Skip to main content
Log in

Optimization of transfers under constraints on the thrust direction: I

  • Published:
Cosmic Research Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. 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 

  2. Lauden, D.F., Optimal Trajectories for Space Navigation, London, 1963. Translated under the title Optimal’nye traektorii dlya kosmicheskoi navigatsii, Moscow: Mir, 1966.

  3. Rockafellar, R.T., Convex Analysis, Princeton: Princeton Univ., 1970. Translated under the title Vypuklyi analiz, Moscow: Mir, 1973.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Sukhanov.

Additional information

Original Russian Text © A.A. Sukhanov, A.F.B. de A. Prado, 2007, published in Kosmicheskie Issledovaniya, 2007, Vol. 45, No. 5, pp. 443–449.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sukhanov, A.A., Prado, A.F.B.d.A. Optimization of transfers under constraints on the thrust direction: I. Cosmic Res 45, 417–423 (2007). https://doi.org/10.1134/S0010952507050061

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0010952507050061

PACS

Navigation