Relativity and Cosmology


Geodetic Precession of the Spin in a Non-Singular Gravitational Potential

Authors: Ioannis Iraklis Haranas, Michael Harney

Using a non-singular gravitational potential which appears in the literature we analytically derived and investigated the equations describing the precession of a body's spin orbiting around a main spherical body of mass M. The calculation has been performed using a non-exact Schwarzschild solution, and further assuming that the gravitational field of the Earth is more than that of a rotating mass. General theory of relativity predicts that the direction of the gyroscope will change at a rate of 6.6 arcsec/year for a gyroscope in a 650 km high polar orbit. In our case a precession rate of the spin of a very similar magnitude to that predicted by general relativity was calculated resulting to a ΔSgeo/Sgeo =-5.570*10-2

Comments: 6 pages, Published, Progress in Physics, vol. pp. 1-5, 2008

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Submission history

[v1] 12 Feb 2010

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