What factors determine the composition of a planet's atmosphere?

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SUMMARY

The composition of a planet's atmosphere is significantly influenced by its mass and temperature. Heavier planets, such as Saturn and Jupiter, can retain lighter gases like hydrogen and helium due to their higher escape velocities, which are determined by the mass of the planet. The formula for escape velocity, ## \frac{1}{2}(m)v^2=\frac{GM}{r}(m) ##, indicates that heavier planets can better contain lighter atoms, especially in colder conditions. Non-thermal losses, such as solar and stellar winds, also play a critical role in atmospheric retention, as discussed in the referenced Wikipedia article.

PREREQUISITES
  • Understanding of escape velocity and its mathematical formulation
  • Familiarity with the concepts of thermal dynamics and gas behavior
  • Knowledge of planetary mass and its effects on atmospheric composition
  • Awareness of non-thermal atmospheric loss mechanisms
NEXT STEPS
  • Research the mathematical derivation of escape velocity in planetary atmospheres
  • Study the effects of temperature on gas retention in planetary atmospheres
  • Explore the role of solar and stellar winds in atmospheric loss
  • Investigate the characteristics of hot Jupiters and their atmospheric dynamics
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Astronomers, planetary scientists, and students of astrophysics interested in understanding atmospheric composition and retention mechanisms on different celestial bodies.

Drakkith
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I'm curious as to how the mass of a body affects the kind of atmosphere it can hold. I know that Earth tends to lose its lightest gases over time, which is one reason why helium doesn't build up in the atmosphere, whereas planets like Saturn and Jupiter have held on to lots and lots of hydrogen and helium. However, I haven't read much on how other gases are affected. Does anyone have any good information on this?
 
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I don't have a good source, but ## \bar{v}=\sqrt{\frac{8 kT}{\pi m}} ##. This means with sufficiently high temperatures, atoms of lighter masses are going to be able to thermally acquire the necessary escape velocity more readily. The escape velocity, with ## \frac{1}{2}(m)v^2=\frac{GM}{r}(m) ##, (the ## m's ## cancel) , will be higher for a planet of heavier mass ## M ## . Thereby a cold planet with a heavy mass favors being able to contain the lighter atoms in its atmosphere.
 
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That matches with what I was thinking, but I hadn't seen any real information on the subject before. Makes me wonder if all those hot Jupiter's are slowly losing mass.
 
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This wikipedia article deals with the issue. It includes a useful overview of the importance of non-thermal losses (especially solar/stellar winds) in some circumstances. There is a useful chart plotting escape velocity versus temperature for some of the more important gases.
 
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Ophiolite said:
This wikipedia article deals with the issue. It includes a useful overview of the importance of non-thermal losses (especially solar/stellar winds) in some circumstances. There is a useful chart plotting escape velocity versus temperature for some of the more important gases.

Thanks! Just what I was looking for!
 

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