Question

achieves its closest approach A particle of mass m moving in the Kepler potential V -k/ to the force center, r-ro, at 0, where r, p denote polar coordinates in the plane of motion of the particle. At φ = π/3, its distance from the force center is r = 5r0/4. Determine the eccentricity e of the orbit, the angular momentum, the energy, and the ratio of speeds v(p /3)/(p 0). Hint: If you're not completely confident in your knowledge of the bound Kepler orbits, the following factual detail may be helpful: The distance from the force center at ф /2 is determined purely by the angular momentum. L via mkr(p- /2) L2. 1S

Answer 1