Mastering Perturbations in Near Circular Orbits: A Comprehensive Guide

AI Thread Summary
The discussion focuses on understanding small perturbations in near-circular orbits, specifically addressing a homework problem that has left the poster confused about how to begin. Key points include the need for relevant equations and strategies to tackle the problem, with a mention of using Taylor expansion of the exponential function to analyze perturbations. The poster expresses uncertainty about the initial steps required to solve the problem. Overall, the thread seeks guidance on approaching the complexities of orbital mechanics related to perturbations.
samjohnny
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Homework Statement



Attached.

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