhanced compared with the solar nebula when accounting for the heliocentric distance. Accurate measurements of the abundances of these species would help refine models of giant planet formation within the Solar System. \n",
"\n",
"### Sample Spectra\n",
"Figure {numref}`{number}` shows coarse (low-resolution) thermal infrared spectra of Earth, Venus, and Mars between $5-50\\ {\\rm \\mu m}$. Each spectrum displays a broad $\\rm CO_2$ absorption band at ${\\sim}15\\ {\\rm \\mu m}$. The width of the absorption profile is similar for the three planets despite vas differences in pressure because a molecular absorption band consists of numerous transitions.\n",
"\n",
"```{figure-md} TP-spectra-fig\n",
" \n",
"\n",
"Thermal infrared spectra of Venus, Earth, and Mars. The 9.6-micron band of ozone is a potential bioindicator. (From R. Hanel, NASA Goddard Space Flight Center.) via [Jim Kasting](https://personal.ems.psu.edu/~jfk4/PersonalPage/ResInt2.htm)\n",
"```\n",
"\n",
"Under clear conditions (i.e., when no other absorbers are present), the surfaces of Earth and Mars are probed in the far wings (continuum) of the band. For Venus, the cloud deck rather than the surface is probed. Higher altitudes are probed closer to the center of the band. Because the profile is seen in absorption, the temperature must decrease with altitude on all three planets and $\\rm CO_2$ must be present in their tropospheres. Earth's spectrum has a small emission spike at the center of the $\\rm CO_2$ absorption profile, which indicates some $\\rm CO_2$ exists in the stratosphere. \n",
"\n",
"Other prominent feature in the terrestrial spectrum are ozone at $9.6\\ {\\rm \\mu m}$ and methane at $7.66\\ {\\rm \\mu m}$. \n",
"\n",
"- The emission spike at the center of the ozone profile. \n",
"- Numerous water lines are visible in the spectrum, which make the Earth's atmosphere almost opaque in some spectral regions. Water lines are also visible in the spectra of Mars and Venus. \n",
"- The $\\rm CO_2$ band prevents transmission near $15\\ {\\rm \\mu m}$.\n",
"\n",
"Because the emission and absorption lines in planetary atmospheres depend on the local temperature profile, spectra taken at different locations on a planet may appear very different eve if the concentrations of the absorbing gases are similar. The $\\rm CO_2$ absorption ban on Mars is seen in emission above the martian poles, which indicates that the atmospheric temperature must be higher than Mars' surface temperature at the poles. Since the poles are covered by $\\rm CO_2$ ice, such observations can be readily understood.\n",
"\n",
"Figure {numref}`{number}` shows a thermal spectrum of Titan, which reveals numerous [hydrocarbons](https://en.wikipedia.org/wiki/Hydrocarbon) and [nitriles](https://en.wikipedia.org/wiki/Nitrile) in emission. These compounds must form in Titan's stratosphere, where the temperature rises with altitude. \n",
"\n",
"```{figure-md} Titan-spectra-fig\n",
" \n",
"\n",
"Thermal infrared spectrum of Titan, obtained with *Cassini/CIRS* showing the various neutral organic molecules observed in Titan’s stratosphere [(Coustenis & Hirtzig 2009)](https://iopscience.iop.org/article/10.1088/1674-4527/9/3/001).\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clouds\n",
"Earth's atmosphere contains a small $({\\sim}1\\%)$ and highly variable amount of water vapor. If the abundance of water vapor (or any condensable species) is at its maximum vapor partial pressure, then the air is **saturated**. Under equilibrium conditions, air cannot contain more water vapor than indicated by its **saturation vapor pressure curve** (Fig. {numref}`{number}`a). The saturation pressure of $\\rm H_2O$ is given by the [Clausius-Clapeyron equation of state](https://en.wikipedia.org/wiki/Clausius%E2%80%93Clapeyron_relation):\n",
"\n",
"```{math}\n",
":label: CCEOS\n",
"P = C_{\\rm L}e^{-L_{\\rm v}/(R_{\\rm w}T)},\n",
"```\n",
"\n",
"which depends on a constant $C_{\\rm L}$, the [latent heat of vaporization](https://en.wikipedia.org/wiki/Latent_heat) of water $L_{\\rm v}$, the [gas constant for water vapor](https://en.wikipedia.org/wiki/Water_vapor) $R_{\\rm v}$, and the temperature $T$ (in $\\rm K$). The constant is determined by normalizing relative to the pressure at the triple point of water (${\\sim}6.11\\ {\\rm mbar}$).\n",
"\n",
"```{glue:figure} vapor_pressure_fig\n",
":figwidth: 600px\n",
":name: \"vapor_pressure\"\n",
"\n",
"(a) Saturation vapor pressure curve for water, where the temperature $T$ (in $^\\circ$C) primarily determines the partial pressure $P$. (b) Idealized sketch of the temperature structure in Earth's atmosphere, where the air follows a dry adiabat $({\\sim}9.8\\ {\\rm ^\\circ C/km})$ in the lower troposphere. A wet air parcel starts to condense (as it rises) once the water vapor crosses the saturated vapor curve (at point $D$). The temperature profile in the atmosphere follows the wet adiabat $({\\sim}4-5\\ {\\rm ^\\circ C/km})$ between $D$ and $T_{\\rm tr}$, where there is a change in slope when the ice line is crossed.\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"data": {
"application/papermill.record/image/png": "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\n",
"application/papermill.record/text/plain": ""
},
"metadata": {
"scrapbook": {
"mime_prefix": "application/papermill.record/",
"name": "vapor_pressure_fig"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import rcParams\n",
"from scipy.constants import R\n",
"from myst_nb import glue\n",
"\n",
"rcParams.update({'font.size': 12})\n",
"rcParams.update({'mathtext.fontset': 'cm'})\n",
"\n",
"def Clausius_Clapeyron_EOS(T):\n",
" #Calculate the saturation vapor pressure as a function of temperature\n",
" #https://www.e-education.psu.edu/meteo300/node/584\n",
" #T = temperature (in Celsius)\n",
" l_v = 2.501e6 #latent heat of vaporization in J/kg\n",
" l_s = 2.834e6 #enthalpy of sublimation\n",
" sub_zero = np.where(T<0)[0]\n",
" R_v = 461.5 #gas constant for water vapor in J/kg/K\n",
" p = 6.1094*np.exp(l_v/(R_v*273.16))*np.exp(-l_v/(R_v*(T+273.16))) #mbar for water\n",
" p[sub_zero] = 6.1094*np.exp(l_s/(R_v*273.16))*np.exp(-l_s/(R_v*(T[sub_zero]+273.16)))\n",
" return p\n",
"\n",
"fs = 'medium'\n",
"lw = 1.25\n",
"\n",
"fig = plt.figure(figsize=(4,8),dpi=150)\n",
"ax1 = fig.add_subplot(211)\n",
"ax2 = fig.add_subplot(212)\n",
"\n",
"T_rng = np.arange(-40,20,0.1) #temperature range in Celsius\n",
"vapor_press = Clausius_Clapeyron_EOS(T_rng)\n",
"ax1.plot(T_rng,vapor_press,'k-',lw=lw)\n",
"ax1.axvline(-0.5,vapor_press[397]/16,1,color='k',lw=lw)\n",
"ax1.text(-30,10,'solid',fontsize=fs)\n",
"ax1.text(2,14,'liquid',fontsize='small')\n",
"ax1.text(13,14,'gas',fontsize=fs)\n",
"x_marks = [-10,3.5,7,15]\n",
"y_marks = [10,10,10,10]\n",
"mark_lbl = ['C','B','D','A']\n",
"ax1.plot(x_marks,y_marks,'rx',ms=5)\n",
"for i in range(0,4):\n",
" if i == 2:\n",
" x_marks[i] += 2.25\n",
" ax1.text(x_marks[i],10.5,mark_lbl[i],fontsize=fs,horizontalalignment='center',color='r')\n",
"ax1.plot(3,7.6,'bx',ms=5)\n",
"ax1.text(4,7.5,'D$^\\\\prime$',fontsize=fs,color='b')\n",
"ax1.text(1.5,5.8,'$T_{\\\\rm tr}$',fontsize=fs)\n",
"ax1.text(-35,3.,'saturation vapor \\n pressure curve')\n",
