where:
h | Height above the radius (m) |
P_{h} | Pressure at height (h), in standard atmospheres |
P_{o} | Pressure at radius (r), in Pascals (Pa) |
e | 2.718281828... (natural logarithm) |
M_{m} | Molar mass of the atmosphere (kg) |
M_{p} | Mass of the planet (kg) |
T | Temperature of the planet at the planetary radius (K) |
r | Planetary radius (m) |
Note:
P_{h} in Pascals (Pa) is obtained by using J=1
This is a simplified version of a very complex equation
This equation can also be used for depths (h < 0)
These calculations are available in a MS Excel format from here
Radius, Maximum and Mountain-top Atmospheric pressures
Planet | P_{o} | P_{max} | P_{min} | Heighest mountain |
Earth | 1 | 1 | 0.3507 | Mount Everest |
Venus | 91.17 | 102.268 | 44.7 | Mount Maxwell |
Mars | 0.00691 | 0.00873 | 0.00085 | Mount Olympus |
"90 Earth atmospheres" is often quoted as an excuse for the poor habitability of Venus. So it's important to note: atmospheric pressure on the surface of Venus starts at 44.7 atmospheres, at the top of Mount Maxwell.