Titan's atmosphere vs temperature.

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Titan's atmosphere is maintained by its extremely low temperatures, which prevent atmospheric particles from reaching escape velocity. The escape velocity on Titan is 2.6 km/s, while the average energy of nitrogen particles at around 100K is only about 240 m/s, significantly lower than the required threshold. This energy disparity indicates that Titan's atmospheric retention is effective due to its cold environment. A substantial increase in temperature would be necessary for significant atmospheric loss to occur. Thus, the low temperatures are crucial for Titan's ability to hold onto its thick atmosphere.
tanzanos
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I was wondering at what temperature would Titan's atmospheric particles reach escape velocity? Since Titan lacks the mass to hold onto its present atmosphere then would I be wrong to conclude that what holds such a thick atmosphere is the extremely low temperatures found on Titan?
 
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The escape velocity is 2.6km/s, at ~100K a typical energy for nitrogen is ~240m/s, a factor of 10 below the escape velocity. In terms of energy, this is a factor of 100, that's fine.
The temperature would have to be significantly higher to get large losses.
 
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