Difference between revisions of "Geodetic Precession of the Spin in a Non-Singular Gravitational Potential"
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− | 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 (Delta)S<sub>geo</sub> / Sgeo = -5.570x10<sup>-2</sup>. | + | 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 (Delta)S<sub>geo</sub> / Sgeo = -5.570x10<sup>-2</sup>. |
− | [[Category:Gravity]] | + | [[Category:Scientific Paper|geodetic precession spin non-singular gravitational potential]] |
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+ | [[Category:Gravity|geodetic precession spin non-singular gravitational potential]] |
Latest revision as of 19:34, 1 January 2017
Scientific Paper | |
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Title | Geodetic Precession of the Spin in a Non-Singular Gravitational Potential |
Read in full | Link to paper |
Author(s) | Michael Harney, Ioannis Iraklis Haranas |
Keywords | {{{keywords}}} |
Published | 2008 |
Journal | Progress In Physics |
Volume | 1 |
No. of pages | 6 |
Pages | 75-80 |
Read the full paper here
Abstract
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 (Delta)Sgeo / Sgeo = -5.570x10-2.