# Atmospheric escape

Graphs of escape velocity against surface temperature of some Solar System objects showing which gases are retained. The objects are drawn to scale, and their data points are at the black dots in the middle.

Atmospheric escape is the loss of planetary atmospheric gases to outer space. A number of different mechanisms can be responsible for atmospheric escape, operating at different time scales; the most prominent is Jeans Escape, named after British astronomer Sir James Jeans, who described the process of atmospheric loss to the molecular kinetic energy.[1] The relative importance of each loss process is a function of the planet's mass, its atmosphere composition, and its distance from its sun.

## Thermal escape mechanisms

One classical thermal escape mechanism is Jeans escape.[2] In a quantity of gas, the average velocity of any one molecule is measured by the gas's temperature, but the velocities of individual molecules change as they collide with one another, gaining and losing kinetic energy. The variation in kinetic energy among the molecules is described by the Maxwell distribution. The kinetic energy and mass of a molecule determine its velocity by ${\displaystyle E_{\mathit {kin}}={\frac {1}{2}}mv^{2}}$.

Individual molecules in the high tail of the distribution may reach escape velocity, at a level in the atmosphere where the mean free path is comparable to the scale height, and leave the atmosphere.

The more massive the molecule of a gas is, the lower the average velocity of molecules of that gas at a given temperature, and the less likely it is that any of them reach escape velocity.

This is why hydrogen escapes from an atmosphere more easily than carbon dioxide. Also, if the planet has a higher mass, the escape velocity is greater, and fewer particles will escape. This is why the gas giant planets still retain significant amounts of hydrogen and helium, which have largely escaped from Earth's atmosphere. The distance a planet orbits from a star also plays a part; a close planet has a hotter atmosphere, with a range of velocities shifted into the higher end of the distribution, hence, a greater likelihood of escape. A distant body has a cooler atmosphere, with a range of lower velocities, and less chance of escape. This helps Titan, which is small compared to Earth but further from the Sun, retain its atmosphere.

An atmosphere with a high enough pressure and temperature can undergo a different escape mechanism - "hydrodynamic escape". In this situation the atmosphere simply flows off like a wind into space, due to pressure gradients initiated by thermal energy deposition. Here it is possible to lose heavier molecules that would not normally be lost. Hydrodynamic escape has been observed for exoplanets close-to their host star, including several hot Jupiters (HD 209458b, HD 189733b) and a hot Neptune (GJ 436b).

## Non-thermal escape

### Significance of solar winds

One escape mechanism is atmospheric heating by a solar wind in the absence of a planetary magnetosphere. Excess kinetic energy from solar winds can impart sufficient energy to the atmospheric particles to allow them to reach escape velocity, causing atmospheric escape. The solar wind, composed of ions, is deflected by magnetic fields because the charged particles within the wind flow along magnetic field lines. The presence of a magnetic field thus deflects solar winds, preventing the loss of atmosphere. On Earth, for instance, the interaction between the solar wind and earth's magnetic field deflects the solar wind around the planet, with near total deflection at a distance of 10 Earth radii.[3] This region of deflection is called a bow shock.

Depending on planet size and atmospheric composition, however, a lack of magnetic field does not fully determine the fate of a planet's atmosphere. Venus, for instance, has no powerful magnetic field. Its close proximity to the Sun also increases the speed and number of particles, and would presumably cause the atmosphere to be stripped almost entirely, much like that of Mars. Despite this, the atmosphere of Venus is two orders of magnitude denser than Earth's.[4] Recent models indicate that stripping by solar wind accounts for less than 1/3 of total non-thermal loss processes.[4]

While Venus and Mars have no magnetosphere to protect the atmosphere from solar winds, photoionizing radiation (sunlight) and the interaction of the solar wind with the atmosphere of the planets causes ionization of the uppermost part of the atmosphere. This ionized region in turn induces magnetic moments that deflect solar winds much like a magnetic field. This limits solar-wind effects to the uppermost part of the atmosphere, roughly 1.2–1.5 planetary radii away from the planet, or an order of magnitude closer to the surface than Earth's magnetic field creates. Beyond this region, called a bow shock, the solar wind is slowed to subsonic velocities.[3] Nearer to the surface, solar-wind dynamic pressure reaches a balance with the pressure from the ionosphere, in a region called the ionopause. This interaction typically prevents solar-wind stripping from being the dominant loss process of the atmosphere.

