Geodetic Precession of the Spin in a Non-Singular Gravitational Potential
|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|
|Journal||Progress In Physics|
|No. of pages||6|
Read the full paper here
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.