Orbital resonances in exoplanetary systems

• Published in: Journal of physics. Conference series Vol. 572; no. 1; pp. 12006 - 5
• Main Authors: Popova, E A, Shevchenko, I I
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.01.2014
• Subjects: Binary stars; Dynamical systems; Dynamics; Eccentricity; Extrasolar planets; Histograms; Mathematical analysis; Orbital resonances (celestial mechanics); Orbitals; Orbits; Physics; Planetary systems
• ISSN: 1742-6588; 1742-6596
• DOI: 10.1088/1742-6596/572/1/012006

At present, more than 700 exoplanetary systems are known to have been discovered. They incorporate more than 130 multiplanet systems, i.e. those hosting two or more planets. The orbital resonance and near-resonance phenomena are ubiquitous in them. We present a statistical and dynamical analysis of the resonance structure of the multiplanet systems and planetary systems of binary stars. We have built distributions of the orbital period ratios, separately considering the cases of inner and outer location of the massive perturber. The histograms reveal apparent peaks close to the first order orbital resonances 2/1 and 3/2 in both cases; this confirms previous findings. We have performed analytical modelling of the histograms, and obtained exact positions of the peaks. Moreover, we have built the "period ratio – eccentricity" diagrams, with collision curves superimposed, so that to find anomalous systems.