A perturbation solution of the main problem in artificial satellite theory

Approved for public release, distribution unlimited === The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is u...

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Main Author:	Sagovac, Christopher Patrick.
Other Authors:	Danielson, Donald A.
Language:	en_US
Published:	Monterey, California. Naval Postgraduate School 2013
Online Access:	http://hdl.handle.net/10945/30662

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spelling	ndltd-nps.edu-oai-calhoun.nps.edu-10945-306622015-01-26T15:55:35Z A perturbation solution of the main problem in artificial satellite theory Sagovac, Christopher Patrick. Danielson, Donald A. Frensen, Christopher L. Naval Postgraduate School (U.S.) Applied Mathematics Approved for public release, distribution unlimited The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time. 2013-04-11T22:14:54Z 2013-04-11T22:14:54Z 1990-06 Thesis http://hdl.handle.net/10945/30662 en_US This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, it may not be copyrighted. Monterey, California. Naval Postgraduate School
collection	NDLTD
language	en_US
sources	NDLTD
description	Approved for public release, distribution unlimited === The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time.
author2	Danielson, Donald A.
author_facet	Danielson, Donald A. Sagovac, Christopher Patrick.
author	Sagovac, Christopher Patrick.
spellingShingle	Sagovac, Christopher Patrick. A perturbation solution of the main problem in artificial satellite theory
author_sort	Sagovac, Christopher Patrick.
title	A perturbation solution of the main problem in artificial satellite theory
title_short	A perturbation solution of the main problem in artificial satellite theory
title_full	A perturbation solution of the main problem in artificial satellite theory
title_fullStr	A perturbation solution of the main problem in artificial satellite theory
title_full_unstemmed	A perturbation solution of the main problem in artificial satellite theory
title_sort	perturbation solution of the main problem in artificial satellite theory
publisher	Monterey, California. Naval Postgraduate School
publishDate	2013
url	http://hdl.handle.net/10945/30662
work_keys_str_mv	AT sagovacchristopherpatrick aperturbationsolutionofthemainprobleminartificialsatellitetheory AT sagovacchristopherpatrick perturbationsolutionofthemainprobleminartificialsatellitetheory
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A perturbation solution of the main problem in artificial satellite theory

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