Kostenloser Atmospheric Scale Height Rechner
Berechnen Sie den atmospheric scale Größe of any planet aus temperature, molecular mass, and gravity. Kostenloser astronomy tool.
Scale Height
8,428.92 m
Scale Height vs Temperature
Formel
## 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)** - *k_B* = 1.381 x 10 to the minus 23 J/K (Boltzmann constant) - *T* = temperature in kelvin - *m* = mean molecular mass of the atmosphere (kg per molecule) - *g* = surface gravity For Earth, H is about 8.5 km.
Lösungsbeispiel
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
Häufig Gestellte Fragen
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.