Analytical second-order drag theory with application for lifetime determination of artificial satellites in low earth orbits

A second-order atmospheric drag theory based on the usage of TD88 model is constructed. It is developed to the second order in terms of TD88 small parameters K n, j . The short periodic perturbations, of all orbital elements, are evaluated. The secular perturbations of the semi-major axis and of the...

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Bibliographic Details
Published in:Applied mathematics and computation 2005-12, Vol.171 (2), p.948-971
Main Authors: El-Salam, F.A. Abd, Sehnal, L.
Format: Article
Language:English
Subjects:
Drag perturbations
Exact sciences and technology
Global analysis, analysis on manifolds
Low earth orbits
Mathematics
Satellite lifetime
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:A second-order atmospheric drag theory based on the usage of TD88 model is constructed. It is developed to the second order in terms of TD88 small parameters K n, j . The short periodic perturbations, of all orbital elements, are evaluated. The secular perturbations of the semi-major axis and of the eccentricity are obtained. The theory is applied to determine the lifetime of the satellites in the low Earth orbits, e.g. ROHINI (1980 62A), and to predict the lifetime of the microsatellite MIMOSA. The secular perturbations of the nodal longitude and of the argument of perigee due to the Earth’s gravity are taken into account up to the second order in Earth’s oblateness.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.02.001