In order better to map the surface features of the Moon, a 339-kg imaging satell

Question

     In order better to map the surface features of the Moon, a 339-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.45      In order better to map the surface features of the Moon, a 339-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.45      In order better to map the surface features of the Moon, a 339-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.45 In order better to map the surface features of the Moon, a 339-kg imaging satellite is put into circular orbit around the Moon at an altitude of 1.45

Explanation / Answer

v^2/r = GM/r^2

==> v = sqrt(GM/r) = sqrt(6.673e-11*7.36e22/(1.74e6+1.45e5)) = 1614.1

==> KE = 0.5 m v^2 = 0.5*339*1614.1*1614.1 = 4.4163e8 = 4.42 x 10^8 J

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GPE = -GMm/r = -6.673e-11*7.36e22*339/(1.74e6+1.45e5) = -8.8326e8 = -8.83 x 10^8 J

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Toe = 4.4163e8 - 8.8326e8 = -4.42 x 10^8 J

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