期刊
GENERAL RELATIVITY AND GRAVITATION
卷 35, 期 1, 页码 69-77出版社
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1021354928292
关键词
equation of motion; Schwarzschild spacetime
We apply Feynman's principle, The same equations have the same solutions, to Kepler's problem and show that Newton's dynamics in a properly curved 3-D space is identical with that described by Einstein's theory in the 3-D optical geometry of Schwarzschild's spacetime. For this reason, rather unexpectedly, Newton's formulae for Kepler's problem, in the case of nearly circular motion in a static, spherically spherical gravitational potential accurately describe strong field general relativistic effects, in particular vanishing of the radial epicyclic frequency at r = r(ms).
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