Geodesic Effect Near an Elliptical Orbit

Alina-Daniela Vîlcu

doi:10.1155/2012/240459

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Home > Journals > J. Appl. Math. > Volume 2012 > Article

2012 Geodesic Effect Near an Elliptical Orbit

Alina-Daniela Vîlcu

J. Appl. Math. 2012: 1-8 (2012). DOI: 10.1155/2012/240459

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Abstract

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.