A STUDY OF TIME-OPTIMAL RENDEZVOUS IN THREE DIMENSIONS (VOL. I).
Final rept. 15 Apr 63-15 Apr 64,
AERONAUTICAL RESEARCH ASSOCIATES OF PRINCETON INC N J
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The results of a study of time optimal rendezvous in three dimensions with bounds on the rocket thrust and the available propellant are described. The equations of motion are linearized and Neustadts method is used to solve the two-point boundary value problem in the seven-dimensional state space. Three convergence acceleration schemes are studied. Examples of terminal rendezvous paths are presented and discussed in terms of the magnitudes of the bounds on thrust and fuel. The dependence of terminal errors on initial measurement errors in position and velocity is also discussed. The range of initial values include position errors up to 25 miles and relative velocity errors of 200 ftsec. The thrust accelerations of the rockets are on the order of 1 ftsec-sq the propellant bounds ideal characteristic velocities range between 600 ftsec and 250 ftsec. Author
- Spacecraft Trajectories and Reentry