Calcolatore Limite di Roche
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Roche Limit (Rigid)
64,702,628 m
Roche Limit (Rigid) vs Primary Body Radius
Formula
## The Roche Limit Within the Roche limit, tidal forces from the primary exceed the self-gravity holding the satellite together. ### Rigid Body **d_rigid = 1.26 R_p (rho_p / rho_s)^(1/3)** ### Fluid Body **d_fluid = 2.44 R_p (rho_p / rho_s)^(1/3)** Planetary rings typically exist inside the Roche limit.
Esempio Risolto
Rocky moon (rho = 3346 kg/m³) around Jupiter (R = 69 911 km, rho = 1326 kg/m³).
- 01rho_p / rho_s = 1326 / 3346 = 0.3963
- 02(0.3963)^(1/3) = 0.7347
- 03Rigid: 1.26 × 69 911 000 × 0.7347 ≈ 64 700 km
- 04Fluid: 2.44 × 69 911 000 × 0.7347 ≈ 125 300 km
Domande Frequenti
What happens inside the Roche limit?
A body held together only by gravity will be pulled apart, potentially forming a ring system.
Why are there two limits?
Rigid assumes infinite internal strength (closest approach); fluid assumes zero strength (farthest disruption). Real objects fall between.
Can artificial satellites orbit inside it?
Yes. Artificial satellites are held together by material strength, not self-gravity.