Epicyclic orbital oscillations in Newton's and Einstein's dynamics

Details Epicyclic orbital oscillations in Newton's and Einstein's dynamics Epicyclic orbital oscillations in Newton's and Einstein's dynamics

2002-06-20

arxiv.org/abs/gr-qc/0206063v1

Gen.Rel.Grav. 35 (2003) 69-77

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

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 the marginally stable orbit.

Affiliated with

Also associated with

No associations

Rating

Epicyclic orbital oscillations in Newton's and Einstein's dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Epicyclic orbital oscillations in Newton's and Einstein's dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Epicyclic orbital oscillations in Newton's and Einstein's dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-329950