Optimal control during orbital rendezvous

Physics

Scientific paper

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Optimal Control, Orbital Rendezvous, Spacecraft Control, Spacecraft Orbits, Trajectory Optimization, Circular Orbits, Spacecraft Motion

Scientific paper

The paper examines the coplanar rendezvous of a maneuvering spacecraft with a passive spacecraft in a circular orbit. It is assumed that a control acceleration of limited magnitude is imposed on the active spacecraft, and that its direction changes in accordance with a fuel-optimal control law. An analytical solution is sought for the corresponding variational problem in a finite form, with specified constraints on the rendezvous time. An optimal relationship is obtained for changes of the tangent of the angle of the control-acceleration vector in the form of a fractional-linear function of time.

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