Geodesic Effect Near an Elliptical Orbit

Geodesic Effect Near an Elliptical Orbit

Using a differential geometric treatment, we analytically derived the expression for De Sitter (geodesic) precession in the elliptical motion of the Earth through the gravitational field of the Sun with Schwarzschild's metric. The expression obtained in this paper in a simple way, using a class...

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Main Author: Alina-Daniela Vîlcu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/240459
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spelling doaj-f4a21912eec841759e4b42c0e6c129ea2020-11-24T21:36:21ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/240459240459Geodesic Effect Near an Elliptical OrbitAlina-Daniela Vîlcu0Department of Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bulevardul Bucuresti 39, Ploiesti 100680, RomaniaUsing a differential geometric treatment, we analytically derived the expression for De Sitter (geodesic) precession in the elliptical motion of the Earth through the gravitational field of the Sun with Schwarzschild's metric. The expression obtained in this paper in a simple way, using a classical approach, agrees with that given in B. M. Barker and R. F. O'Connell (1970, 1975) in a different setting, using the tools of Newtonian mechanics and the Euler-Lagrange equations.http://dx.doi.org/10.1155/2012/240459
collection DOAJ
language English
format Article
sources DOAJ
author Alina-Daniela Vîlcu
spellingShingle Alina-Daniela Vîlcu
Geodesic Effect Near an Elliptical Orbit
Journal of Applied Mathematics
author_facet Alina-Daniela Vîlcu
author_sort Alina-Daniela Vîlcu
title Geodesic Effect Near an Elliptical Orbit
title_short Geodesic Effect Near an Elliptical Orbit
title_full Geodesic Effect Near an Elliptical Orbit
title_fullStr Geodesic Effect Near an Elliptical Orbit
title_full_unstemmed Geodesic Effect Near an Elliptical Orbit
title_sort geodesic effect near an elliptical orbit
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description Using a differential geometric treatment, we analytically derived the expression for De Sitter (geodesic) precession in the elliptical motion of the Earth through the gravitational field of the Sun with Schwarzschild's metric. The expression obtained in this paper in a simple way, using a classical approach, agrees with that given in B. M. Barker and R. F. O'Connell (1970, 1975) in a different setting, using the tools of Newtonian mechanics and the Euler-Lagrange equations.
url http://dx.doi.org/10.1155/2012/240459
work_keys_str_mv AT alinadanielavilcu geodesiceffectnearanellipticalorbit
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