Roche Limit Calculator
Compute rigid-satellite Roche limit d = R(2ρ_M/ρ_m)^{1/3}.
Input Data
Input Primary radius R.
m
Input Primary density ρ_M.
kg/m³
Input Satellite density ρ_m.
kg/m³
Results
9,486,901m
d = R (2ρ_M/ρ_m)^{1/3} = 9.4869e+6 m
At a glance:Roche Limit Calculator: enter parameters to compute results; complements related calculators.
Formula
d = R (2 ρ_M / ρ_m)^{1/3}
rigid approximation; fluid satellite uses 2.44
How to Use
- Enter primary radius R, primary density ρ_M, satellite density ρ_m.
- Get rigid Roche limit d.
Case Studies
Moon vs Earth (rigid)
R=6.371×10⁶, ρ_M=5514, ρ_m=3340 → d≈9.5×10⁶ m (≈1.49 R).
FAQ
Fluid coefficient?
Fluid/rubble satellite uses 2.44, giving a larger limit.
Related Tools
References
Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.