Optimal impulsive trajectory rendezvous by mathematical programming

Details Optimal impulsive trajectory rendezvous by mathematical programming Optimal impulsive trajectory rendezvous by mathematical programming

May 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cmame..11..165g&link_type=abstract

Computer Methods in Applied Mechanics and Engineering, vol. 11, May 1977, p. 165-174.

Statistics

Computation

Fuel Consumption, Mathematical Programming, Optimal Control, Orbital Rendezvous, Spacecraft Trajectories, Trajectory Optimization, Convergence, Flyby Missions, Gradients, Impulses, Interplanetary Trajectories, Orbital Position Estimation, Specific Impulse, Synchronous Satellites

Scientific paper

This paper describes a mathematical programming approach to the computation of fuel-optimal trajectories for orbital rendezvous. The optimization technique is based on gradient projection implementation of variable metric descent relative to an augmented Lagrangian. Rapid convergence to constrained minima from crude initial estimates has been obtained for a variety of near earth and interplanetary orbital rendezvous missions. Examples include optimal fly-by of Comet Encke and positioning of a geostationary satellite.

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