The features in common between the well-known
Bode–Titius law, other commensurable astronomical relation-
ships, and the organization of self-similar atomic systems, are
used to demonstrate that the orbital data of all planets, aster-
oids, 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 define the
mean orbits of all planets and major satellites.