Calculateur de Hauteur d'Échelle Atmosphérique
Calculez la hauteur d'échelle de l'atmosphère d'une planète.
K
kg
m/s2
Scale Height
8,428.92 m
Scale Height (km)8.4289 km
Scale Height vs Temperature
Formule
Atmospheric Scale Height
The scale height is the vertical distance over which atmospheric pressure decreases by a factor of *e* (about 2.718).
Formula
H = k_B T / (m g)
For Earth, H is about 8.5 km.
Exemple Résolu
Earth: T = 288 K, m = 4.81e-26 kg (N2/O2 mix), g = 9.81 m/s2.
- 01H = k_B T / (m g)
- 02H = 1.381e-23 * 288 / (4.81e-26 * 9.81)
- 03H = 3.977e-21 / 4.719e-25
- 04H = 8 428 m = 8.43 km
Questions Fréquentes
Why does a hotter atmosphere have a larger scale height?
Higher temperature means molecules move faster and can support a thicker atmospheric column against gravity.
How does scale height affect habitability?
A very small scale height means a thin atmosphere; a large one helps retain warmth. Scale height influences atmospheric escape rates too.
What is the scale height of Mars?
About 11.1 km, larger than Earth's despite lower temperature because Mars has weaker gravity and a lighter (CO2-dominated) atmosphere.