At planets with a magnetic field, like Earth, ions can escape along the vertical magnetic field lines in the polar regions. Thus, while a magnetic field protects a planet from some atmospheric escape processes, it also enables others that do not occur on unmagnetized planets. In total, it has been found that a magnetic field is not necessary to protect a planet from losing its atmosphere, and that the absence of an intrinsic magnetic field can lead to somewhat lower escape rates.[5]

### Comparison of non-thermal loss processes based on planet and particle mass

Argon Isotope Ratios are a signature of atmospheric escape on Mars (Curiosity rover) (April, 2013)[6][7]

The dominant non-thermal loss processes depends on the planetary body. The relative significance of each process depends on planetary mass, atmospheric composition, and distance from the sun. The dominant non-thermal loss processes for Venus and Mars, two terrestrial planets neither with magnetic fields, are dissimilar. The dominant non-thermal loss process on Mars is from solar winds, as the atmosphere is not dense enough to shield itself from the winds during peak solar activity.[4] Venus is somewhat shielded from solar winds because of its denser atmosphere and as a result, solar pick-up is not its dominant non-thermal loss process. Smaller bodies without magnetic fields are more likely to suffer from solar winds, as the planet is too small to have sufficient gravity to produce a dense enough atmosphere and stop solar wind pick-up.

The dominant loss process for Venus' atmosphere is through electric force field acceleration. Stellar EUV and XUV photoionize molecular and atomic species in the upper atmosphere, producing free electrons. The electrons are less massive than their parent ions, and as a result are more easily accelerated up to and beyond the escape velocity of the planet, leaving the ionosphere of Venus and flowing out into the stellar wind.[4] This charge separation between the escaping, low-mass electrons and significantly heavier, positively-charged ions sets up a polarization electric field. That electric field, in turn, acts to pull the positively charged ions along behind the escaping electrons, out of the atmosphere. As a result, H+ ions are accelerated beyond escape velocity. Other important loss processes on Venus are photochemical reactions driven by Venus's proximity to the Sun. Photochemical reactions rely on the splitting of molecules into constituent atoms, often with a significant portion of the kinetic energy carried off in the less massive particle with sufficiently high kinetic energy to escape. Oxygen, relative to hydrogen, was assumed to not be of sufficiently low mass to escape through this mechanism. However, a Japanese research team in 2017 found ions from earth have been discovered on the moon which matched earth's oxygen profile perfectly.[8]

### Phenomena of non-thermal loss processes on moons with atmospheres

Several natural satellites in the Solar System have atmospheres and are subject to atmospheric loss processes. They typically have no magnetic fields of their own, but orbit planets with powerful magnetic fields. Many of these moons lie within the magnetic fields generated by the planets and are less likely to undergo sputtering and pick-up[clarification needed]. The shape of the bow shock, however, allows for some moons, such as Titan, to pass through the bow shock when their orbits take them between the Sun and their primary. Titan spends roughly half of its transit time outside of the bow-shock and being subjected to unimpeded solar winds. The kinetic energy gained from pick-up and sputtering associated with the solar winds increases thermal escape throughout the transit of Titan, causing neutral hydrogen to escape.[9] The escaped hydrogen maintains an orbit following in the wake of Titan, creating a neutral hydrogen torus around Saturn. Io, in its transit around Jupiter, encounters a plasma cloud.[10] Interaction with the plasma cloud induces sputtering, kicking off sodium particles. The interaction produces a stationary banana-shaped charged sodium cloud along a part of the orbit of Io.

### Impact erosion

The impact of a large meteoroid can lead to the loss of atmosphere. If a collision is energetic enough, it is possible for ejecta, including atmospheric molecules, to reach escape velocity. Just one impact such as the Chicxulub event does not lead to a significant loss, but the terrestrial planets went through enough impacts when they were forming for this to matter.[11]

## Sequestration

Sequestration is not a form of escape from the planet, but a loss of molecules from the atmosphere and into the planet. It occurs on Earth when water vapor condenses to form rain or glacial ice. It also occurs on Earth when carbon dioxide is sequestered in sediments, or cycled through the oceans. The dry ice caps on Mars are also an example of sequestration.

One mechanism for sequestration is chemical; for example, most of the carbon dioxide of the Earth's original atmosphere has been chemically sequestered into carbonate rock. Very likely a similar process has occurred on Mars. Oxygen can be sequestered by oxidation of rocks; for example, by increasing the oxidation states of ferric rocks from Fe2+ to Fe3+. Gases can also be sequestered by adsorption, where fine particles in the regolith capture gas which adheres to the surface particles.

## Dominant atmospheric escape and loss processes on Earth

Hot H atoms had been theorized to exist at very high altitudes, above several thousand kilometers, but our discovery that they exist as low as 250 kilometers was truly surprising...This result suggests that current (Dec 2016) atmospheric models are missing some key physics that impacts many different studies, ranging from atmospheric escape to the thermal structure of the upper atmosphere.Lara Waldrop, assistant professor of electrical and computer engineering University of Illinois[12]

Earth is too large to lose a significant proportion of its atmosphere through Jeans escape. The current rate of loss is about 3 kg of hydrogen and 50 g of helium per second.[2][clarification needed] The exosphere is the high-altitude region where atmospheric density is sparse and Jeans escape occurs. Jeans escape calculations assuming an exosphere temperature of 1,800 K [13] show that to deplete O+ ions by a factor of e (2.718...) would take nearly a billion years. 1,800 K is higher than the actual observed exosphere temperature; at the actual average exosphere temperature, depletion of O+ ions would not occur even over a trillion years. Furthermore, most oxygen on Earth is bound as O2, which is too massive to escape Earth by Jeans escape.[2]

