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Orbital Anomalies

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References

  1. J. D. Anderson, P. A. Laing, E. L. Lau, A. S. Liu, M. M. Nieto, and S. G. Turyshev, Indication from Pioneer 10/11, Galileo, and Ulysses data of an apparent anomalous, weak, long-range acceleration, Phys. Rev. Lett. 81 (1998), 2858.

    Article  Google Scholar 

  2. J. D. Anderson, J. K. Campbell, J. E. Ekelund, J. Ellis, and J. F. Jordan, Indication from Pioneer 10/11, Anomalous orbital-energy changes observed during spacecraft flybys of Earth, Phys. Rev. Lett. 100 (2008), 091102.

    Article  Google Scholar 

  3. J. D. Anderson, P. A. Laing, E. L. Lau, A. S. Liu, M. M. Nieto, and S. G. Turyshev, Study of the anomalous acceleration of Pioneer 10 and 11, Phys. Rev. D 65 (2002), 082004.

    Article  Google Scholar 

  4. D. Bini, C. Cherubini, and B. Mashhoon, Vacuum C metric and the gravitational Stark effect, Phys. Rev. D 70 (2004), 044020.

    Article  MathSciNet  Google Scholar 

  5. J. Chazy, La théorie de la relativité et la mécanique céleste, Gauthier-Villars, Paris, 1930.

  6. T. Damour, M. Soffel, and C. Xu, General-relativistic celestial mechanics. IV. Theory of satellite motion, Phys. Rev. D 49, 2 (1994), 618-635.

    Article  MathSciNet  Google Scholar 

  7. F. Diacu and P. Holmes, Celestial Encounters—The Origins of Chaos and Stability, Princeton Univ. Press, Princeton, NJ, 1996.

    MATH  Google Scholar 

  8. A. Eddington and G.L. Clark, The problem of n bodies in general relativity theory, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 166 (1938), 465-475.

    Article  Google Scholar 

  9. A. Einstein, L. Infeld, and B. Hoffmann, The gravitational equations and the problem of motion, Ann. of Math. 39, 1 (1938), 65-100.

    Article  MathSciNet  Google Scholar 

  10. M. Hoskin, R. Taton, C. Wilson, and O. Gingerich, The general History of Astronomy. Cambridge Univ. Press, Cambridge, 1995.

    Google Scholar 

  11. C. Lämmerzahl, O. Preuss, and H. Dittus, Is the physics within the solar system really understood? arXiv:gr-qc/0604052v1, 11 Apr. 2006.

  12. T. Levi-Civita, The relativistic problem of several bodies, Amer. J. Math. 59, 1 (1937), 9–22.

    Article  MathSciNet  Google Scholar 

  13. T. Levi-Civita, Le problème des n corps en relativité générale, Gauthier-Villars, Paris, 1950; or the English translation: The n -body Problem in General Relativity, D. Reidel, Dordrecht, 1964.

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  1. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3P4, Canada

    Florin Diacu

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  1. Florin Diacu
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Diacu, F. Orbital Anomalies. Math Intelligencer 31, 45–49 (2009). https://doi.org/10.1007/s00283-008-9024-8

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