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Analytical and semi-analytical investigations of geosynchronous space debris with high area-to-mass ratios |
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| Authors: | S Valk A Lemaître L Anselmo |
| Institution: | 1. University of Namur, Département de Mathématique, Unité de Systémes Dynamiques, 8, Rempart de la Vierge, B-5000 Namur, Belgium;2. Space Flight Dynamics Laboratory, Istituto di Scienza e Technologie dell’Informazione (ISTI), Consiglio delle Nazionale Ricerche (CNR), Via G. Moruzzi 1, 56124 Pisa, Italy |
| Abstract: | 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 analysis is based on an expansion in powers of the eccentricity and of the inclination, truncated at an arbitrary high order. |
| Keywords: | Space debris Long-term evolution Equilibria Non-singular variables Geosynchronous orbits Hamiltonian formalism Non-gravitational influence Radiation pressure High area-to-mass ratios |
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