paper

Lagrangian planetary equations in Schwarzschild space--time

arXiv:gr-qc/9807007 · doi:10.1088/0264-9381/15/10/015

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.

7 pages; revtex; accepted for publication in Class. Quantum Grav

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