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Algorithms of the Numerical Simulation of the Motion of Satellites

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Dynamics of Natural and Artificial Celestial Bodies

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).

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References

  • Stiefel, E. L. and Scheifele, G.: 1971, ‘Linear and Regular Celestial Mechanics’, Springer—Verlag, Berlin, Heidelberg, New York.

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  • 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).

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© 2001 Springer Science+Business Media Dordrecht

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Avdyushev, V., Bordovitsyna, T. (2001). Algorithms of the Numerical Simulation of the Motion of Satellites. In: Pretka-Ziomek, H., Wnuk, E., Seidelmann, P.K., Richardson, D.L. (eds) Dynamics of Natural and Artificial Celestial Bodies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1327-6_27

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  • DOI: https://doi.org/10.1007/978-94-017-1327-6_27

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5865-2

  • Online ISBN: 978-94-017-1327-6

  • eBook Packages: Springer Book Archive

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