Earth mass = M Mech 3. A satellite of mass m is in an elliptical orbit around the Earth, which has mass M. and radius Re. The orbit varies from closest approach of a at pointA to maximum distance of b from the center of the Earth at point B. At point A, the speed of the satellite is vo Assume that the gravitational potential energy Ug = 0 when masses are an infinite distance apart. Express your answers in terms of a, b, m, Me, Re, Do, and G. (a) Write the appropriate definite integral, including limits, that can be evaluated to show that the potential energy of the satellite when it is a distancer from the center of the Earth is given bý -GMm Ug =

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Earth
B
mass = M.
Mech 3. A satellite of mass m is in an elliptical orbit around the Earth, which has mass Me and radius Re. The
orbit varies from closest approach of a at point A to maximum distance of b from the center of the
Earth at point B. At point A, the speed of the satellite is vo Assume that the gravitational potential
energy Ug = 0 when masses are an infinite distance apart. Express your answers in terms of
a, b, m, Me, Re, vo and G.
%3D
(a) Write the appropriate definite integral, including limits, that can be evaluated to show that the
potential energy of the satellite when it is a distance r from the center of the Earth is given bý
-GMem
Ug =
Transcribed Image Text:Earth B mass = M. Mech 3. A satellite of mass m is in an elliptical orbit around the Earth, which has mass Me and radius Re. The orbit varies from closest approach of a at point A to maximum distance of b from the center of the Earth at point B. At point A, the speed of the satellite is vo Assume that the gravitational potential energy Ug = 0 when masses are an infinite distance apart. Express your answers in terms of a, b, m, Me, Re, vo and G. %3D (a) Write the appropriate definite integral, including limits, that can be evaluated to show that the potential energy of the satellite when it is a distance r from the center of the Earth is given bý -GMem Ug =
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