Algorithms of the Numerical Simulation of the Motion of Satellites

  • Victor Avdyushev
  • Tatyana Bordovitsyna
Conference paper

Abstract

The paper presents efficient algorithms for the numerical simulation of motion as applied to natural satellites. These algorithms are based on using regularizing and stabilizing Kustaanheimo—Stiefel (KS) transformations (Stiefel and Scheifele, 1971).

Key words

natural satellites numerical methods Kustaanheimo—Stiefel transformations Encke-type algorithms 

References

  1. Stiefel, E. L. and Scheifele, G.: 1971, ‘Linear and Regular Celestial Mechanics’, Springer—Verlag, Berlin, Heidelberg, New York.Google Scholar
  2. Avdyushev, V. A.: 1999, ‘A New Intermediate Orbit in the Problem on the Motion of an Inner Satellite of an Oblate Planet’, Research in Ballistics and Contiguous Problems of Dynamics, Tomsk, 3, pp. 126–127 (in Russian).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Victor Avdyushev
    • 1
  • Tatyana Bordovitsyna
    • 1
  1. 1.Applied Mathematics and Mechanics InstituteTomskRussia

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