A particle moves in a force field described by the Yukowa potential V (r) = −k/r exp(−r/a) where k and a are positive.  Show that if the orbit is nearly circular, the apsides will advance approximately by πρ/a per revolution, where ρ is the radius of the circular orbit

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A particle moves in a force field described by the Yukowa potential


V (r) = −k/r exp(−r/a)


where k and a are positive.  Show that if the orbit is nearly circular, the apsides will advance approximately by πρ/a per revolution, where ρ is the radius of the circular orbit.

 

 

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