Problem 1. (25 pts) A satellite of mass m = 3000 kg is moving on an elliptic orbit around the Earth with semi-major axis a = 6.25 x 10' m, semi-minor axis b = 4.00 x 10m, and eccentricity e =0.768-see the figure. The speed of the satellite at the apogee A is vA = 914m/s. The mass of the Earth is M = 5.97 x 1024 kg; the gravitational constant G = 6.67 x 10-11 m3 /(kg . s2). a) (8 pts) Use conservation of energy to determine the speed of the satellite at the point B. b) (8 pts) Use conservation of energy to determine the speed of the satellite at the perigee C. c) (4 pts) Calculate the magnitude of the angular momentum of the satellite with respect to the center of the Earth at the apogee A. d) (5 pts) Calculate the magnitude of the angular momentum of the satellite with respect to the center of the Earth at the perigee C. Is this larger than, smaller than, or equal to the one calculated at the apogee? Explain why. 0, 768\f