Calculation of apsidal precession via perturbation theory

TL;DR

This paper develops a perturbation theory approach to calculate planetary apsidal precession frequencies, introducing a ring model to enhance accuracy and comparing theoretical results with observed data.

Contribution

It introduces a ring model within perturbation theory to improve calculations of planetary precession frequencies.

Findings

Theoretical precession frequencies are calculated using the ring model.

Comparison shows good agreement between theory and observed data.

The method enhances the precision of apsidal precession calculations.

Abstract

The calculus of apsidal precession frequencies of the planets is developed by means of a perturbation thecnique. A model of concentric rings (ring model), suitable for improving calculations, is introduced. Conclusive remarks concerning a comparison between the theoretical, the calculated and the observed data of the precession frequencies are performed.