eguruchela

Calculate Roche Radius


The Calculator calculates the Satellite Orbital Radius for given central mass and the density of the satellite.

 

Central Mass : kg
Satellite Density:

 

 

Satellite Orbital Radius: AU

The limitation of a large body that prevents any other small body to held to it by gravity is the Roche limit and Roche radius is the distance within which a celestial body, held together only by its own gravity, will disintegrate due to a second celestial body's tidal forces exceeding first body's gravitational self-attraction.

Formula:

R = ((100*M) / (9*π*ρ))1/3

Where,

R = Roche Radius,

M = Central Mass,

π = 3.14,

ρ = Satellite Density