Construction of the function to be minimized for power-optimal multi-impulse transfers

Details Construction of the function to be minimized for power-optimal multi-impulse transfers Construction of the function to be minimized for power-optimal multi-impulse transfers

Jul 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977kosis..15..626u&link_type=abstract

Kosmicheskie Issledovaniia, vol. 15, July-Aug. 1977, p. 626, 627. In Russian.

Physics

Orbital Mechanics, Trajectory Optimization, Transfer Orbits, Fuel Tanks, Propellant Mass Ratio, Rocket Thrust, Specific Impulse, Stage Separation

Scientific paper

In the approach proposed, the powered phases of a transfer trajectory are approximated by points at which the magnitude of the velocity vector changes instantaneously under the action of an impulse which, in its turn, approximates the action of the thrust during a powered phase. In addition to simplifying the problem, this approach makes it possible to reduce the determination of the optimal transfer trajectory to the minimization of a function of many variables. A solution thus obtained provides good estimates of the fuel consumption.

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