Newtonian limit for a geodesic in a Schwarzschild field

Details Newtonian limit for a geodesic in a Schwarzschild field Newtonian limit for a geodesic in a Schwarzschild field

Sep 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978amjph..46..928h&link_type=abstract

American Journal of Physics, Volume 46, Issue 9, pp. 928-929 (1978).

Physics

Classical General Relativity, Relativity And Gravitation

Scientific paper

In the 19th century there were many attempts to explain the advance of the perihelion of Mercury by modifying the Newtonian potential by the addition of velocity-dependent terms. That such potentials did not give better results was due to the wrong choice of sign of the velocity term. This is demonstrated by showing that in a simple Newtonian limit for near-circular orbits the geodesic of a mass point in a Schwarzschild field may be expressed as motion in a velocity-dependent central potential. The sign of the velocity term is opposite to that arbitrarily assigned in the past.

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