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2012 Geodesic Effect Near an Elliptical Orbit
Alina-Daniela Vîlcu
J. Appl. Math. 2012: 1-8 (2012). DOI: 10.1155/2012/240459


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.


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Alina-Daniela Vîlcu. "Geodesic Effect Near an Elliptical Orbit." J. Appl. Math. 2012 1 - 8, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1243.83020
MathSciNet: MR2880858
Digital Object Identifier: 10.1155/2012/240459

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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