Novel Expressions of Equations of Relative Motion and Control in Keplerian Orbits

Abstract : In this Note, the relative motion between two spacecraft is studied with emphasis on physical insights. The full equations of relative motion in Keplerian orbits are converted into the general form of a second-order differential equation, and then feedback control laws are proposed for different control objectives. Besides the control laws presented in this Note, other various control design methods, which have already been developed for other applications (such as robot manipulator or spacecraft control), can also be easily applied for the relative motion control, thanks to the use of the generic form.

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