Earth's magnetic field protects it from solar winds and prevents escape of ions, except near the magnetic poles where charged particles stream towards the earth along magnetic field lines. The gravitational attraction of Earth's mass prevents other non-thermal loss processes from appreciably depleting the atmosphere.[specify] Yet Earth's atmosphere is two orders of magnitude less dense than that of Venus at the surface. Because of the temperature regime of Earth, CO2 and H2O are sequestered in the hydrosphere and lithosphere. H2O vapor is sequestered as liquid H2O in oceans, greatly decreasing the atmospheric density. With liquid water running over the surface of Earth, CO2 can be drawn down from the atmosphere and sequestered in sedimentary rocks. Some estimates indicate that nearly all carbon on Earth is contained in sedimentary rocks, with the atmospheric portion being approximately 1/250,000 of Earth's CO2 reservoir.[citation needed] If both of the reservoirs were released to the atmosphere, Earth's atmosphere would be even denser than Venus's atmosphere. Therefore, the dominant “loss” mechanism of Earth's atmosphere is not escape to space, but sequestration.[citation needed] However, in 1 billion years' time, the Sun will be 10% brighter than it is now, making it hot enough for Earth to lose enough hydrogen to space to cause it to lose all of its water (See Future of Earth#Loss of oceans).

Space activities do release measurable mass, the International Space Station alone consumed 7,000 kg per year of propellant over the last 20 years; roughly 7,000 kg of this being hydrogen that was vented and at that altitude, escape is almost certain. Of course, that is negligible when considering the vast mass of earth itself.

## References

1. ^ Muriel Gargaud, Encyclopedia of Astrobiology, Volume 3, Springer Science & Business Media, May 26, 2011, p. 879.
2. ^ a b c David C. Catling and Kevin J. Zahnle, The Planetary Air Leak, Scientific American, May 2009, p. 26 (accessed 25 July 2012)
3. ^ a b Shizgal, B. D.; Arkos, G. G. (1996). "Nonthermal escape of the atmospheres of Venus, Earth, and Mars". Reviews of Geophysics. 34 (4): 483–505. Bibcode:1996RvGeo..34..483S. doi:10.1029/96RG02213.
4. ^ a b c d Lammer, H.; Lichtenegger, H. I. M.; Biernat, H. K.; Erkaev, N. V.; Arshukova, I. L.; Kolb, C.; Gunell, H.; Lukyanov, A.; Holmstrom, M.; Barabash, S.; Zhang, T. L.; Baumjohann, W. (2006). "Loss of hydrogen and oxygen from the upper atmosphere of Venus". Planetary and Space Science. 54 (13–14): 1445–1456. Bibcode:2006P&SS...54.1445L. CiteSeerX 10.1.1.484.5117. doi:10.1016/j.pss.2006.04.022.
5. ^ Gunell, H.; Maggiolo, R.; Nilsson, H.; Stenberg Wieser, G.; Slapak, R.; Lindkvist, J.; Hamrin, M.; De Keyser, J. (2018). "Why an intrinsic magnetic field does not protect a planet against atmospheric escape". Astronomy and Astrophysics. 614: L3. Bibcode:2018A&A...614L...3G. doi:10.1051/0004-6361/201832934.
6. ^ Webster, Guy (April 8, 2013). "Remaining Martian Atmosphere Still Dynamic". NASA. Retrieved April 9, 2013.
7. ^ Wall, Mike (April 8, 2013). "Most of Mars' Atmosphere Is Lost in Space". Space.com. Retrieved April 9, 2013.
8. ^ http://www.space.com/35502-moon-has-oxygen-from-earth-plants.html
9. ^ Lammer, H.; Stumptner, W.; Bauer, S. J. (1998). "Dynamic escape of H from Titan as consequence of sputtering induced heating". Planetary and Space Science. 46 (9–10): 1207–1213. Bibcode:1998P&SS...46.1207L. doi:10.1016/S0032-0633(98)00050-6.
10. ^ Wilson, J. K.; Mendillo, M.; Baumgardner, J.; Schneider, N. M.; Trauger, J. T.; Flynn, B. (2002). "The dual sources of Io's sodium clouds". Icarus. 157 (2): 476–489. Bibcode:2002Icar..157..476W. doi:10.1006/icar.2002.6821.
11. ^ Melosh, H.J.; Vickery, A.M. (April 1989). "Impact erosion of the primordial atmosphere of Mars". Nature. 338 (6215): 487–489. Bibcode:1989Natur.338..487M. doi:10.1038/338487a0. PMID 11536608.
12. ^ https://www.sciencedaily.com/releases/2016/12/161207093031.htm
13. ^ Space Studies Board, Division on Engineering and Physical Sciences (Jan 15, 1961). The Atmospheres of Mars and Venus. National Academies Press. ISBN 9780309123884.