Long-term evolution of Galileo operational orbits by canonical perturbation theory |
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Authors: | Martin Lara Juan F San-Juan Luis M López-Ochoa Paul Cefola |
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Institution: | 1. C/Columnas de Hercules 1, San Fernando, Spain;2. Universidad de La Rioja, Logroño, Spain;3. University at Buffalo SUNY, Amherst, NY, USA |
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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. |
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Keywords: | Galileo orbits Tesseral resonances Averaging Intermediaries Semi-analytical satellite theory |
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