The Titius-Bode law of planetary distances: new approach

TL;DR

This paper introduces a novel probabilistic method to analyze planetary distances and mass distribution in the Solar System, offering a new perspective on the Titius-Bode law with potential physical interpretations.

Contribution

It presents a new approach modeling planetary spacing as inverse composite probabilities, incorporating physical interpretations and comparing predictions with recent transneptunian object data.

Findings

Relative planetary distances fit the probabilistic model

Parameters of new transneptunian objects align with predictions

Provides a physical interpretation for the model parameters

Abstract

The new approach of the regular spacing of planetary orbits and planet mass distribution in the Solar system is considered. The relative planetary distances will be represented as the inverse composite probabilities of two discrete distributions with one fitted parameter. Conceivable physical interpretation of these distributions and fitted parameter will be suggested. The parameters of the orbits of the newly discovered transneptunian objects are compared with predicted planetary orbits.