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Journal of Mathematical Sciences

, Volume 70, Issue 5, pp 1951–1955 | Cite as

Regularizing transformations in problems on optimal multiimpulse collisions

  • V. I. Gulyaev
  • V. L. Koshkin
  • A. B. Vasil'ev
Optimization, Control and Stability of Dynamical Systems
  • 10 Downloads

Abstract

A method of constructing the optimal impulse collision, with respect to the total characteristic velocity, of two mass points moving in a central force field along trajectories passing near an attracting center is given. Some numerical results are mentioned.

Keywords

Force Field Mass Point Characteristic Velocity Central Force Optimal Impulse 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    Laion and Hendelsman, “Basis-vector for impulse trajectories with fixed time,” Rocket Technology and Astronautics,6, No. 1, 158–160 (1968).Google Scholar
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    E. L. Stiefel and G. Scheifele, Linear and Regular Celestial Mechanics, Springer-Verlag, Berlin-New York (1971).Google Scholar
  3. 3.
    E. Everhart, Efficient Integrator of Very High Order and Accuracy with Appendix Listing of RADAU, University of Denver, Denver (1974).Google Scholar
  4. 4.
    B. D. Tapley, V. Szebehely, and A. T. Lewallen, “Trajectory optimization using regularized variables,” AIAA J., No. 6, 1010–1017 (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • V. I. Gulyaev
    • 1
  • V. L. Koshkin
    • 1
  • A. B. Vasil'ev
    • 1
  1. 1.Kiev Engineering-Construction InstituteUSSR

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