where:
x | Additional mass (kg) |
d | Density of the additional mass (kg.m^{-3}) |
M | Original mass of the planet (kg) |
r | Original planetary radius (m) |
L | Luminosity of the star, sol: 3.86 x10^{26} (W) |
R_{o} | For a planet: Minimum orbital radius of the planet (m) |
For a moon: Minimum orbital radius of the planet - Maximum orbital radius of the moon (m) |
Note:
Including the exobase height will make the equation too complex, so it is not included at this time.
To solve the equation: use your own value of x until the equation is true.