Resonance effects in the GPS and GALILEO constellations: comparisons over 2 centuries.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

Orbits of the satellites of the GPS and GALILEO constellations are resonant. This is due to a commensurability between the period of revolution of the satellites and of the Earth: for the GPS satellites, terms of order 2 of the gravity field are resonant, whereas terms of order 5 are resonant for the GALILEO ones. It is worth studying these resonant effects for, at least, two reasons. On a short time scale, they breed various kinds of maneuvers to be applied to each satellite to maintain the initial configuration. On long time scales, they breed large variations of the orbital parameters, which question the evolution of a given orbit after the end of life of the corresponding satellite. In this talk, we will present the effects of resonant parameters of the gravity field, and we will quantify them for the GPS and GALILEO constellations computed over 2 centuries. In particular, we will show the strong influence of the Moon and Sun on the stability of these orbits.

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