Lecar's visual comparison method to assess the randomness of Bode's law: an answer

TL;DR

This paper critiques Lecar's visual comparison method for assessing the randomness of Bode's law, demonstrating its inaccuracy and arguing against the assumption that planetary distances are purely random.

Contribution

The paper refutes Lecar's assumption and shows that his visual comparison method is unsuitable for evaluating the randomness of planetary distance distributions.

Findings

Lecar's assumption about randomness is incorrect.

His visual comparison method is inappropriate for this analysis.

The paper clarifies the limitations of Lecar's approach.

Abstract

The usual main objection against any attempt in finding a physical cause for the planet distance distribution is based on the assumption that similar distance distribution could be obtained by sequences of random numbers. This assumption was stated by Lecar in an old paper (1973). We show here how this assumption is incorrect and how his visual comparison method is inappropriate.