Lagrangian planetary equations in Schwarzschild space--time

Details Lagrangian planetary equations in Schwarzschild space--time Lagrangian planetary equations in Schwarzschild space--time

1998-07-02

arxiv.org/abs/gr-qc/9807007v1

Class.Quant.Grav. 15 (1998) 3121-3129

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1088/0264-9381/15/10/015

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.

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