Limite de Roche

The Roche Limit calculator determines the minimum distance at which two celestial bodies can exist without the smaller one being destroyed by the larger body's tidal forces. The formula used is d = R × 2.44 × (ρ₁/ρ₂)^(1/3), where R is the radius of the larger body, ρ₁ its density, and ρ₂ the density of the smaller body. This calculation is critical for understanding phenomena like planetary ring formation and the stability of moons.

To use the calculator, input the radius and densities of both bodies. The result shows the critical distance below which the smaller body will disintegrate. It applies to astronomical scenarios, such as analyzing natural or artificial satellites orbiting planets or stars. The formula assumes rigid, spherical bodies and may be less accurate for deformable objects or those with non-uniform densities.

Note that the Roche Limit is theoretical and ignores factors like structural strength of bodies or influences from other celestial objects. Accurate densities and coherent units are essential for reliable results. In astronomy, this calculation helps predict the destruction of comets (e.g., Shoemaker-Levy 9, destroyed near Jupiter) and the formation of rings around planets like Saturn.