Show that the total energy E of an earth satellite of mass
Chapter 13, Problem 13.113(choose chapter or problem)
Show that the total energy E of an earth satellite of mass m describing an elliptic orbit is \(E=-G M m /\left(r_{A}+r_{P}\right)\), where M is the mass of the earth, and \(r_{A}\) and \(r_{P}\) represent, respectively, the maximum and minimum distances of the orbit to the center of the earth. (Recall that the gravitational potential energy of a satellite was defined as being zero at an infinite distance from the earth.)
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