This is homework assignment 8, due on Friday, 20thOctober.
Do problems: 3.29 and the following problem.
A particle of mass m moving in an elliptic orbit in a potential V(r) =
-k/r, is at position vector r0 and has
momentum p0 at time t = 0. Find the
aphelion r_a and perihelion r_b of its orbit. Express your answers
purely in terms of the scalar r0, the angle between
r0 and p0, and
the dimensionless parameter ((p0)2r0)/(mk).