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But this result is still at VERY significant odds with the original calculation of
Roche in 1849
S = 2.44 (rho_primary / rho_satellite )^(1/3) R
which assumes a fluid satellite in hydrostatic equilibrium … and makes the
calculation significantly less straightforward!
It’s easy to understand why a fluid satellite will be torn apart at much larger
distances from the primary because of the fact that the tidal force
themselves will deform the satellite into a radially elongated ellipsoidal
shape which, in turn, further increases the tidal forces.