A web of secondary resonances for large <Emphasis Type="Italic">A</Emphasis>/<Emphasis Type="Italic">m</Emphasis> geostationary debris |
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| Authors: | A Lemaître N Delsate S Valk |
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| Institution: | (1) Department of Mathematics, University of Namur, Rempart de la Vierge 8, 5000 Namur, Belgium |
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| Abstract: | The dynamics of space debris with very high A/m near the geostationary orbit is dominated by the gravitational coefficient C
22 and the solar radiation pressure. An analysis of the stability of the orbits by the chaos indicator MEGNO and frequency analysis map FAM shows chaotic layers around the separatrix and reveals a web of sub-structures associated to resonances with the annual period
of the Sun. This succession of stable thin islands and chaotic layers can be reproduced and explained by a quite simple toy
model, based on a pendulum approach, perturbed, through the eccentricity, by the external (Sun) frequency. The use of suitable
action-angle variables in the circulation and libration regions of the pendulum allows to point out new resonances between
the geostationary libration angle and the Sun’s longitude. They correspond very well (positions, shape, width) to the structures
visible on the FAM representations. |
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| Keywords: | Geostationary debris Space debris Secondary resonance Analytical model |
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