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Question: in solving the twobody problem with gravity as the central...

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(2) rbits: In solving the two-body problem with gravity as the central force, one arrives at the following differential equation for the reduced mass, A, d2 (1) F(r) (2) where O S S 2w is the azimuthal angle, r is the relative distance between masses, e is the angular moment, and F(r) K/ is the gravitational force r2 (a) Use the definition u 1/r to rewrite Eq. 2, and then solve the resulting differential equation. Answer: The solution to the homogeneous equation is u A o) where a is a phase related to the initial position. (b) From your answer for obtain an expression for r(s), which describes an ellipse. u
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