Volume 22: Pages 493-499, 2009
Commensurability in the solar system
Jan C. A. Boeyens 1
1Unit for Advanced Study, University of Pretoria, Pretoria 0002, South Africa
The features in common between the well-known Bode–Titius law, other commensurable astronomical relationships, and the organization of self-similar atomic systems are used to demonstrate that the orbital data of all planets, asteroids, moons, and rings in the solar system reduce to a simple numerical pattern based on the golden ratio. A set of integers, not unlike the quantum numbers of atomic systems, defines the mean orbits of all planets and major satellites.
Keywords: Solar System, Bode–Titius Law, Planetary Moons, Asteroid Belt, Planetary Rings, Golden Ratio, Nebular Theory
Received: March 31, 2009; Accepted: August 18, 2009; Published Online: September 23, 2009