My world has a radius of .87 REarth, an average temperature of 278 K, and an escape velocity of 9.3 km/s. My atmosphere is 1.81 atm at sea level and has a 14052 m scale height. Is this enough to figure out where my tropopause is?

Next, I'm wondering whether this will affect things like my mountains' rain shadows, formation of high-altitude lakes, average wind speeds in my trade winds, etc.

  • $\begingroup$ The tropopause is defined by the reversal of the vertical temperature gradient which separates the troposphere from the stratosphere. The reason the stratosphere is warmer is because of ozone photolysis. To get your tropopause height you need to find out at which height the maximum of ozone photolysis is happening. $\endgroup$ – Khris Feb 22 '18 at 7:12
  • $\begingroup$ Thanks! I'm so new to meteorology that I almost literally don't know which way is up ;p is there anywhere you'd recommend starting @Khris? $\endgroup$ – Rúnatál Davino Feb 22 '18 at 7:15
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    $\begingroup$ Problem is your numbers don't add up. Lets say your world has that smaller radius but has the same density as Earth, then your escape velocity would be 9.7 km/s and your gravitational acceleration would be 8.54 m/s². Unless your atmosphere's chemical composition is different you can't have a higher atmospheric pressure than on Earth because your gravitational pull is less. Your sea level pressure would be less than one Earth atmosphere. So I's recommend to check basic physics first to achieve consistency. $\endgroup$ – Khris Feb 22 '18 at 8:08
  • $\begingroup$ @Khris Why not? The pressure is a function of gravity and atmospheric mass. I am too lazy to do the math but he is providing a scale height higher than ours so he probably did do the math. (Why else would he even have that number?) $\endgroup$ – Ville Niemi Feb 22 '18 at 11:12
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    $\begingroup$ I was working on an answer to this, but I think you need to back up the bus one stop. In order to calculate the tropopause altitude, you need lapse rate. To calculate lapse rate of the atmosphere, you need $c_p$, the specific heat at a constant pressure. That can't be calculated, you have to get it off a chart for whatever gasses are in the air. So we need to know atmospheric composition. However, atmospheric composition will determine if your given pressure and scale height are correct, as @Khris points out. I think you should put this question on pause, and... $\endgroup$ – kingledion Feb 22 '18 at 13:54