On Bode's law
arXiv:astro-ph/0407495 · doi:10.1142/S0218271805006195
Abstract
In a planetary or satellite system, idealized as n small bodies in initially coplanar, concentric orbits around a large central body, obeying Newtonian point-particle mechanics, resonant perturbations will cause dynamical evolution of the orbital radii except under highly specific mutual relationships, here derived analytically.
18 pages. Accepted by IJMP