Mastering Perturbations in Near Circular Orbits: A Comprehensive Guide

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samjohnny
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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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With small perturbations and exponentials, I normally see the Taylor expansion of the exponential used to show properties.