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

Zeitschrift:
Lecture Notes in Computer Science

ISSN: 0302-9743

Datum der Publikation: 2004

Ausgabe: 3039

Seiten: 327-334

Art: Artikel

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

Andere Publikationen in: Lecture Notes in Computer Science

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

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.