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.

    Highlights We model the 5:3 tesseral resonance affecting Galileo with an integrable intermediary. We derive a Hamiltonian describing the long-term behavior of orbits in MEO region. Numeric experiments show the influence of the value moon's RAAN minus Galileo's RAAN. Tests carried out with Draper DSST confirm predictions with the long-term Hamiltonian.


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    Title :

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


    Contributors:

    Published in:

    Acta Astronautica ; 94 , 2 ; 646-655


    Publication date :

    2013-09-19


    Size :

    10 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English