Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium
The orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations. The short periodic perturbations due to the geopotential of all orbital elements are evaluated. And to...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/489849 |
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doaj-481e3c9cd4ac4eb6b4477b73027ea08b2020-11-24T23:20:34ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/489849489849Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting MediumS. E. Abd El-Bar0F. A. Abd El-Salam1Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madina-Al Munawwarah, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Taibah University, Al-Madina-Al Munwwarah, Saudi ArabiaThe orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations. The short periodic perturbations due to the geopotential of all orbital elements are evaluated. And to construct a second-order analytical theory, the equations of motion become very complicated to be integrated analytically; thus we are forced to integrate them numerically using the method of Runge-Kutta of fourth order. The validity of the theory is checked on the already decayed Indian satellite ROHINI where its data are available.http://dx.doi.org/10.1155/2012/489849 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. E. Abd El-Bar F. A. Abd El-Salam |
| spellingShingle |
S. E. Abd El-Bar F. A. Abd El-Salam Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium Journal of Applied Mathematics |
| author_facet |
S. E. Abd El-Bar F. A. Abd El-Salam |
| author_sort |
S. E. Abd El-Bar |
| title |
Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium |
| title_short |
Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium |
| title_full |
Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium |
| title_fullStr |
Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium |
| title_full_unstemmed |
Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium |
| title_sort |
analytical and semi-analytical treatment of the satellite motion in a resisting medium |
| publisher |
Hindawi Limited |
| series |
Journal of Applied Mathematics |
| issn |
1110-757X 1687-0042 |
| publishDate |
2012-01-01 |
| description |
The orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations. The short periodic perturbations due to the geopotential of all orbital elements are evaluated. And to construct a second-order analytical theory, the equations of motion become very complicated to be integrated
analytically; thus we are forced to integrate them numerically using the method of Runge-Kutta of fourth order. The validity of the theory is checked on the already decayed Indian satellite ROHINI where its data are available. |
| url |
http://dx.doi.org/10.1155/2012/489849 |
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