This is homework assignment 8, due on Friday, 22rdOctober.
Do problems: 3.29 and the following problem.
Note in what follows bold face symbols are vectors while
all other symbols are scalars.
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 ra and perihelion rb 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).