Testing the Titius-Bode law predictions for Kepler multi-planet systems

Abstract

We use three and half years of Kepler Long Cadence data to search for the 97 predicted planets of Bovaird & Lineweaver (2013) in 56 of the multi-planet systems, based on a general Titius-Bode relation. Our search yields null results in the majority of systems. We detect five planetary candidates around their predicted periods. We also find an additional transit signal beyond those predicted in these systems. We discuss the possibility that the remaining predicted planets are not detected in the Kepler data due to their non-coplanarity or small sizes. We find that the detection rate is beyond the lower boundary of the expected number of detections, which indicates that the prediction power of the TB relation in general extra solar planetary systems is questionable. Our analysis of the distribution of the adjacent period ratios of the systems suggests that the general Titius-Bode relation may over-predict the presence of planet pairs near the 3:2 resonance.

Accepted by MNRAS

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• A HARPS-N mass for the elusive Kepler-37d: a case study in disentangling stellar activity and planetary signals
• Self-Organizing Systems in Planetary Physics: Harmonic Resonances of Planet and Moon Orbits
• On the Orbital Spacing Pattern of Kepler Multiple Planet Systems
• A Physical Interpretation of the Titius-Bode Rule and its Connection to the Closed Orbits of Bertrand's Theorem
• Exoplanet Predictions Based on Harmonic Orbit Resonances
• Exoplanets Prediction in Multiplanetary Systems
• Exponential Distance Relation and Near Resonances in the Trappist-1 Planetary System
• On the Scaling and Spacing of Extra-Solar Multi-Planet Systems
• Gravitational quantization of satellite orbits in the giant planets
• On the Period-Ratio-Mass-Ratio Correlation of Extra-Solar Multi-Planet Systems
• Exponential distance relation (aka Titius-Bode rule) in extra solar planetary systems