naa a22 4500 510809669 CHVBK 20180411083436.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1134/S1064230713060051 doi (NATIONALLICENCE)springer-10.1134/S1064230713060051 Optimal injection of a satellite into geostationary orbit using a limited number of thruster firings [Elektronische Daten] [A. Bortakovskii, A. Konovalova] The problem of optimal injection of a satellite into a geostationary orbit using a limited number of thruster firings is considered. It is formulated as an optimal control problem for a continuous-discrete system with automaton-type discrete part. The application of necessary optimality conditions reduces this problem to a finite-dimensional minimization problem. Taking into account the practical accuracy of executing the thruster firing and shutdown commands, the constrained minimization problem to be solved becomes discrete. Various flight sequences with the number of main engine firings not exceeding nine are investigated. Each sequence is optimized so as to minimize fuel consumption and find the optimal times of the engine firings and shutdowns. Parameters of the transfer orbits and deviations of the final orbit from the geostationary one are calculated. The results are compared with the scheme that is normally used in practice. Pleiades Publishing, Ltd., 2013 Bortakovskii A. Moscow Institute of Aviation, Volokolamskoe sh. 4, 125993, Moscow, Russia aut Konovalova A. Moscow Institute of Aviation, Volokolamskoe sh. 4, 125993, Moscow, Russia aut Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/6(2013-11-01), 938-948 1064-2307 52:6<938 2013 52 11488 https://doi.org/10.1134/S1064230713060051 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1064230713060051 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bortakovskii A. Moscow Institute of Aviation, Volokolamskoe sh. 4, 125993, Moscow, Russia aut NATIONALLICENCE 700 1- Konovalova A. Moscow Institute of Aviation, Volokolamskoe sh. 4, 125993, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/6(2013-11-01), 938-948 1064-2307 52:6<938 2013 52 11488 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer