Analytical considerations of space debris with high area-to-mass ratios located near the GEO region

Astronomy and Astrophysics – Astrophysics

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Scientific paper

This paper provides a hamiltonian formulation of the averaged equations of motion with respect to short periods (1 day) of a space debris subjected to direct solar radiation pressure and orbiting near the geostationary ring. This theory is based on a semi-analytical theory of order 1 regarding the averaging process, formulated using canonical and non-singular elements for eccentricity and inclination. The dynamical evolution of space debris released near the geostationary ring, with area-to-mass ratios (A/m) as high as 40 m^2/kg is analyzed within the framework of mid-term evolution (˜ 1 year) as well as long-term evolution (several decades). We also analyze the coupling equations between the eccentricity and the inclination, considering a doubly averaged analytical model.

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