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


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.


Force Field Mass Point Characteristic Velocity Central Force Optimal Impulse 
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Literature cited

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    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
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    E. Everhart, Efficient Integrator of Very High Order and Accuracy with Appendix Listing of RADAU, University of Denver, Denver (1974).Google Scholar
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    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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