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sci.roche-limit Calculator
Calculates the Roche limit — the minimum orbital radius within which tidal forces shatter a satellite: d = R_M × (2ρ_M/ρ_m)^(1/3). Saturn's rings lie within its Roche limit (~140,000 km) — material inside this boundary was disrupted rather than accreting into a moon.
Inputs
Primary Mass Kg
Total mass of the body. Used with height to calculate BMI and estimate lean mass.
Primary Radius M
Distance from centre to edge of a circle. Radius = diameter / 2.
Satellite Density Kg M3
Mass per unit volume (kg/m³). Water: 1,000. Air: 1.225. Steel: 7,850. Affects buoyancy, flow, and structural loads.
Results
Roche limit (km)
Reference formula or conversion factor shown for context.
Roche limit (primary radii)
Reference formula or conversion factor shown for context.
primary mean density (kg/m³)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
d_R = 2.456·R·(ρ_M/ρ_m)^(1/3)
Reference formula or conversion factor shown for context.