Long-term evolution of Galileo operational orbits by canonical perturbation theory
- Lara, M. 1
- San-Juan, J.F. 2
- López-Ochoa, L.M. 2
- Cefola, P. 3
- 1 C/Columnas de Hercules 1, San Fernando, Spain
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2
Universidad de La Rioja
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3
University at Buffalo, State University of New York
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University at Buffalo, State University of New York
Búfalo, Estados Unidos
ISSN: 0094-5765
Year of publication: 2014
Volume: 94
Issue: 2
Pages: 646-655
Type: Article
beta Ver similares en nube de resultadosMore publications in: Acta Astronautica
Abstract
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.