Lagrangian planetary equations in Schwarzschild space--time
Mirco Calura, Enrico Montanari, Pierluigi Fortini (University of, Ferrara, INFN sezione di Ferrara, Italy)
TL;DR
This paper introduces a method extending classical Lagrangian planetary equations into general relativity to analyze perturbations in test particle motion within Schwarzschild spacetime, capturing relativistic effects exactly.
Contribution
It develops a novel relativistic extension of planetary equations for precise perturbation analysis in Schwarzschild spacetime.
Findings
Provides a natural approach to include relativistic effects
Enables exact treatment of unperturbed motion in general relativity
Facilitates analysis of perturbations in relativistic orbital dynamics
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.