"\n",
"ax1.set_ylim(0,16)\n",
"ax1.set_xlim(-40,20)\n",
"ax1.set_ylabel(\"$\\\\rm P$ (mbar)\",fontsize=fs)\n",
"ax1.set_xlabel(\"$\\\\rm T\\ (^\\circ C)$\",fontsize=fs)\n",
"ax1.text(0.02,0.925,'a',transform=ax1.transAxes)\n",
"\n",
"T1_rng = np.arange(4.25,15,0.1)\n",
"T2_rng = np.arange(0,4.25,0.1)\n",
"T3_rng = np.arange(-7,0,0.1)\n",
"ax2.plot(T1_rng,(-1./10)*T1_rng+1.485,'b-',lw=lw)\n",
"ax2.plot(T2_rng,(-1./5)*T2_rng+1.9,'c-',lw=lw)\n",
"ax2.plot(T3_rng,(-1./3.5)*T3_rng+1.9,'m-',lw=lw)\n",
"ax2.plot(4.25,1.06,'r.',ms=5)\n",
"ax2.text(5,1.1,'D',color='r',fontsize=fs,horizontalalignment='center')\n",
"ax2.plot(0,1.9,'r.',ms=5)\n",
"ax2.text(1,2,'$T_{\\\\rm tr}$',fontsize=fs,horizontalalignment='center')\n",
"\n",
"ax2.axhline(1.9,0.6,1,color='k',lw=2)\n",
"ax2.axhline(1.06,0.6,1,color='k',lw=2)\n",
"ax2.text(16,0.1,'A',color='r',fontsize=fs,horizontalalignment='center')\n",
"ax2.text(18,2,'ice',fontsize=fs)\n",
"ax2.text(18,1.2,'liquid',fontsize=fs)\n",
"ax2.text(0.02,0.925,'b',transform=ax2.transAxes)\n",
"\n",
"ax2.set_ylim(0,3.5)\n",
"ax2.set_xlim(-10,25)\n",
"ax2.set_ylabel(\"Altitude (km)\",fontsize=fs)\n",
"ax2.set_xlabel(\"$\\\\rm T\\ (^\\circ C)$\",fontsize=fs)\n",
"\n",
"glue(\"vapor_pressure_fig\", fig, display=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Water at a partial pressure of ${\\sim}10\\ {\\rm mbar}$ in a parcel of air at $10\\ {\\rm ^\\circ C}$ (e.g., point $A$ in Fig. {numref}`{number}`a) is all in the form pof vapor. Liquid water is present in parcels at ${\\sim}0-5\\ {\\rm ^\\circ C}$ (e.g., at point $B$ in Fig. {numref}`{number}`a), and water ice forms at point $C$ (in Fig. {numref}`{number}`a). The solid lines indicate the saturated vapor curves for liquid and ice, where evaporation is balanced by condensation along these lines. **Sublimation** occurs if ice transforms directly into a gas (e.g., $\\lesssim 6\\ {\\rm mbar}$). The triple point $T_{\\rm tr}$ indicates where ice, liquid, and vapor coexist.\n",
"\n",
"Consider a parcel of air at point $A$, with a vapor pressure of $10\\ {\\rm mbar}$ and a temperature of $15\\ {\\rm ^\\circ C}$. If the parcel is cooled, condensation starts when the solid line is first reached (moving leftward) at point $D$. Upon further cooling, the partial vapor pressure decreases along the curve (from $D$ to $T_{\\rm tr}$). At $3\\ {\\rm ^\\circ C}$ (point $D^\\prime$), the water vapor pressure is $7.6\\ {\\rm mbar}$, where further chilling to $-10\\ {\\rm ^\\circ C}$ results in the formation of ice upon crossing the second solid (vertical) line. The vapor pressure above the ices is $2.6\\ {\\rm mbar}$ at $-10\\ {\\rm ^\\circ C}$.\n",
"\n",
"Figure {numref}`{number}`b illustrates an idealized temperature structure in the Earth's troposphere, where the temperature in the lower troposphere follows a dry adiabat. The labels $A$, $D$, and $T_{\\rm tr}$ correspond to roughly the same points as in Fig. {numref}`{number}`a. A moist parcel of iar rising upward in the Earth's troposphere cools [adiabatically](https://en.wikipedia.org/wiki/Adiabatic_process) as it rises from $A$ to $D$. At point $D$, the air parcel is saturated, where liquid water droplets condense out. The condensation process releases heat (i.e., **latent heat of condensation**). This decreases the atmospheric lapse rate (i.e., slope or change in temperature with altitude). At $T_{\\rm tr}$, the atmospheric temperature is $0\\ {\\rm ^\\circ C}$ ($273.15\\ {\\rm K}$), and water-ice forms, which reduces the lapse rate even more because the latent heat of fusion is added to that of condensation.\n",
"\n",
"The numerous water droplets and ice crystals that form this way make up **clouds**. Clouds on other planets are composed of various condensable gases, where we find $\\rm NH_3$, $\\rm H_2S$, and $\\rm CH_4$ clouds on the giant planets and $\\rm CO_2$ clouds on Mars, in addition to $\\rm H_2O$. Clouds on Venus are composed of $\\rm H_2SO_4$ droplets. \n",
"\n",
"Clouds affect the surface temperature and atmospheric structure by changing the radiative energy balance. Clouds are highly reflective, where they reduce the incoming sunlight and cool the surface. Clouds can also block the outgoing IR radiation, which increases the greenhouse effect. The thermal structure of an atmosphere is influenced by cloud formation through changes to energy balance and the release of latent heat of condensation.\n",
"\n",
"To account for the effect of clouds on a planet's climate (and habitability), a model needs to include (estimate) the cloud coverage, particle sizes, cloud altitudes, and even more parameters. This if very difficult, which explains why evolutionary models of a planet's climate have substantial uncertainties.\n",
"\n",
"**Relative humidity** is the ratio of the partial pressure of the vapor to that in saturated air. The relative humidity in terrestrial clouds is usually $100\\% \\pm 2\\%$. The humidity can be as low as $70\\%$ at the edge of a cloud caused by turbulent mixing or [entrainment](https://en.wikipedia.org/wiki/Entrainment_(meteorology)) of drier air. In the interior layers, the humidity can be as high as $107\\%$. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Meteorology\n",
"Particular weather patterns that vary with geographic location are associated with seasons on Earth. Some locales can experience long periods of dry sunny weather, while at other times there can be long cold spells, periods of heavy rain, huge thunderstorms, blizzards, hurricanes, or tornadoes. The basic motions of air caused by pressure gradients (induced by solar heating) and the rotation of a planetary body affect some weather patterns.\n",
"\n",
"### Coriolis Effect\n",
"Winds are induced by atmospheric pressure gradients, where a high pressure region flows into an area of low pressure. Due to planetary rotation, the winds cannot blow in a straight line and instead, follow a curved path. Winds on Earth (or any other prograde rotating planet) are deflected to right on the northern hemisphere and to the left on the southern (and vice versa for retrograde rotators), which is called the **Coriolis effect** caused by a 'fictitious force' that causes the wind to curve called the [Coriolis force](https://en.wikipedia.org/wiki/Coriolis_force).\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"
\n",
"\n",
"The Coriolis effect follows from the conservation of *angular* momentum about the rotation axis. A parcel of air at a latitude $\\theta$ has an angular momentum per unit mass given by\n",
"\n",
"\\begin{align}\n",
"L = \\left(\\omega_{\\rm rot}R\\cos\\theta + u \\right)R\\cos\\theta,\n",
"\\end{align}\n",
"\n",
"which depends on the planet's radius $R$ and the $x$-component of the wind velocity $u$. \n",
"\n",
"If an air parcel initially at reset relative to the planet moves poleward while conserving angular momentum, then $u$ must grow in the direction of the planet's rotation to compensate for the decrease in $\\cos \\theta$. A planet's rotation deflects the wind perpendicular to it original motion. The direction of the wind is changed, but no work is done (since the acceleration is always perpendicular to the wind direction) and the wind speed is not altered.\n",
