2. Target in circular orbit

Relative motion with respect to a target in circular orbit is described by the Hill-Clohessy-Wiltshire equations. The analytical solution of these equations for free motion makes it easy to define a preliminary rendezvous scenario.

2.1 Hill-Clohessy-Wiltshire equations

The vehicle M and the target C are modeled as material points in motion around an attracting body with center of mass O. Their positions are respectively $\vec{r} = \vec{OM}$ and

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Target in circular orbit

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Bibliography

(1) - CNES - Mécanique spatiale. - Cépadues CNES (1995).
(2) - BATTIN (R.) - An introduction to the mathematics and methods of astrodynamics. - AIAA (1999).
(3)...