Question

19 4 points A 1000-kg satellite orbits the Earth at a constant altitude of 100 km. How much energy must be added to the system to move the satellite into a circular orbit with altitude 200 km? (The earth's radius is 6370 km, and its mass is 5.98 x 1024kg and G = 6.67 x 10-11 Nm2/kg) O Zero 1.78 x 10%J 2.23 x 108J 3.74 x 10J 4.69 x 108

Answer 1

(19 of 6370km 200 Mast of satellite, ma lovokg Initial attitude, Ai- lookm final altitude, Af= 200km radius earrth, or 4= 6676 10-" Nm'lng? Initial Gudies of corrbit , riari Air final radius of orbit, ofare Ab The total energy of the satellite is - Gimm where mis mass of earth, m = 5.98x1024 kg : the energy that must be added to syö tem to move satellite into a cocular corbit is of altitude 200 km is, SE: GMM [-] DE- Gimme Shop - ster] - 667x10 " x 5.98*16 5.98*1024 103, 2 6370+100)+10 6370+200) Des 6.67% 10"'*5.98x10 > 2.352x10 2 2. 1 -9 24 x te J 16E-4.69x108J into Energy to be colded to syetem to move satellite circular orbit with altitude 2ookm is DE- 4.697108 J|