Physics
Scientific paper
Oct 1955
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1955rspsa.232..135r&link_type=abstract
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 232, Issue 1188, pp. 135-148
Physics
2
Scientific paper
The Whitehead gravitation tensor for the exterior field due to a finite, uniform rotating sphere is evaluated in closed form. The advance of perihelion of an equatorial orbit is then calculated, making no assumption as to the smallness of the angular velocity of the central sphere. Finally, the perturbing forces on the Newtonian elliptical orbit due to rotation of the central sphere are determined with neglect of the square of this angular velocity. It is remarkable that the results of the present paper based on Whitehead's theory agree very closely with those obtained by Lense & Thirring (1918) using Einstein's linearized law of gravitation. In fact, for a homogeneous sphere, it is impossible to distinguish between the results in the two theories, to the order of approximation considered.
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