Analytical theory of motion of a Mars orbiter

  1. San Juan, J.F. 1
  2. Serrano, S. 2
  3. Abad, A. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revue:
Lecture Notes in Computer Science

ISSN: 0302-9743

Année de publication: 2004

Volumen: 3039

Pages: 327-334

Type: Article

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SCOPUS: 2-s2.0-35048823427 WoS: WOS:000223079700042 GOOGLE SCHOLAR

D'autres publications dans: Lecture Notes in Computer Science

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Résumé

The design of spatial missions to Mars requires the development of analytical theories in order to put artificial satellites in orbit around Mars. In this paper, we present a complete third order analytical model of a satellite perturbed by the zonal J 2,...,J 6 harmonics of the Mars potential. Two Lie transformations, the elimination of the Parallax and the elimination of the Perigee, and the Krylov-Bogoliubov-Mitropolsky method are applied to obtain a complete integration of the model. The algebraic expressions of the generators, the Hamiltonians and the integrals, together with a software code to compute the ephemeris of the satellite, are automatically obtained using our computer algebra system ATESAT. © Springer-Verlag Berlin Heidelberg 2004.