Given A satellite P of mass m is in orbit around a planet wh

Given: A satellite P of mass m is in orbit around a planet whose center is at E. At position 1 shown below, the satellite is at a distance R_1 from E and moving with a speed of v_1. At position 2 shown, P is at a distance of R_2 from E and moving with a speed of v_2 with the velocity of P oriented as shown below. Assume that the only force acting on the satellite is a gravitational force directed toward E, and that the planet is stationary. Find: For this problem: Determine the speed of P at position 2, v_2, in terms of R_1, R_2, theta_2 and v_1; Provide an argument explaining why your result in (a) does not depend on the gravitational force acting on the satellite.

Solution

a) 17.3N @ 87.1° b) 108.3N