A new gravitational effect of a deformed mass

Physics

Scientific paper

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Gravitational Effects, Gravitational Fields, Mass Distribution, Newton Theory, Relativistic Effects, Deformation, Differential Equations, Geodesy, Orbital Elements, Quadrupoles

Scientific paper

A new relativistic tidal effect of a deformed axisymmetric mass is described and the possibility of measuring it in an earth satellite is considered. The calculations show that the quadrupole moment of the earth causes a large secular relativistic contribution to the relative acceleration between two test masses placed in a satellite around the earth. Already after about 10 hours of observation this new relativistic effect would exceed the corresponding Newtonian quadrupole effect by a factor of 10.

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