Exoplanet Predictions Based on the Generalised Titius-Bode Relation

Abstract

We evaluate the extent to which newly detected exoplanetary systems containing at least four planets adhere to a generalized Titius-Bode (TB) relation. We find that the majority of exoplanet systems in our sample adhere to the TB relation to a greater extent than the Solar System does, particularly those detected by the Kepler mission. We use a generalized TB relation to make a list of predictions for the existence of 141 additional exoplanets in 68 multiple-exoplanet systems: 73 candidates from interpolation, 68 candidates from extrapolation. We predict the existence of a low-radius (R < 2.5 Earth Radii) exoplanet within the habitable zone of KOI-812 and that the average number of planets in the habitable zone of a star is 1-2. The usefulness of the TB relation and its validation as a tool for predicting planets will be partially tested by upcoming Kepler data releases.

23 pages, 7 figures, 3 tables Accepted by MNRAS

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• Exoplanets Prediction in Multiplanetary Systems
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• Case Studies of Exocomets in the System of HD 10180
• On the Scaling and Spacing of Extra-Solar Multi-Planet Systems
• Earth-like planet predictor: A machine learning approach
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• 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