Atmospheric Scale Height Rechner — 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.

    1. H = k_B T / (m g)
    2. H = 1.381e-23 * 288 / (4.81e-26 * 9.81)
    3. H = 3.977e-21 / 4.719e-25
    4. H = 8 428 m = 8.43 km