Solved: A satellite describes an elliptic orbit about a
Chapter 13, Problem 13.192(choose chapter or problem)
A satellite describes an elliptic orbit about a planet of mass M. The minimum and maximum values of the distance r from the satellite to the center of the planet are, respectively, \(r_{0}\) and \(r_{1}\). Use the principles of conservation of energy and conservation of angular momentum to derive the relation
\(\frac{1}{r_{0}}+\frac{1}{r_{1}}=\frac{2 G M}{h^{2}}\)
where h is the angular momentum per unit mass of the satellite and G is the constant of gravitation.
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