Accession Number : AD0261386

Title :   DERIVATION OF WEBER'S POTENTIAL FROM THE EQUATIONS OF A GEODESIC IN A SCHWARZSCHILD FIELD

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y

Personal Author(s) : HARVEY,A.L.

Report Date : 01 AUG 1961

Pagination or Media Count : 1

Abstract : Prior to the present day general acceptance of Einstein's general theory of relativity as a reasonable basis for explaining the advance in the perihelion of Mercury there were many attempts to explain this apparent anomaly on the basis of velocity dependent potentials. Prominent among these tried was Weber's electrodynamic potential V is similar to 1/r (1 + v squared/c squar d). That such potentials gave better results than the bare Newtonian potential is not fortuitous. In fact, Weber's potential is derivable from th equations of a geodesic in a Schwarzschild field. This is accomplished by reducing the set of equations for the geodesic to one equation in r and interpreting the equation as an e pression of Newton's second law, F equals ma. From the terms identified as comprising F, Weber's potential is readily obtained. (Author)

Descriptors :   *CELESTIAL MECHANICS, *GEODESICS, ASTRONOMY, ELECTROMAGNETIC FIELDS, EQUATIONS, MERCURY, MOTION, POTENTIAL THEORY, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE