Synthesis of optimal trajectories of injection into orbit from any point of which descent into the atmosphere is possible without violation of prescribed restrictions

Details Synthesis of optimal trajectories of injection into orbit from any point of which descent into the atmosphere is possible without violation of prescribed restrictions Synthesis of optimal trajectories of injection into orbit from any point of which descent into the atmosphere is possible without violation of prescribed restrictions

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985kosis..23...37i&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 23, Jan.-Feb. 1985, p. 37-48. In Russian.

Mathematics

Descent Trajectories, Injection Guidance, Orbital Maneuvers, Reentry Guidance, Trajectory Optimization, Atmospheric Entry, Branching (Mathematics), Rocket Launching, Thrust Vector Control

Scientific paper

The paper examines the synthesis of optimal trajectories of orbital injection from any point of which the descent module can return to the atmosphere without violation of restrictions pertaining to dynamics and/or thermal loads. The problem is characterized by branching trajectories with an infinite number of branches in the inner points of which restrictions are imposed on the phase variables. The solution is obtained by the substitution of phase restrictions on the descent trajectory by equivalent restrictions on the thrust vector orientation in the current point of the injection trajectory. As an example, attention is given to the optimization of an injection trajectory from any point of which spacecraft descent is possible without a violation of the velocity-head restriction.

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