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

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• 作者：Martin Lara ; Juan F. San-Juan ; Luis M. L贸pez-Ochoa ; Paul Cefola
• 关键词：Galileo orbits ; Tesseral resonances ; Averaging ; Intermediaries ; Semi-analytical satellite theory
• 刊名：Acta Astronautica
• 出版年：February, 2014
• 年：2014
• 卷：94
• 期：2
• 页码：646-655
• 全文大小：1485 K

文摘

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.