Evaluating the Signatures of the Mean Motion Resonances in the Solar System

TL;DR

This paper analyzes the characteristics of mean motion resonances in the solar system, focusing on libration centers and resonance strengths, using a revised numerical method to evaluate their significance in the asteroid belt.

Contribution

It introduces a revised numerical method for computing resonance strengths and applies it to main belt asteroids, enhancing understanding of resonance effects.

Findings

Identification of libration centers and their dependence on orbital elements

Revised method effectively quantifies resonance strengths

Resonance significance varies across asteroid belt regions

Abstract

The characteristics of the resonant disturbing function for an asteroid perturbed by a planet in circular orbit are discussed. The location of the libration centers and their dependence with the orbital elements of the resonant orbit are analyzed. A proposed numerical method (Gallardo 2006a) for computing the strengths of the resonances is revised and applied to the region of the main belt of asteroids showing the relevance of several mean motion resonances (MMR) with several planets.