Small perturbations to a circular orbit

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samjohnny
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Homework Statement



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Homework Equations





The Attempt at a Solution



Hi. This question has me really puzzled; I simply don't know where to start with this one and thus am not sure of any relevant equations. It seems to be a problem about small perturbations to the circular orbit of a body. I'm not sure of a strategy to pursue. Any help?

Thanks
 
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  • Typed problem statement: a particle of mass m moves under a central force F = -km e^(-εr/a)/r^2 r-hat, with k, a, ε positive constants, asking for the apsidal angle between r_min and r_max for a nearly circular orbit and the perihelion advance per revolution.
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With small perturbations and exponentials, I normally see the Taylor expansion of the exponential used to show properties.