"\n",
"### Winds Forced by Solar Heating\n",
"Differential solar heating induces pressure gradients in the atmosphere, which trigger winds. Hadley circulation, eddies and vortices, thermal tidal winds, and condensation flows are some examples of wind flows that are triggered directly by solar heating.\n",
"\n",
"#### Hadley Circulation\n",
"If a planet's rotation axis is approximately perpendicular to its orbital planet (i.e., its obliquity is approximately 0 degrees), then the planet's equator receives more solar energy (at the surface) than do other latitudes. Hot air near the equator rises and flows towards regions with a lower pressure (i.e., poleward). The air then cools, subsides and returns bact to the equator at low altitudes, where this motion is called **Hadley cell circulation**.\n",
"\n",
"```{figure-md} atmos-cells-fig\n",
" \n",
"\n",
"Atmospheric circulation diagram, showing the Hadley cell, the Ferrel cell, the Polar cell, and the various upwelling and subsidence zones between them. Image Credit: Wikipedia:[atmospheric circulation](https://en.wikipedia.org/wiki/Atmospheric_circulation).\n",
"```\n",
"\n",
"For a slowly rotating (or nonrotating) planet like Venus, there is one Hadley cell per hemisphere. Rapidly rotating planets have [meridional winds](https://en.wikipedia.org/wiki/Zonal_and_meridional_flow) that are deflected, and the circulation pattern breaks up.\n",
"\n",
"Earth has three mean-meridional overturning cells per hemisphere:\n",
"\n",
"- The cell closest to the equator is called the Hadley cell. \n",
"- The middle cell (or **Ferrel cell**) in each hemisphere circulates in a thermodynamically indirect sense, where the air rises at the cold end and sinks at the warm end of the pattern.\n",
"- The third cell closest to the poles is called the **polar cell**.\n",
"\n",
"The giant planets rotate very rapidly, where latitudinal temperature gradients lead to a large number of zonal winds. It the planet's rotation axis is not normal to its orbital plane, the Hadley cell circulation is displaced from the equator, and weather patterns can vary with season. A planet with a large obliquity on an eccentric orbit (e.g., Mars) may have large orbit-averaged differences between the two polar regions. Topology and other surface properties also affect the atmospheric circulation.\n",
"\n",
"- The Hadley cells on Earth cause the well-known **easterly** (from the east) trade winds in the tropics because the return Hadley cell flow near the surface is deflected to the west by the Coriolis force.\n",
"- One might expect that **westerlies** occur at mid-latitudes on the low-altitude return flow in the Ferrel cell, however the situation is more complex in reality.\n",
"\n",
"On giant planets, the large gradient in the Coriolis force with latitude leads to a large number of zonal winds, where the winds flow along lines of constant pressure (i.e., **isobars**). The winds continue to blow if the pressure gradient and the Coriolis force just balance each other, which is known as **geostrophic balance**.\n",
"\n",
"```{figure-md} isobars-wind-fig\n",
" \n",
"\n",
"Schematic of geostrophic flow. The pressure gradient force (PGF) acts from high to low pressure. The Coriolis force is directed in the direction opposite to the PGF. The resulting Geostrophic flow is a balance between the PGF and the Coriolis force. Image Credit: Wikipedia:[geostrophic current](https://en.wikipedia.org/wiki/Geostrophic_current).\n",
"```\n",
"\n",
"It is possible that the centrifugal force of zonal winds (directed outward from the planetary surface) may balance the force induced by a meridional pressure gradient. This is seen on Venus, where the zonal winds are very fast and is known as **cyclostrophic balance**.\n",
"\n",
"#### Eddies and Vortices\n",
"Local topography on a terrestrial planet may induce stationary [eddies](https://en.wikipedia.org/wiki/Eddy_(fluid_dynamics)), which ar storms that do not propagate in an atmosphere. Stationary eddies are seen over mountains on Earth (and Mars) and on Earth at the interface between oceans and continents where large temperature differences exist.\n",
"\n",
"Eddies often form in transition layers between two flows. The most common type of eddy are called **baroclinic eddies**, which form in an atmosphere with geostrophic flows and where the density varies along isobaric surfaces (i.e., constant pressure). Only prograde (rotating in the direction of the flow) baroclinic eddies survive. \n",
"\n",
"```{figure-md} isobars-flow-fig\n",
" \n",
"\n",
"Isobars and wind flows around (a) a high-pressure region (*anticyclone*) and (b) a low-pressure region (*cyclone*) in the Earth's northern hemisphere.\n",
"```\n",
"\n",
"The winds in baroclinic eddies flow along isobars, where the pressure (per area) force is balanced by the combined by the Coriolis and centrifugal forces (see Fig. {numref}`{number}`). In [cyclones](https://en.wikipedia.org/wiki/Cyclone), the wind blows around a region of low pressure, whereas the wind blows around a high-pressure region in an [anticyclone](https://en.wikipedia.org/wiki/Anticyclone). Cyclones and anticyclones appear in the atmospheres of Earth, Mars, and the giant planets (e.g., the [Great Red Spot](https://en.wikipedia.org/wiki/Great_Red_Spot) on Jupiter is an anticyclone).\n",
"\n",
"#### Thermal Tides\n",
"If there is a large temperature difference between the day and night hemispheres of a planet, then air flows from the hot day side to the cool night side and are called **thermal tidal winds**. A return flow occurs at lower altitudes. The presence of these winds depends on the fractional change in temperature $(\\Delta T/T)$ over the course of a day. \n",
"\n",
"The fractional change $\\Delta T/T$ is typically less than 1% for planets with substantial atmospheres (e.g., Venus and the giant planets). It can be large for planets with tenuous atmospheres, where it is ${\\sim}20\\%$ for Mars. Strong thermal winds are expected near the surface only on Mars and planets/satellites with even more tenuous atmospheres. Thermal tides are strong in the thermosphere of Earth and Venus, which is well above the visible cloud layers where the density is low and the day/night temperature difference is large.\n",
"\n",
"#### Condensation Flows\n",
"On several bodies (e.g., Mars, Triton, and Pluto) gas condenses out at the winter pole and sublimes in the summer, which is a process that drives **condensation flows**. At the martian summer pole, $\\rm CO_2$ sublimes from the surface and enhances the mass of the atmosphere. At the winter pole, it condenses directly on the surface or onto dust grains that fall down because of their increased weight. Mars' atmospheric pressure varies by ${\\sim}20\\%$ from season-to-season due to its eccentric orbit.\n",
"\n",
"Nitrogen and methane (i.e., condensable gases) may induce condensation flows on Triton and Pluto. Such flows may explain why a fresh layer of ice overlayed most of Triton's equatorial regions during the *Voyager* flyby in 1989, but no ice cover was seen in warmer areas. The *New Horizons* flyby of Pluto uncovered direct evidence of $\\rm N_2$ condensation flows on its surface ([Forget et al. 2021](https://ui.adsabs.harvard.edu/abs/2021psnh.book..297F/abstract)). Sulfur dioxide on Io sublimates on the day side and condenses at night, which may drive fast (supersonic) day-to-night-winds."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Atmospheric Escape\n",
