This is homework assignment 8, due on Friday, 12^thOctober.

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 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).

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