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Lagrangian planetary equations in Schwarzschild space--time

Mirco Calura·Enrico Montanari·Pierluigi Fortini
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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.

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Mirco Calura, Enrico Montanari, Pierluigi Fortini. 1998-07-02. Lagrangian planetary equations in Schwarzschild space--time. https://doi.org/10.1088/0264-9381%2F15%2F10%2F015

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