"A particle can escape a body's atmosphere if its kinetic energy exceeds the gravitational binding energy *and* it moves along an upward trajectory without colliding or being scattered by another atom or molecule. Particle escape is possible in the **exosphere**, where the lower boundary is called the **exobase**.\n",
"\n",
"The mean free path for collisions between molecules $\\ell$ is given by\n",
"\n",
"\\begin{align}\n",
"\\ell = \\frac{1}{\\sigma N},\n",
"\\end{align}\n",
"\n",
"which depends on the molecular cross-section $\\sigma$ and the local (particle) number density. The exobase is defined at an altitude $z_{\\rm ex}$ in terms of a scale height $H$, where\n",
"\n",
"\\begin{align}\n",
"\\int_{z_{\\rm ex}}^\\infty \\sigma N(z)dz \\approx \\sigma N(z_{\\rm ex})H = 1.\n",
"\\end{align}\n",
"\n",
"If the scale height $H$ is constant in the exosphere, then the exobase is given by $\\ell(z_{\\rm ex}) = H$. Within the exosphere, the mean free path for a molecule (or atom) is comparable to (or larger than) the atmospheric scale height so that an atom has a reasonable chance of escaping. Various nonthermal processes can also lead to escape in addition to thermal (or Jeans) escape.\n",
"\n",
"### Thermal (Jeans) Escape\n",
"For a gas in thermal equilibrium, the velocities follow a [Maxwellian distribution function](https://en.wikipedia.org/wiki/Maxwell%E2%80%93Boltzmann_distribution), which depends on its kinetic properties (i.e., mass $m$, temperature $T$, and Boltzmann constant $k$) and is given by\n",
"\n",
"\\begin{align}\n",
"f(v)dv = \\sqrt{\\frac{2}{\\pi}}\\left(\\frac{m}{kT}\\right)^{3/2} Nv^2 e^{-mv^2/(2kT)}dv.\n",
"\\end{align}\n",
"\n",
"Collisions between particles drive the general velocity distribution into a Maxwellian distribution. Above the exobase, collisions are negligible and particles in the tail of the Maxwellian velocity distribution with a velocity $v>v_{esc}$ may escape into space. A Maxwellian distribution is characterized by a thermal or most probable velocity $v_{\\rm mp} = \\sqrt{2kT/m}$ that is larger than the mean velocity.\n",
"\n",
"The ratio of the potential to kinetic energy is called the **escape parameter** $\\lambda_{\\rm esc}$ and is given by\n",
"\n",
"\\begin{align}\n",
"\\lambda_{\\rm esc} = \\frac{GMm}{kT(R+z)} = \\frac{R+z}{H(z)} = \\left(\\frac{v_{\\rm esc}}{v_{\\rm mp}}\\right)^2.\n",
"\\end{align}\n",
"\n",
"Integrating the upward flux in a Maxwellian velocity distributing *above the exobase* results in the **Jeans formula** for the gas escape rate $(\\rm atoms/m^2/s)$ by thermal evaporation or\n",
"\n",
"\\begin{align}\n",
"\\Phi_{\\rm J} = \\frac{N v_{\\rm mp}}{2\\sqrt{\\pi}} \\left(1+\\lambda_{\\rm esc} \\right) e^{-\\lambda_{\\rm esc}}.\n",
"\\end{align}\n",
"\n",
"Typical parameters for Earth are: $N = 10^{11}\\ {\\rm m^{-3}}$ and $T = 900\\ {\\rm K}$. For atomic hydrogen $\\lambda_{\\rm esc} \\approx 8$ and $\\Phi \\approx 6 \\times 10^{11}\\ {\\rm atoms/m^2/s}$, which is ${\\sim}3-4\\times$ smaller than the limiting flux $\\Phi_\\ell \\approx N_iD_i/H$. The limiting flux depends on the number density $N$ and diffusion coefficient $D$ of a constituent $i$. Lighter elements and isotopes are lost at a much faster rate than heavier ones. [Jeans escape](https://en.wikipedia.org/wiki/Atmospheric_escape#Jeans_escape) can produce a substantial [isotopic fractionation](https://en.wikipedia.org/wiki/Isotope_fractionation). Calculations of Jeans escape can be used to predict whether or not an object has an atmosphere (to first approximation). \n",
"\n",
"### Nonthermal Escape\n",
"Jeans escape gives a lower limit to the escape flux, where **nonthermal processes** (e.g., dissociation of molecules and charge exchange reactions) often dominate the escape rate. In charge exchange, a fast ion may exchange a charge (typically an electron) with a neutral atom/molecule, where the ion loses its charge but retains its kinetic energy. The new neutral (former ion) may have sufficient energy to escape the host body's gravitational attraction.\n",
"\n",
"**Sputtering** is where an atmospheric atom may gain sufficient energy to escape when it is hit by a fast atom or ion. Sputtering is usually caused by fast ions because it is much easier to accelerate an ion than an atom.\n",
"\n",
"### Hydrodynamic Escape and Impact Erosion\n",
"In the early Solar System, atmospheric losses on many bodies were dominated by impact erosion and hydrodynamic escape. [Hydrodynamic escape](https://en.wikipedia.org/wiki/Hydrodynamic_escape) occurs when a planetary wind composed of a light gas (e.g., hydrogen $\\rm H$) sweeps along heavier gases, which by themselves would not escape according to the Jeans equation. \n",
"\n",
"Hydrodynamic escape requires a significant input of energy to the upper atmosphere. Solar energy is usually not large enough to produce hydrodynamic escape in the atmosphere of a present-day terrestrial world. The early atmospheres of Venus, Earth, and Mars may have underwent periods of hydrodynamic escape, triggered by intense solar UV radiation and a strong solar wind.\n",
"\n",
"**Impact erosion** of the atmosphere of a terrestrial planet can occur during or immediately after a large impact. Atmospheric gas can be swept into space by the momentum of a hydrodynamically expanding vapor plume produced upon impact. Atmospheric escape occurs if this vapor plume attains escape velocity and if it has extra momentum to carry the intervening atmosphere with it.\n",
"\n",
"- For an impactor (of radius $R$) that is smaller than the atmospheric scale height (i.e., $R1$. If the evaporative loading is much larger than the energy gained by impact heating (i.e., $\\mathcal{E}_{\\rm e}<1$), then the gas does not have enough energy to escape. In the case of a colossal cratering event, the ejecta from the crater may also be large enough and contain sufficient energy to accelerate atmospheric gas to escape velocities. Moreover, these impactors can remove all of the atmosphere above the horizon at the location of the impact.\n",
"\n",
"\n",
"\n",
"\n",
"\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## History of Secondary Atmospheres\n",
"\n",
"### Formation\n",
"Planetary growth involves the accumulation of solid materials, which can include gas trapped within some solids. If a planet grows to a sufficient mass, then it can gravitationally trap gases from the protoplanetary disk.\n",
"\n",
"- The atmospheres of giant planets are composed primarily of hydrogen and helium, with traces of carbon $(\\rm C)$, oxygen $(\\rm O)$, nitrogen $(\\rm N)$, sulfur $(\\rm S)$, and phosphorous $(\\rm P)$ that combine with hydrogen to form $\\rm CH_4$, $\\rm H_2O$, $\\rm NH_3$, $\\rm H_2S$, and $\\rm PH_3$, respectively.\n",
"- The atmospheres of terrestrial planets and satellites are dominated by $\\rm CO_2$, $\\rm N_2$, $\\rm O_2$, $\\rm H_2O$, and $\\rm SO_2$.\n",
