# Exoplanet Predictions Based on Harmonic Orbit Resonances

## TL;DR

This paper uses harmonic orbit resonance theory to analyze exoplanet data, successfully predicting undetected planets and providing a more accurate model than previous logarithmic or Titius-Bode laws.

## Contribution

It introduces a physically motivated harmonic resonance model to explain and predict exoplanet distances, improving upon prior empirical laws.

## Key findings

- Harmonic ratios (2:1, 3:2, 5:3) dominate 73% of cases.
- Predicted 171 exoplanets and several moons with high accuracy.
- Model outperforms Titius-Bode law and logarithmic spacing in fit quality.

## 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.