phenomenon

planetary atmospheric loss

Planets losing volatile elements like hydrogen from their atmospheres due to stellar proximity or internal processes.
22 related articles · 3 formulas

Description

Planetary atmospheric loss refers to the processes by which a planet loses volatile elements, especially hydrogen and helium, from its atmosphere. This is a critical factor in determining a planet's habitability, as it shapes the final composition and density of the atmosphere. For hot exoplanets orbiting close to their stars, atmospheric loss can be dramatic, stripping away entire envelopes and leaving behind bare rocky cores or creating comet-like tails of escaping gas.

History

The concept dates back to the early 20th century with studies of Earth's atmospheric evolution, but it became a major focus in exoplanet science after the 2003 discovery of a hydrogen envelope escaping from the hot Jupiter HD 209458b.

How it works

The main mechanisms are thermal escape (Jeans escape), where light molecules at high temperatures exceed the planet's escape velocity, and hydrodynamic escape, where intense stellar radiation heats the upper atmosphere, causing a bulk outflow of gas. Additionally, stellar winds and coronal mass ejections can erode atmospheres through sputtering and stripping. On some planets, volcanic activity or impacts can replenish lost gases, creating a balance between loss and supply.

In practice

This knowledge is used to interpret exoplanet observations, particularly transit spectroscopy, to determine whether a planet retains its atmosphere and what its composition might be. It also guides the search for potentially habitable worlds by identifying which planets are likely to hold onto their water and volatiles.

Fun fact

Some hot exoplanets, like the 'hot Neptunes,' are thought to be the stripped cores of larger planets that lost their entire hydrogen atmospheres to stellar radiation.

Concept graph →

Formulas

$$\dot{M} = \eta \frac{\pi R_{\text{XUV}}^2 F_{\text{XUV}}}{G M_p / R_p}$$
Mass loss rate scales with incident XUV flux and planet properties.
What is in the formula
\dot{M}variableMass loss rate of the planet — mass loss rate kilogram per second
\etavariableHeating efficiency (fraction of incident energy used for escape)
R_{\text{XUV}}variableRadius at which the planet absorbs XUV radiation — radius metre
F_{\text{XUV}}variableIncident XUV flux at the planet — irradiance watt per square metre
M_pvariablePlanet mass — mass kilogram
R_pvariablePlanet radius — radius metre
GconstantNewtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
\dot{m}_{{bulk}}=\eta\frac{πr_{{xuv}}^3f_{{xuv}}}{gm_p} · 2607.13793
$$L_{\text{sd}} = -I \Omega \dot{\Omega}$$
Rotational energy loss rate equals moment of inertia times angular velocity times its derivative.
What is in the formula
Ivariablemoment of inertia — moment of inertia kilogram metre squared
Ωvariableangular velocity — angular velocity radian per second
Ω̇variabletime derivative of angular velocity — angular acceleration radian per second squared
l_{{spin-down}}=-4π^2i\frac{\dot{p}}{p^3} · 2606.29653
l_{\rmsd}=\frac{4π^2i\dot{p}}{p^3} · 2607.03848v1
$$-\frac{dE}{dx} = \frac{4\pi N_A r_e^2 m_e c^2 \rho z^2}{A \beta^2} \left[ \ln\left(\frac{2m_e \gamma^2 v^2 W_{\text{max}}}{I^2}\right) - 2\beta^2 - \delta - 2\frac{C}{Z} \right]$$
Energy loss of charged particles due to ionization in matter.
What is in the formula
EvariableKinetic energy of the charged particle — energy joule
xvariablePath length in the material — length metre
\rhovariableDensity of the absorbing material — density kilogram per cubic metre
zvariableCharge number of the incident particle — charge number
AvariableAtomic mass number of the absorber — atomic mass number
\betavariableSpeed of the particle relative to the speed of light — velocity ratio
\gammavariableLorentz factor of the particle — lorentz factor
vvariableSpeed of the particle — velocity metre per second
W_{\text{max}}variableMaximum energy transfer in a single collision — energy joule
IvariableMean excitation potential of the absorber — energy joule
\deltavariableDensity correction factor — density correction
CvariableShell correction factor — shell correction
ZvariableAtomic number of the absorber — atomic number
N_AconstantNumber of constituent particles per mole — avogadro constant = 6.02214076e23 per mole
r_econstantRadius of a classical electron — classical electron radius = 2.8179403262e-15 metre
m_econstantRest mass of the electron — electron mass = 9.1093837015e-31 kilogram
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
-\frac{d}{dx}operatorNegative derivative with respect to path length — negative derivative
\lnoperatorNatural logarithm — natural logarithm
-\langle\frac{de}{dx}\rangle=2πn_ar_e^2c^2ρ\frac{z}{a}\frac{z^2}{β^2}[\ln(\frac{2m_eγ^2v^2w_{\max}}{i^2})-2β^2-δ-2\frac{c}{z}] · 2607.27531v1

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