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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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/240459 |
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| _version_ | 1832566653844455424 |
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| author | Alina-Daniela Vîlcu |
| author_facet | Alina-Daniela Vîlcu |
| author_sort | Alina-Daniela Vîlcu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f4a21912eec841759e4b42c0e6c129ea |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f4a21912eec841759e4b42c0e6c129ea2025-02-03T01:03:34ZengWileyJournal 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 |
| spellingShingle | Alina-Daniela Vîlcu Geodesic Effect Near an Elliptical Orbit Journal of Applied Mathematics |
| title | 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_short | Geodesic Effect Near an Elliptical Orbit |
| title_sort | geodesic effect near an elliptical orbit |
| url | http://dx.doi.org/10.1155/2012/240459 |
| work_keys_str_mv | AT alinadanielavilcu geodesiceffectnearanellipticalorbit |