# Calculate Roche Radius

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

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