"\n",
"The main difference between the giant and terrestrial planets is gravity, which allowed the giant planets to accrete large quantities of common species (e.g., hydrogen and helium). The light elements $\\rm H$ and $\\rm He$ would have escaped the shallow gravitational potential wells of the terrestrial planets.\n",
"\n",
"The current atmospheres of the terrestrial planets cannot be remnants of gravitationally trapped **primordial atmospheres**, and must have formed from outgassing of bodies accreted as solids. The following chemical reactions can occur in an atmosphere composed of $\\rm H_2$ and other volatiles:\n",
"\n",
"\\begin{align*}\n",
"{\\rm CH_4} + {\\rm H_2O} &\\longleftrightarrow {\\rm CO} + 3{\\rm H_2}, \\\\\n",
"2{\\rm NH_3} &\\longleftrightarrow {\\rm N_2} + 3{\\rm H_2}, \\\\\n",
"{\\rm H_2S} + 2{\\rm H_2O} &\\longleftrightarrow {\\rm SO_2} + 3{\\rm H_2}, \\\\\n",
"8{\\rm H_2S} &\\longleftrightarrow {\\rm S_8} + 8{\\rm H_2}, \\\\\n",
"{\\rm CO} + {\\rm H_2O} &\\longleftrightarrow {\\rm CO_2} + {\\rm H_2}, \\\\\n",
"{\\rm CH_4} &\\longleftrightarrow {\\rm C} + 2{\\rm H_2}, \\\\\n",
"4{\\rm PH_3} + 6{\\rm H_2O} &\\longleftrightarrow {\\rm P_4O_6} + 12{\\rm H_2}.\n",
"\\end{align*}\n",
"\n",
"A loss of hydrogen shifts the equilibrium towards the right, hence *oxidizing* the atmosphere. An atmosphere is **reducing** if a substantial amount of hydrogen is present (e.g., on the giant planets), and **oxidizing** if little hydrogen is present (e.g., on the terrestrial planets).\n",
"\n",
"If the atmospheres of the terrestrial planets were primordial (i.e., accreted from a solar composition gas similar to the giant planets) and all of the hydrogen and helium subsequently escaped, then the most abundant gases would be $\\rm CO_2$ $({\\sim}65\\%)$, $\\rm Ne$ $({\\sim}22\\%)$, and $\\rm N_2$ $({\\sim}10\\%)$, with a small fraction of carbonyl sulfide $OCS$ $({\\sim}4\\%)$. Solar concentrations for $\\rm Ar$, $\\rm Kr$, and $\\rm Xe$ are also expected. \n",
"\n",
"These abundances are quite different from what is observed, where $\\rm Ne$ occurs on Earth (at present) in miniscule amounts. Similarly, nonradiogenic $\\rm Ar$, $\\rm Kr$, and $\\rm Xe$ are present but at abundances over six orders of magnitude less than expected for a solar composition atmosphere. These latter three noble gases are too heavy to escape via thermal process, if initially present, and could not be chemically confined to the condensed portion of the planet like $\\rm CO_2$ is on Earth.\n",
"\n",
"The observed small abundances of the noble gases provide strong evidence that the terrestrial planet atmospheres are secondary in origin. A **secondary atmosphere** could have been produced:\n",
"\n",
"1. during the accretion phase of the planet when impacts caused intense heating and/or by (late) accreting volatile-rich asteroids and comets,\n",
"2. at the time of core formation when the entire planet was molten, and/or\n",
"3. through 'steady' outgassing via volcanic activity.\n",
"\n",
"The ratio of $^{40}{\\rm Ar}/^{36}{\\rm Ar}$ in Earth's present atmosphere indicates when gases were released into the atmosphere. The lighter argon-36 is a primordial isotope that was incorporated into planetesimals only at extreme low temperatures ($<45\\ {\\rm K}$), while the heavier argon-40 originates from radioactive decay of potassium $^{40}{\\rm K}$ (with a half-life of 1.25 Gyr). Both the stable and radioactive isotopes of potassium are incorporated in forming minerals. Upon decay of potassium-40, the resulting argon is released only when the mineral melts (see Fig. {numref}`{number}`).\n",
"\n",
"```{figure-md} primord-atmos-fig\n",
" \n",
"\n",
"Schematic view of the origin and evolution of heavy noble gases in the atmosphere. The Earth’s early atmosphere has a complex history of impact erosion, outgassing from the solid Earth and late supplies by asteroidal and cometary bombardments. Figure Credit: [Bekaert, Broadley, and Marty (2020)](https://www.nature.com/articles/s41598-020-62650-3#Fig8).\n",
"```\n",
"\n",
"### Climate Evolution\n",
"A planet's surface temperature is determined mainly by solar insolation, its Bond albedo, and atmospheric opacity. The Sun's luminosity has slowly increased during the past ${\\sim}4.5\\ {\\rm Gyr}$. In the early Solar System, the solar luminosity was ${\\sim}25\\%$ less than it is currently, which implies a lower surface temperature on the terrestrial planets. Although the total energy output of the Sun was less, the Sun's X-ray and UV emission were much larger and the solar wind was stronger than present-day values.\n",
"\n",
"The planetary albedos may have fluctuated as a result of variations in a planet's cloud deck, ground-ice coverage, and volcanic activity. Changes in atmospheric composition have a profound effect on the climate due to the heat-trapping ability of greenhouse gases. Variations in albedo can occur due to changes in ice cover and abundance of greenhouse gases. **Positive feedback** mechanisms can occur, where the effect due to the primary input is amplified over several cycles as shown in Fig. {numref}`{number}`.\n",
"\n",
"```{figure-md} feedback-fig\n",
" \n",
"\n",
"Schematic illustration of two feedback mechanisms that are important in Earth’s climate system. Each feedback mechanism, as depicted above, may be triggered by either a warming or a cooling; in either case, they trigger an amplifying or countering effect. Note that the positive feedback mechanism, left to its own devices, could lead to runaway cooling and a completely frozen Earth, but positive feedbacks will generally activate negative feedback mechanisms that limit the runaway tendency of positive feedbacks. Figure Credit: [David Bice @ Penn State University](https://www.e-education.psu.edu/earth103/node/668).\n",
"```\n",
"\n",
"An increase in a planet's albedo (i.e., reflecting more energy to space) will lower the planet's temperature, which will increase the snow production and surface ice cover as more $\\rm H_2O$ freezes out. This can eventually lead to phenomenon known as [Snowball Earth](https://en.wikipedia.org/wiki/Snowball_Earth). Alternatively, a decrease in albedo (i.e., reflecting less energy to space) leads to a warming of the planet, where evaporation/sublimation of snow and ice decreases the albedo even more. Because water vapor is a greenhouse gas, this scenario is closely coupled to the second positive feedback illustrated in Fig. {numref}`{number}`. Small changes in the input energy can have large effects on a planet's climate when a positive feedback occurs and could ultimately lead to a **runaway greenhouse effect**.\n",
"\n",
"Periodic orbital variations (e.g., the Milankovitch cycles) or sudden modifications in a planet's orbital eccentricity and obliquity (e.g., caused by a giant impact) also play a role in climate evolution. In particular, the ${\\sim}\\text{40,000}$- and $\\text{100,000}$-year cycles of Earth's ice ages have been attributed to the Milankovitch cycles (see Fig. {numref}`{number}`).\n",
"\n",
"```{figure-md} milankovitch-fig\n",
" \n",
"\n",
