Physics
Scientific paper
Aug 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976cemec..14...91r&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 5th, Oberwolfach, West Germany, Aug. 24-30, 1975.) Celestial Mechani
Physics
1
Mathematical Programming, Optimal Control, Orbital Maneuvers, Trajectory Optimization, Transfer Orbits, Acceleration (Physics), Equations Of Motion, Fuel Consumption, Iterative Solution, Measure And Integration, Parameterization, Spacecraft Maneuvers, Thrust
Scientific paper
The problem of fuel optimal rendezvous and transfer maneuvers in a central gravitational field is considered. By using analytical results and a parametrization of the control functions, the original optimal control problem can be solved by a sequence of mathematical programming problems. After introducing KS-variables and piecewise-constant thrust accelerations, all necessary trajectory integrations are performed in closed form. This optimization procedure leads to a considerable reduction in computing time and allows the solution of a wide class of problems: The propulsion system may be thrust-limited or power-limited, one may consider rendezvous or transfer maneuvers with fixed or free final time. A numerical example for a 3-dimensional maneuver is included.
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