You arrive at Mars in a space shuttle and setup a stable circular orbit. The orbit consists ofa constant orbital speed IVBI and distance from the planet's center Rn. . ' .'1' (image not to scale) ' mship = mshunlc + msalcllitc = 27,500 kg + 2,886 kg RA IVBI = 2952 m/s R3 = 4.89 x 106 m .2: B ,' mMars = 639 X 1023 kg RMars = 3.39 X106 m I K _L\\ a. Before launching a satellite into lower orbit, calculate: I I 0 Your ship's orbital period around Mars _ RB _ _ I Your ship's angular velocity around Mars. 0 Your ship's angular momentum around an axis located at the center of Mars, perpendicular to the page. Since the spacecra's dimensions are small, relative to the planet, treat the spacecraft as a point mass. b. You launch a satellite into a lower orbit, with orbital speed |vA| and distance from the planet's center RA. |vA|=3.118x103m/s RA=4.39x10m 0 Calculate the satellite's angular momentum, around an axis located at the center of Mars, perpendicular to the page. 0 Calculate your ship's new angular momentum after launching the satellite. c. Assume the satellite stays a constant distance RA from the center of Mars with initial values from (b): 0 Calculate your satellite's centripetal acceleration. (this is what keeps the craft in a stable orbit) 0 If your satellite had an angular acceleration equal to 1/3 ofthe magnitude of this centripetal acceleration, calculate the number of revolutions it would make around Mars in 6 days