1. Team 1 : Problem 3.24
2. Team 2 : 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).
3. Team 3 : Problem 3.27