Simple precession calculation for Mercury: a linearization approach
Michael J. W. Hall
TL;DR
This paper introduces a linearization method for calculating Mercury's relativistic precession, simplifying the process to a level comparable with Newtonian orbit solutions and maintaining high accuracy for near-circular orbits.
Contribution
It presents a novel linearization approach that simplifies relativistic precession calculations, making them as straightforward as Newtonian orbit solutions.
Findings
Method is as simple as solving Newtonian orbits
Accurate to all orders in 1/c for near-circular orbits
Related to Newton's theorem on revolving orbits
Abstract
The additional precession of Mercury due to general relativity can be calculated by a method that is no more difficult than solving for the Newtonian orbit. The method relies on linearizing the relativistic orbit equation, is simpler than standard textbook methods, and is closely related to Newton's theorem on revolving orbits. The main result is accurate to all orders in for near-circular orbits.
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Taxonomy
TopicsPlanetary Science and Exploration · Astro and Planetary Science · Relativity and Gravitational Theory