Cosmic Research

, Volume 45, Issue 5, pp 417–423 | Cite as

Optimization of transfers under constraints on the thrust direction: I



Transfers with a low thrust are considered under constraints imposed on the thrust vector direction. These constraints can be caused by peculiarities of the attitude control system and the mode of stabilization of a spacecraft, and, in the general case, they are functions of the time and state vector. The constraints specified by equalities and inequalities are investigated. It is shown that the optimal thrust is directed along the projection of the Lawden’s primer vector onto the restricting set.




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    Pontryagin, S.L., Boltyanskii, V.G., Gamkrelidze, R.V., and Mishchenko, E.F., Matematicheskaya teoriya optimal’nykh protsessov (Mathematical Theory of Optimal Processes), Moscow: Nauka, 1969.Google Scholar
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    Lauden, D.F., Optimal Trajectories for Space Navigation, London, 1963. Translated under the title Optimal’nye traektorii dlya kosmicheskoi navigatsii, Moscow: Mir, 1966.Google Scholar
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    Rockafellar, R.T., Convex Analysis, Princeton: Princeton Univ., 1970. Translated under the title Vypuklyi analiz, Moscow: Mir, 1973.MATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Space Research InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Instituto Nacional de Pesquisas Espaciais (INPE)Sao Jose dos CamposBrazil

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