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Show that the total mechanical energy of a satellite (mass m) orbiting at a distance r from the center of the Earth (mass ME)

 

Show that the total mechanical energy of a satellite (mass m) orbiting at a distance r from the center of the Earth (mass ME) is E = 1 GMME 2 r if U = 0 at r = o. (b) Show that although friction causes the value of E to decrease slowly, kinetic energy must actu- ally increase if the orbit remains a circle.

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