A fast method to identify mean motion resonances

Abstract

The identification of mean motion resonances in exoplanetary systems or in the Solar System might be cumbersome when several planets and large number of smaller bodies are to be considered. Based on the geometrical meaning of the resonance variable, an efficient method is introduced and described here, by which mean motion resonances can be easily find without any a priori knowledge on them. The efficiency of this method is clearly demonstrated by using known exoplanets engaged in mean motion resonances, and also some members of different families of asteroids and Kuiper-belt objects being in mean motion resonances with Jupiter and Neptune respectively.

7 pages, 13 figures, accepted by Monthly Notices of the Royal Astronomical Society

References in corpus (7)

• Origin of the Structure of the Kuiper Belt during a Dynamical Instability in the Orbits of Uranus and Neptune
• A resonant chain of four transiting, sub-Neptune planets
• The 2:1 resonant exoplanetary system orbiting HD73526
• Asteroid families in the first order resonances with Jupiter
• The Laplace resonance in the Kepler-60 system
• Extrasolar planets and brown dwarfs around A-F type stars V. A planetary system found with HARPS around the F6IV-V star HD 60532
• HD60532, a planetary system in a 3:1 mean motion resonance

Cited by in corpus (10)

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• Birth cluster simulations of planetary systems with multiple super-Earths: initial conditions for white dwarf pollution drivers
• Migration jumps of planets in transition disks
• A dynamical survey of the trans-Neptunian region I.: Mean-motion resonances with Neptune
• Exploiting periodic orbits as dynamical clues for Kepler and K2 systems
• Transit of asteroids across the 7/3 Kirkwood gap under the Yarkovsky effect
• Stability of exoplanetary systems retrieved from scalar time series
• ASTEP confirmation of a pair of long-period Jupiter-sized planets with extremely low densities transiting TOI-791
• A survey on Hungaria asteroids involved in mean motion resonances with Mars
• Advanced Techniques in Stability Analysis of Trans-Neptunian Objects