Lagrangian planetary equations in Schwarzschild space--time
General Relativity and Quantum Cosmology
2009-10-31 v1 Astrophysics
Abstract
We have developed a method to study the effects of a perturbation to the motion of a test point--like object in a Schwarzschild spacetime. Such a method is the extension of the Lagrangian planetary equations of classical celestial mechanics into the framework of the full theory of general relativity. The method provides a natural approach to account for relativistic effects in the unperturbed problem in an exact way.
Cite
@article{arxiv.gr-qc/9807007,
title = {Lagrangian planetary equations in Schwarzschild space--time},
author = {Mirco Calura and Enrico Montanari and Pierluigi Fortini},
journal= {arXiv preprint arXiv:gr-qc/9807007},
year = {2009}
}
Comments
7 pages; revtex; accepted for publication in Class. Quantum Grav