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intermediate

Interaction between Yarkovsky force and mean-motion resonances: Some specific properties

I. Milic-Zitnik (2016)

Published
Jan 1, 2016
Journal
Serbian Astronomical Journal · No. 193
DOI
10.2298/SAJ160613007Z

At a Glance

This paper analyzed the role of mean-motion resonances in semi- major axis mobility of asteroids, and established a functional relationship that describes the dependence of the average time spent inside the resonance on the strength of this resonance and the semi-major axis drift speed.

Summary

Here was analyzed the role of mean-motion resonances in semi- major axis mobility of asteroids, and established a functional relationship that describes the dependence of the average time spent inside the resonance on the strength of this resonance and the semi-major axis drift speed. This analysis is extended in two directions: the distribution of time delays inside the resonance and found that it could be described by the modified Laplace asymmetric distribution. Second: how the time spent inside the resonance depends on orbital eccentricity, and propose a relation that allows taking this parameter into account as well.

Method Snapshot

numerical integrations, statistical methods

It would be easy to calculate the average time that an object spent inside an mean-motion resonance, with given the resonance’s strength, the Yarkovsky drift speed and an object’s eccentricity (0.025<e<0.4). The derived modified Laplace statistical distribution could be used for generating the average time for certain number of asteroids with a particular Yarkovsky drift speed in mean motion resonances.