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# d=r(2) m Where I is the radius of the satellite, m the mass of the satellite, and M is the mass of the parent body. [a] Recast this equation in...

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:

1:3.
d=r(2£)
m Where I is the radius of the satellite, m the mass of the satellite, and M is the mass of the parent
body. [a] Recast this equation in terms of ﬂte density of the satellite [pm], the density of the parent
body [9“), and the radius of the parent hody {R}. (Hint: you may assume ﬂtat each body is
well approximated by a sphere.

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