Abstract
Total precession (geodetic precession and frame dragging) depends on the velocity of each source of gravitation, which means that it depends on the choice of the coordinate system. We consider the latter as an anomaly specifically in the Gravity Probe B experiment, we investigated it and solved this anomaly. Thus, we proved that if our present expression for the geodetic precession is correct, then the frame dragging should be 25% less than its predicted value.
[1] I. Ciufolini, E.C. Pavlis, Nature 431, 958 (2004) http://dx.doi.org/10.1038/nature0300710.1038/nature03007Search in Google Scholar
[2] L.I. Schiff, Proc. Nat. Acad. Sci. U.S.A. 46, 871 (1960) http://dx.doi.org/10.1073/pnas.46.6.87110.1073/pnas.46.6.871Search in Google Scholar
[3] R.J. Adler, A.S. Silbergleit, Int. J. Theor. Phys. 39, 1291 (2000) http://dx.doi.org/10.1023/A:100363882023410.1023/A:1003638820234Search in Google Scholar
[4] C.M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, New York, 1993) http://dx.doi.org/10.1017/CBO978051156424610.1017/CBO9780511564246Search in Google Scholar
[5] J.O. Dickey et al., Science 265, 482 (1994) http://dx.doi.org/10.1126/science.265.5171.48210.1126/science.265.5171.482Search in Google Scholar
[6] J.G. Williams, X.X. Newhall, J.O. Dickey, Phys. Rev. D 53, 6730 (1996) http://dx.doi.org/10.1103/PhysRevD.53.673010.1103/PhysRevD.53.6730Search in Google Scholar
[7] K. Nordtvedt, arXiv:gr-qc/0301024v1 Search in Google Scholar
[8] J.G. Williams, D.H. Boggs, J.O. Dickey, W.M. Folkner, In: R. Ruffini (Ed.), Marcel Grossmann Meeting IX On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, 2–8 July 2000, Rome, Italy (World Scientific, Singapore, 2000) 1797 Search in Google Scholar
[9] C.M. Will, Phys. Rev. D 67, 062003 (2003) http://dx.doi.org/10.1103/PhysRevD.67.06200310.1103/PhysRevD.67.062003Search in Google Scholar
[10] S. Buchman et al., Adv. Space Res. 25, 1177 (2000) http://dx.doi.org/10.1016/S0273-1177(99)00982-510.1016/S0273-1177(99)00982-5Search in Google Scholar
[11] K. Trenčevski, E.G. Celakoska, In: S.I. Ao (Ed.), Proceedings of the World Congress on Engineering 2009, 1–3 July 2009, London, U.K. (International Association of Engineers, Hong Kong, 2009) 1003 Search in Google Scholar
[12] K. Trenčevski, Tensor 53, 70 (1993) Search in Google Scholar
[13] K. Trenčevski, V. Balan, Journal of the Calcutta Mathematical Society 1, 165 (2005) Search in Google Scholar
[14] K. Trenčevski, E.G. Celakoska, In: C. Udriste (Ed.), International Conference Differential Geometry - Dynamical Systems - DGDS2007, 5–7 Oct. 2007, Bucharest, Romania (Geometry Balkan Press, Bucharest, 2008) 211 Search in Google Scholar
[15] K. Trenčevski, E.G. Celakoska, V. Balan, Int. J. Theor. Phys. (in press) Search in Google Scholar
© 2010 Versita Warsaw
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
