The Roche Radius, defined to the orbital distance at which a
satellite tidally torn apart by the parent body, is named after
Edward Roche, who first derived it in 1848. Recall that his radius
is given by:
d = r*( 2 * M/m )^(1/3)
Where r is the radius of the satellite, m is the mass of the
satellite, and M is the mass of the parent body.
(a) Recast this equation in terms of the density of the
satellite...