ATLAS OF THREE BODY MEAN MOTION RESONANCES IN THE SOLAR SYSTEM

Tabare Gallardo
Departamento Astronomia, Facultad de Ciencias, Universidad de la Republica, Uruguay
www.fisica.edu.uy/~gallardo


The present plots, tables and programs give the location and estimated strength in relative units of the three-body resonances between a massless particle and two planets. The estimated strength Delta rho was calculated following Gallardo (2014, Icarus 231, 273-286). It depends on the eccentricity, inclination and the argument of perihelion (w) of the particle's orbit. For more details see preprint here.


Plots

Tables

Programs

Use

Suppose you are studying an asteroid or comet and you want to know if it is in a resonant motion. You have two options:

Limitations

The semimajor axis of the actual resonances can be something different from this theory because we have not taken into account the shift in "a" generated by the time evolution of the perihelion and node of the particle's orbit. For larger semimajor axes we have larger errors in "a".

Links

"Massive identification of asteroids in three-body resonances", E. A. Smirnov, I. I. Shevchenko 2013.
"Asteroids in three-body mean motion resonances with planets", Evgeny A.Smirnov, Ilya S. Dovgalev, Elena A. Popova 2017.



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