Exoplanet Predictions Based on Harmonic Orbit Resonances

Abstract

The current exoplanet database includes 5454 confirmed planets and candidate planets observed with the KEPLER mission. We find 932 planet pairs from which we extract distance and orbital period ratios. While earlier studies used the Titius-Bode law or a generalized version with logarithmic spacing, which both lack a physical model, we employ here the theory of harmonic orbit resonances, which contains quantized ratios instead, to explain the observed planet distance ratios and to predict undetected exoplanets. We find that the most prevailing harmonic ratios are (2:1), (3:2), and (5:3), in 73\% of the cases, while alternative harmonic ratios of (5:4), (4:3), (5:2), (3:1) occur in 27\% of the other cases. Our orbital predictions includes 171 exoplanets, 2 Jupiter moons, one Saturn moon, 3 Uranus moons, and 4 Neptune moons. The accuracy of the predicted planet distances amounts to a few percent, which fits the data significantly better than the Titius-Bode law or a logarithmic spacing. This information may be useful for targeted exoplanet searches with Kepler data and to estimate the number of live-carrying planets in habitable zones.

9 pages, 7 Figures

References in corpus (14)

• Seven temperate terrestrial planets around the nearby ultracool dwarf star TRAPPIST-1
• The Exoplanet Orbit Database II: Updates to exoplanets.org
• 25 Years of Self-Organized Criticality: Solar and Astrophysics
• A record of planet migration in the Main Asteroid Belt
• The HARPS search for southern extra-solar planets. XXVII. Up to seven planets orbiting HD 10180: probing the architecture of low-mass planetary systems
• Detection of a planetary system orbiting the eclipsing polar HU Aqr
• The Catalog of Earth-Like Exoplanet Survey TArgets (CELESTA): A Database of Habitable Zones around Nearby Stars
• Exoplanet Predictions Based on the Generalised Titius-Bode Relation
• Using the Inclinations of Kepler Systems to Prioritize New Titius-Bode-Based Exoplanet Predictions
• Application of the Titius-Bode Rule to the 55 Cancri System: Tentative Prediction of a Possibly Habitable Planet
• Testing the Titius-Bode law predictions for Kepler multi-planet systems
• Self-Organizing Systems in Planetary Physics: Harmonic Resonances of Planet and Moon Orbits
• Exponential Distance Relation and Near Resonances in the Trappist-1 Planetary System
• Statistical distributions of mean motion resonances and near-resonances in multiplanetary systems

Cited by in corpus (4)

• Order out of Randomness : Self-Organization Processes in Astrophysics
• Forming rocky exoplanets around K-dwarf stars
• Orbital Period Ratios and Fibonacci Numbers in Solar Planetary and Satellite Systems and in Exoplanetary Systems
• Exponential distance relation (aka Titius-Bode rule) in extra solar planetary systems