Improved Solution of Optimal Impulsive FixedTime Rendezvous
Abstract
A linear approach to the minimumfuel problem of fixedtime multiimpulse rendezvous between vehicles on close circular orbits has proven to be simple and convenient. It deals with the linearized motion of the active vehicle relative to a reference point moving on a circular reference orbit. This paper shows that the normalized characteristic velocity is invariant with respect to each choice of reference orbit in the domain of normalized initial angular differencenormalized rendezvous time. Numerical examples are used to demonstrate the adaptability of linear solutions to the nonlinear case by means of a hybrid method. It is shown that the proposed mean velocity reference orbit more accurately describes the impulse locations and magnitudes than does the mean radius reference orbit.
 Publication:

Journal of Spacecraft and Rockets
 Pub Date:
 November 1982
 DOI:
 10.2514/3.62295
 Bibcode:
 1982JSpRo..19..521L
 Keywords:

 Circular Orbits;
 Fuel Consumption;
 Optimal Control;
 Orbital Rendezvous;
 Orbital Velocity;
 Equations Of Motion;
 Linearization;
 Specific Impulse;
 Time Dependence;
 Trajectory Optimization;
 Transfer Orbits;
 Astrodynamics