Investigation of the instability of graveyard orbits due to the Earth's gravitational perturbations.

Physics

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Scientific paper

The Banach theorem is applied to the Lagrange planetary equation for the semimajor axis of a geostationary satellite orbit to estimate the stability of near-geostationary satellite orbits. To achieve a graveyard (disposal) orbit, which will not interfere (=cross) the "initial" geostationary orbit, the geostationary semi-major axis ag have to be increased at least by 50 km. Numerical results for a variety of graveyard orbits show that the increase of ag by about 100 km will yield "sufficiently stable" orbits (accounting for the Earth's gravitational perturbations only) during the next 150 years.

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