Roche Limit Calculator: Predict Celestial Body Disruption

Calculate the Roche Limit

Explore the Roche Limit, a critical distance where tidal forces from a larger body overcome the self-gravity of a smaller orbiting body, potentially tearing it apart. This calculator helps determine that exact threshold for planetary systems, rings, and moon formation.

Formula:

The Roche Limit (d) for a fluid secondary body orbiting a primary body can be calculated using the formula:

d = 2.455 × R_p × (ρ_p / ρ_s)^1/3

Where:

d = Roche Limit (distance from the center of the primary body, in km)
R_p = Radius of the primary body (in km)
ρ_p = Density of the primary body (in kg/m³)
ρ_s = Density of the secondary body (in kg/m³)

Physics and Calculations Tools

Roche Limit Calculator: Predict Celestial Body Disruption

Calculate the Roche Limit

Results:

Formula:

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