Long-term evolution of Galileo operational orbits by canonical perturbation theory

  1. Lara, M. 1
  2. San-Juan, J.F. 2
  3. López-Ochoa, L.M. 2
  4. Cefola, P. 3
  1. 1 C/Columnas de Hercules 1, San Fernando, Spain
  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  3. 3 University at Buffalo, State University of New York
    info

    University at Buffalo, State University of New York

    Búfalo, Estados Unidos

    ROR https://ror.org/01y64my43

Zeitschrift:
Acta Astronautica

ISSN: 0094-5765

Datum der Publikation: 2014

Ausgabe: 94

Nummer: 2

Seiten: 646-655

Art: Artikel

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DOI: 10.1016/J.ACTAASTRO.2013.09.008 SCOPUS: 2-s2.0-84886243842 WoS: WOS:000328663500010 GOOGLE SCHOLAR

Andere Publikationen in: Acta Astronautica

Zusammenfassung

Galileo operational orbits are slightly affected by the 3 to 5 tesseral resonance, an effect that can be much more important in the case of disposal orbits. Proceeding by canonical perturbation theory we show that the part of the long-term Hamiltonian corresponding to the non-centralities of the Earth's gravitational potential can be replaced by an intermediary that shows the pendulum dynamics of the 3 to 5 tesseral resonance problem. Inclusion of lunisolar perturbations requires a semi-analytical integration, which is compared with the corresponding results from the well-established Draper Semi-analytical Satellite Theory. © 2013 IAA.