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On Bode's law

R. Bass, A. Del Popolo

astro-pharXiv:astro-ph/0407495

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.

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