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Journal of Applied Mathematics
Volume 2012 (2012), Article ID 240459, 8 pages
http://dx.doi.org/10.1155/2012/240459
Research Article

Geodesic Effect Near an Elliptical Orbit

Department of Information Technology, Mathematics and Physics, Petroleum-Gas University of Ploiesti, Bulevardul Bucuresti 39, Ploiesti 100680, Romania

Received 12 September 2011; Revised 23 November 2011; Accepted 14 December 2011

Academic Editor: Livija Cveticanin

Copyright © 2012 Alina-Daniela Vîlcu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. De Sitter, “On Einstein's theory of gravitation, and its astronomical consequences,” Montly Notices, Royal Astronomical Society, vol. 77, pp. 155–184, 1916. View at Google Scholar
  2. J. A. Schouten, “On the arising of a Precession-motion owing to the non-Euclidian linear element,” Proceeding of Royal Academy of Amsterdam, vol. 21, pp. 533–539, 1918. View at Google Scholar
  3. A. D. Fokker, “The geodesic precession: a consequence of Einstein's theory of gravitation,” Proceeding of Royal Academy of Amsterdam, vol. 23, pp. 729–738, 1920. View at Google Scholar
  4. J. Chazy, La Théorie de la Relativité et la Méchanique Céleste, Tomes I et II, Gauthier-Villars, Paris, France, 1928–1930.
  5. B. M. Barker and R. F. O'Connell, “Derivation of the equations of motion of a gyroscope from the quantum theory of gravitation,” Physical Review D, vol. 2, no. 8, pp. 1428–1435, 1970. View at Publisher · View at Google Scholar
  6. V. A. Brumberg, Essential Relativistic Celestial Mechanics, Adam Hilger, London, UK, 1991. View at Zentralblatt MATH
  7. B. M. Barker and R. F. O'Connell, “Gravitational two-body problem with arbitrary masses, spins, and quadrupole moments,” Physical Review D, vol. 12, no. 2, pp. 329–335, 1975. View at Publisher · View at Google Scholar
  8. J. H. Chen and Y. J. Wang, “Geodetic precession in Schwarzschild spacetime surrounded by quintessence,” Chinese Physics Letters, vol. 24, no. 11, pp. 3063–3065, 2007. View at Publisher · View at Google Scholar
  9. S. Chen and J. Jing, “Geodetic precession and strong gravitational lensing in dynamical Chern-Simons-modified gravity,” Classical and Quantum Gravity, vol. 27, no. 22, p. 16, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  10. I. I. Haranas and M. Harney, “Geodetic precession of the spin in a non-singular gravitational potential,” Progress in Physics, vol. 1, pp. 75–80, 2008. View at Google Scholar
  11. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, W. H. Freeman, San Francisco, Calif, USA, 1973.
  12. B. O'Neill, Semi-Riemannian Geometry. With Applications to Relativity, vol. 103 of Pure and Applied Mathematics, Academic Press, New York, NY, USA, 1983.
  13. S. N. Gupta, “Einstein's and other theories of gravitation,” Reviews of Modern Physics, vol. 29, pp. 334–336, 1957. View at Publisher · View at Google Scholar · View at Zentralblatt MATH