"Changes in the orbital precession, obliquity, and eccentricity contribute to latitudinally dependent changes in solar forcing. These effects correlate with the Earth's prior stages of glaciation. Image Credit: Wikimedia:[Milankovitch variations](https://commons.wikimedia.org/wiki/File:Milankovitch_Variations.png) by user Robert Rohde.\n",
"```\n",
"\n",
"#### Earth\n",
"Even though the young Sun's luminosity was lower, the presence of sedimentary rocks and the possible absence of glacial deposits on Earth about 4 Gyr ago suggest that the Earth may have been *even warmer* than today. If true, this could be attributed to an increased greenhouse effect because the atmospheric $\\rm H_2O$, $\\rm CO_2$, and $\\rm CH_4$ (and possibly $\\rm NH_3$) content was likely larger during the early stages of outgassing.\n",
"\n",
"One might expect that an increase in $\\rm CO_2$ would lead to a continuous increase in a planet's temperature. However, the long-term cycling of $\\rm CO_2$ may be regulated so that the Earth's surface temperature does not change too much over *long* (i.e., many 1000s of years) time periods. Carbon dioxide is removed from the atmosphere-ocean system via the **Urey weathering reaction** (or [Carbon-silicate cycle](https://en.wikipedia.org/wiki/Carbonate%E2%80%93silicate_cycle)), which is a chemical reaction between $\\rm CO_2$, dissolved water (e.g., rain), and the silicate minerals in the soil. \n",
"\n",
"```{figure-md} urey-weathering-fig\n",
" \n",
"\n",
"This schematic shows the relationship between the different physical and chemical processes that make up the carbonate-silicate cycle. In the upper panel, the specific processes are identified, and in the lower panel, the feedbacks associated are shown; green arrows indicate positive coupling, while yellow arrows indicate negative coupling. Image Credit: Wikipedia:[Carbon-silicate cycle](https://en.wikipedia.org/wiki/Carbonate%E2%80%93silicate_cycle).\n",
"```\n",
"\n",
"This cycling of $\\rm CO_2$ between the atmosphere and other reservoirs is shown in Figure Fig. {numref}`{number}`. The reaction releases calcium $\\rm Ca$ and magnesium $\\rm Mg$ ions, which converts $\\rm CO_2$ into bicarbonate $(\\rm HCO_3^-)$. The bicarbonate reacts with ions to form other carbonate minerals. An example of this reaction for calcium is given by\n",
"\n",
"\\begin{align}\n",
"{\\rm CaSiO_3} + 2{\\rm CO_2} + {\\rm H_2O} &\\rightarrow {\\rm Ca^{++}} + {\\rm SiO_2} + 2{\\rm HCO_3^-}, \\\\\n",
"{\\rm Ca^{++}} + 2{\\rm HCO_3^-} &\\rightarrow {\\rm CaCO_3} + {\\rm CO_2} + {\\rm H_2O}.\n",
"\\end{align}\n",
"\n",
"Most of the calcium carbonates on Earth are produced by organisms in the oceans. Carbonate sediments on the ocean floor are carried downwards by plate tectonics and are transformed back into $\\rm CO_2$ in the high-temperature and high-pressure environment of the Earth's mantle by the following reaction:\n",
"\n",
"```{math}\n",
":label: silicate_weathering\n",
"{\\rm CaCO_3} + {\\rm SiO_2} \\rightarrow {\\rm CaSiO_3} + {\\rm CO_2}.\n",
"```\n",
"\n",
"Volcanic outgassing returns the $\\rm CO_2$ to the atmosphere. The weathering rate increases when the surface temperature is higher, the surface temperature *is related* to the $\\rm CO_2$ content of the atmosphere through the greenhouse effect. This effectively institutes a self-regulation in the atmospheric ${\\rm CO_2}$ abundance on Earth. The role of this carbonate-silicate weather cycle during the recovery from glaciations is well established.\n",
"\n",
"The abundance of ${\\rm O_2}$ in the Earth's atmosphere is primarily attributable to the photosynthesis of green plants (and microorganisms) with a small contribution from past photodissociation of $\\rm H_2O$. The molecular oxygen $\\rm O_2$ in our atmosphere rose to significant levels about 2.2 Gyr ago (see Fig. {numref}`{number}`). The presence of iron carbonate $(\\rm FeCO_3)$ and uranium dioxide $(\\rm UO_2)$ in sediments that date back to more than 2.2 Gyr ago and it absence in younger sediments provide evidence for the presence of free oxygen in Earth's atmosphere over the past 2.2 Gyr because oxygen destroys these compounds today.\n",
"\n",
"```{figure-md} goe-fig\n",
" \n",
"\n",
"Multiple lines of geologic and geochemical evidence support the view that oxygen gas first became a permanent component of Earth's atmosphere and surface ocean ${\\sim}2.4$ billion years ago. Sedimentary iron formation (a), which requires transport of ferrous iron through the ocean, is abundant in successions that predate the GOE but uncommon afterward. The blue shaded region denoting atmospheric $\\rm O_2$ levels is only notional, as it is possible that atmospheric $\\rm pO_2$ dropped below 1% of present atmospheric levels (PAL) during the Proterozoic. Figure Credit: [Olejarz, Iwasa, Knoll, and Nowak (2021)](https://www.nature.com/articles/s41467-021-23286-7).\n",
"```\n",
"\n",
"The most striking evidence of a low oxygen abundance on Earth is provided by [banded iron formations](https://en.wikipedia.org/wiki/Banded_iron_formation) (BIFs) on the ocean floor, a sediment that consists of alternating (few cm thick) layers of iron oxides (e.g., hematite and magnetite) and sediments (e.g., shale and chert). Banded iron formations imply that iron deposits built up in sea water, something that cannot occur in today's oxygen-rich oceans.\n",
"\n",
"Since BIFs are common in sediments laid down prior to 1.85 Gyr ago but very rare in more recently formed rocks, then free oxygen must have been a rare commodity more than 2 Gyr ago. The rise of oxygen coincided with a large ice age. The increase in $\\rm O_2$ may have eliminated much of the methane gas by reducing its photochemical lifetime and constraining the environments in which methanogens (methane-producing archaebacteria) could survive.\n",
"\n",
"The influence of humans on the evolution of the Earth's atmosphere at the present time should not be discounted. The $\\rm CO_2$ and $\\rm CH_4$ levels in our atmosphere which is leading to a global warming through enhancement of the greenhouse effect. Figure {numref}`{number}` illustrates the correlation between $\\rm CO_2$ and $\\rm CH_4$ atmospheric levels with global temperature variations.\n",
"\n",
"```{figure-md} ice-cores-fig\n",
" \n",
"\n",
"420,000 years of ice core data from Vostok, Antarctica research station. The atmospheric levels of $\\rm CO_2$ and $\\rm CH_4$ both correlate with changes in global temperature. Image Credit: Wikipedia:[Milankovitch cycles](https://en.wikipedia.org/wiki/Milankovitch_cycles).\n",
"```\n",
"\n",
"Although the increased temperature will also increase the weathering rate, these geophysical process occur on much longer timescales that the present accumulation of $\\rm CO_2$ and $\\rm CH_4$ into the atmosphere. Increased absorption (dissolution) of $\\rm CO_2$ in seawater has been measured already, which causes the ocean to acidify (i.e., a decrease in the ocean's pH). **Ocean acidification** may have serious consequences for marine ecosystems."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Mars\n",
