Equation 2: Increasing Planetary Mass


where:
xAdditional mass (kg)
dDensity of the additional mass (kg.m-3)
MOriginal mass of the planet (kg)
rOriginal planetary radius (m)
LLuminosity of the star, sol: 3.86 x1026 (W)
Ro 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.