## Monday, September 22, 2008

### Irodov Problem 1.218

For a stable circular orbit the centripetal acceleration is provided by the gravitational force and so we have,

For two orbits at r and the relative angular velocity of one satellite with respect to the other is given by,

The above uses Taylor's expansion series. In other words the time taken for the satellites to come periodically approach their minimum distance is given by,

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