"iii. If the Titius-Bode laws of the solar system are more than pure numerological speculations, they may be simply interpreted as the signature of the scale and rotational invariance of the protoplanetary system."
"We conclude that, if a model of planet or satellite formation leads to such geometric law for orbit diameters, this does not constitute a diagnostic of the model's validity, but only reflects its implicit scale and rotational invariance."
Titius-Bode laws in the solar system. 1: Scale invariance explains everything