Survey of modern state and discussion of problems of the perfection of methods of investigation of variational problems with a focus on mechanics of space flight are presented. The main attention is paid to the enhancement of the methods of solving of variational problems of rocket motion in the gravitational fields, including rocket motion in the atmosphere. These problems are directly connected with the permanently actual problem of the practical astronautics to increase the payload that is orbited by the carrier rockets in the circumplanetary orbits. An analysis of modern approaches to solving the problems of control of rockets and spacecraft motion on the trajectories with singular arcs that are optimal for the motion of the variable mass body in the medium with resistance is given. The presented results for some maneuvers can serve as an information source for decision making on designing promising rocket and space technology
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Translated from Prikladnaya Mekhanika, Vol. 53, No. 3, pp. 3–62, May–June, 2017.
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Kiforenko, B.N. Singular Optimal Controls of Rocket Motion (Survey). Int Appl Mech 53, 237–286 (2017). https://doi.org/10.1007/s10778-017-0809-3
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DOI: https://doi.org/10.1007/s10778-017-0809-3