"Mars' small size and heliocentric distance are important causes for the difference in climate between Mars and Earth. Liquid water cannot exist in significant quantities on Mars' surface at the present time, but the numerous channels on the planet, layers of sandstone, and minerals that can only form in the presence of water are suggestive of running water in the past. This implies that Mars' atmosphere must have been denser and warmer.\n",
"\n",
"The runoff channels are confined to the ancient, heavily cratered terrain, which means that the warm martian climate did not extend beyond about 3.8 Gyr ago. Models of Mars' early atmosphere suggest a mean surface pressure of ${\\sim}1\\ {\\rm bar}$ and a temperature close to $300\\ {\\rm K}$. Widespread volcanism, impacts by planetesimals, and tectonic activity must have provide large sources of ${\\rm CO_2}$ and $\\rm H_2O$, whereas impacts by very large planetesimal may have led to (repeated) losses of atmospheric gases through impact erosion.\n",
"\n",
"In addition to atmospheric escape into space, Mars has probably lost most of its $\\rm CO_2$ via carbonaceous (weathering) processes, adsorption onto the regolith and/or condensation onto the surface. The $\\rm CO_2$ cannot be recycled back into the atmosphere because Mars does not currently show [tectonic activity](https://en.wikipedia.org/wiki/Tectonics_of_Mars), but NASA's Insight mission has detected two [marsquakes](https://www.nasa.gov/feature/jpl/nasa-s-insight-detects-two-sizable-quakes-on-mars). \n",
"\n",
"Without liquid water on the surface, weathering has ceased, and Mars has retained a small fraction of its $\\rm CO_2$ atmosphere. The present abundance of $\\rm H_2O$ on Mars is still being determined. Most of the $\\rm H_2O$ might have escaped and/or there may be large amounts of subsurface water-ice on the planet. A potential problem with the weathering theory is the apparent lack of carbonates on the martian surface, although this can be reconciled if the water was very acidic.\n",
"\n",
"Mars also goes through Milankovitch cycles, where the much larger variations in orbital eccentricity and obliquity has affected its climate. For Mars, these parameters have periodicities about 10 times larger than for Earth, and departures from the mean values are also much larger. The polar regions receive more sunlight when the obliquity is large, and large eccentricities increase the relative amount of sunlight falling on the summer hemisphere at perihelion. The layered deposits in Mars' polar region along with glaciations in the tropics and at mid-latitudes suggest that such periodic changes have taken place on Mars.\n",
"\n",
"The Tharsis region of Mars contains many volcanoes that appear to be roughly the same age. The eruptions of these volcanoes must have enhanced the atmospheric pressure and the surface temperature via the greenhouse effect. However, the sparsity of impact craters implies that the volcanic eruptions occurred well after the formation of the runoff channels on Mars' highlands."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Venus\n",
"Venus is very dry, with an atmospheric $\\rm H_2O$ abundance of only 100 parts per million (ppm). In contrast, Earth's oceans have about $10^5$ times as much water. Various theories have been offered to explain the lack of water on Venus.\n",
"\n",
"It could have simply formed with very little water because the minerals that condensed in this relatively warm region of the solar nebula lacked water. However, mixing of planetesimals between the accretion zones and asteroid/cometary impacts could have provided similar amounts of volatiles to Earth and Venus. \n",
"\n",
"It seems probable that there was an appreciable fraction of a terrestrial ocean on early Venus. The $\\rm D/H$ ratio on Venus is about $100\\times$ larger than on Earth, which is persuasive evidence that Venus was once much wetter than it is now. But where did all the water go? Water can be dissociated into hydrogen and oxygen, either by photodissociation or chemical reactions, and the hydrogen then escapes into space.\n",
"\n",
"The classical explanation for Venus' water loss is through a runaway greenhouse effect. A simple climate model, which assumes that Venus outgassed a pure-water vapor atmosphere shows that the surface temperature increases due to an enhanced greenhouse effect. There is a positive feedback between the increasing temperature and increasing opacity. On Venus, the temperature stayed well above the saturation pressure curve (i.e., the water did not condense to become a liquid again), which led to a runaway greenhouse effect, and all of Venus' water accumulated in the atmosphere as steam. Assuming an effective mixing process, the water is distributed throughout the atmosphere and is photodissociated at high altitudes, which allows for the subsequent escape of hydrogen atoms to space.\n",
"\n",
"A simple model (in Figure {numref}`{number}`) illustrates this process using the Clausius-Clapeyron equation of state (Eqn. {eq}`CCEOS`), the greenhouse effect (Eqn. {eq}`surface_greenhouse`), and a relation between the vapor pressure $p^*(T)$ and optical depth ([Nakajima, Hayashi, & Abe (1992)](https://journals.ametsoc.org/view/journals/atsc/49/23/1520-0469_1992_049_2256_asotge_2_0_co_2.xml)) given as\n",
"\n",
"\\begin{align}\n",
"\\tau = \\frac{\\kappa}{g}p^*(T),\n",
"\\end{align}\n",
"\n",
"which depends on an absorption coefficient of water $\\kappa \\approx 0.003\\ {\\rm kg/m^2}$ and the surface gravity $g$. This model is adapted from [Goody & Walker (1972)](https://ui.adsabs.harvard.edu/abs/1972atmo.book.....G/abstract), where Venus (along with Mars and Earth) formed airless at the current distance from the Sun and volcanoes belched out atmospheres of pure water vapor. If enough water vapor was present to create a greenhouse effect, then the surface temperature would rise accordingly. Each planet in the model is assumed to have an albedo equivalent to present-day Mars, which is important for determining the equilibrium temperature (Eqn. {eq}`T_eq`).\n",
"\n",
"```{glue:figure} classical_runaway_fig\n",
":figwidth: 600px\n",
":name: \"classical_runaway\"\n",
"\n",
"Diagram illustrating the \"classical\" runaway greenhouse effect from the model described by [Goody & Walker (1972)](https://ui.adsabs.harvard.edu/abs/1972atmo.book.....G/abstract).\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"data": {
"application/papermill.record/image/png": "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\n",
"application/papermill.record/text/plain": ""
},
"metadata": {
"scrapbook": {
"mime_prefix": "application/papermill.record/",
"name": "classical_runaway_fig"
}
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import rcParams\n",
"from scipy.constants import R, sigma\n",
"from myst_nb import glue\n",
"\n",
"rcParams.update({'font.size': 12})\n",
"rcParams.update({'mathtext.fontset': 'cm'})\n",
"\n",
"def saturation_pressure(T):\n",
" #T = temperature (in Kelvin)\n",
" R = 461.5 #J/K/kg\n",
" l_v = 2.5e6 #latent heat of vaporization in J/kg\n",
" l_s = 2.834e6 #enthalpy of sublimation\n",
" sub_zero = np.where(T<273.15)[0]\n",
" p = 6.11e-3*np.exp(l_v/(R*273.16))*np.exp(-l_v/(R*T))\n",
" p[sub_zero] = 6.11e-3*np.exp(l_s/(R*273.16))*np.exp(-l_s/(R*T[sub_zero]))\n",
" return p\n",
"\n",
"def surface_temp(tau,ap):\n",
" #tau = optical depth\n",
" #ap = semimajor axis (in AU)\n",
" #g = acceleration due to gravity (in m/s^2)\n",
" S = S_o/ap**2 #Solar flux at TOA\n",
" T_e = (S*(1-A_mars)/(4.*sigma))**0.25\n",
" return T_e*(1+0.75*tau)**0.25\n",
"\n",
"fs = 'medium'\n",
"lw = 1.25\n",
"\n",
"surf_grav = [3.721, 9.8, 8.87]\n",
"a_p = [1.52,1.,0.72]\n",
"A_mars = 0.17 #albedo of Mars\n",
"k_v = 0.003\n",
"S_o = 1361 #Solar constant in W/m^2\n",
"pl_lbl = ['MARS','EARTH','VENUS']\n",
"\n",
"fig = plt.figure(figsize=(4,4),dpi=150)\n",
"ax1 = fig.add_subplot(111)\n",
"\n",
"T_rng = np.arange(200,400,0.1) #temperature range (in K)\n",
"vapor_press = saturation_pressure(T_rng)\n",
"ax1.plot(vapor_press,T_rng,'k-',lw=lw)\n",
"ax1.axhline(273.16,0.635,0.9,color='k',lw=1)\n",
"\n",
"press = np.logspace(-6,0,len(vapor_press))\n",
"col = ['c','b','r']\n",
"for i in range(0,3):\n",
" tau_g = k_v*press*1e5/surf_grav[i]\n",
" T_g = surface_temp(tau_g,a_p[i])\n",
" vapor_T = saturation_pressure(T_g)\n",
" cutoff = np.where(np.abs(vapor_T-press)<1e-6)[0]\n",
" if len(cutoff) == 0:\n",
" cutoff = len(T_g)-1\n",
" else:\n",
" cutoff = cutoff[0]\n",
" ax1.plot(press[:cutoff],T_g[:cutoff],'--',color=col[i],lw=lw,label=pl_lbl[i])\n",
" ax1.plot(press[cutoff],T_g[cutoff],'s',color=col[i],ms=5)\n",
"ax1.legend(loc='upper left',fontsize=fs)\n",
"ax1.set_xlim(1e-6,1)\n",
"ax1.set_ylim(200,400)\n",
"\n",
"ax1.text(0.5,0.5,'VAPOR',transform=ax1.transAxes)\n",
"ax1.text(0.6,0.2,'ICE',transform=ax1.transAxes)\n",
"ax1.text(0.75,0.4,'LIQUID',transform=ax1.transAxes)\n",
"\n",
"ax1.set_xlabel(\"Vapor Pressure of Water (bar)\",fontsize=fs)\n",
"ax1.set_ylabel(\"Surface Temperature (K)\",fontsize=fs)\n",
"\n",
"ax1.set_xscale('log');\n",
"ax1.set_xticks([1e-6,1e-5,1e-4,1e-3,1e-2,0.1,1])\n",
"\n",
"glue(\"classical_runaway_fig\", fig, display=False);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Mars started out with the coldest surface and equilibrium temperature $({\\sim}215\\ {\\rm K})$. As the vapor pressure builds, Mars reaches a phase transition where the water vapor freezes into ice (at about $0.02\\ {\\rm mbar}$) and is shown by the cyan curve in Fig. {numref}`{number}`. The Earth begins a little warmer, where enough water vapor accumulates to create a slight greenhouse effect (i.e., the blue curve bends slightly upward in Fig. {numref}`{number}`). However, the water vapor is able to condense into liquid water instead of ice. Venus is even closer to the Sun, where its surface begins at ${\\sim}315\\ {\\rm K}$. This allowed large amounts of water vapor to accumulate in Venus' atmosphere, which was enough for a large greenhouse effect before saturation was reached (the red curve in Fig. {numref}`{number}`). Since it never intersects the saturation vapor pressure curve, the vapor doesn't condense to form ocean and Venus' surface temperature \"runs away\" in this calculation.\n",
"\n",
"An alternative model to explain Venus' water loss is the [moist greenhouse effect](https://en.wikipedia.org/wiki/Runaway_greenhouse_effect#The_moist_greenhouse_limit). This model relies on moist convection, where Venus had a surface temperature near the boiling point of water $(100^\\circ {\\rm C})$. Convection transported the saturated air upward. Water condensed out, and the latent heat of condensation led to a decrease in the atmospheric lapse rate (i.e., change in temperature with altitude) and increased the altitude of the tropopause. In this scenario, water vapor naturally reached high altitudes, where it was dissociated and escaped into space. \n",
"\n",
"With the accumulation of water vapor in the atmosphere, the atmospheric pressure increased, which prevents the oceans from [boiling](https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Physical_Properties_of_Matter/States_of_Matter/Phase_Transitions/Boiling). The oceans continue to evaporate because of the rapid water loss rate from the top of the atmosphere. As long as there was liquid water on the surface, $\\rm CO_2$ and $\\rm O_2$ were removed from the atmosphere by weathering processes. When the liquid water was gone, $\\rm CO_2$ could not form carbonate minerals and accumulated in the atmosphere."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## **Homework**\n",
"```{admonition} Problem 1\n",
"**(a)** Neglecting internal heat sources and assuming rapid rotation, calculate the average equilibrium temperature for all eight planets.\n",
"\n",
"**(b)** At which wavelength would you expect the blackbody spectral peak of each planet?\n",
"```\n",
"\n",
"```{admonition} Problem 2\n",
"During the ice ages, much more of the Earth was covered by ice:\n",
"\n",
"**(a)** Would that increase or decrease Earth's albedo?\n",
"\n",
"**(b)** *Estimate* an 'ice age' albedo for Earth and compute the equilibrium temperature.\n",
"\n",
"**(c)** What if the entire Earth was covered by ice (i.e., snowball Earth)? Estimate a planetary albedo and equilibrium temperature.\n",
"```\n",
"\n",
"```{admonition} Problem 3\n",
"Consider a rapidly rotating planet wih an atmosphere in radiative equilibrium. The planet has a circular orbit of radius $2\\ {\\rm AU}$ from a Sun-like star, where its Bond albedo $A_B = 0.4$ and emissivity $\\epsilon = 1$ at all wavelength. Assume that the planet is heated exclusively by stellar radiation.\n",
"\n",
"**(a)** Calculate the effective and equilibrium temperatures.\n",
"\n",
"**(b)** Calculate the temperature at the upper boundary of the atmosphere, where $\\tau = 0$.\n",
"\n",
"**(c)** Show that continuum radiation from the planet's atmosphere is received from a depth where $\\tau = 2/3$.\n",
"\n",
"**(d)** If the optical depth of the atmosphere just above the ground is $\\tau_g = 10$, determine the surface temperature of the planet.\n",
"```\n",
"\n",
"```{admonition} Problem 4\n",
"The quantum revolution of modern physics revealed a deeper understanding of how the electron interacts with the atomic nucleus (especially in the hydrogen atom).\n",
"\n",
"**(a)** Describe how the Balmer lines are formed.\n",
"\n",
"**(b)** How does the quantum description of the atom explain the stellar spectral lines?\n",
"\n",
"**(c)** Summarize how an astrobiologist might use spectra to search for life on other planets.\n",
"\n",
"```\n",
"\n",
"```{admonition} Problem 5\n",
"Make a diagram that illustrates the greenhouse effect for an Earth-like planet. Label the structures that can contribute to the transport of radiation.\n",
"\n",
"```\n",
"\n",
"```{admonition} Problem 6\n",
"Using your diagram from Problem 5,\n",
"\n",
"**(a)** Identify how those structures could be observed for an extrasolar planet?\n",
"\n",
"**(b)** What could an astrobiologist infer about potential life from the atmospheric composition of extrasolar planets?\n",
"\n",
"```\n",
"\n",
"```{admonition} Problem 7\n",
"Summarize the formation of clouds within an atmosphere. How does this affect the overall climate?\n",
"\n",
"```"
]
}
],
"metadata": {
"interpreter": {
"hash": "be4bb3c2f54353c26a4bcaba16037df563cd9cf9cf84d3cc553cf8d78d2d3996"
},
"kernelspec": {
"display_name": "Python 3.8.8 ('base')",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}