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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
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Target in circular orbit
Control laws
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