Bode’s Law

Also called the Titus-Bode Law, this empirical mathematical relationship for planetary distances from the Sun was discovered by Titus in 1766 and developed further by Bode in 1772.

Start with the series 0, 3, 6, 12, 24… , add 4 to each number, and then divide by 10. The resulting values correspond to distances from the Sun for the planets and asteroid belt. This relationship works for Mercury out to Uranus, but fails for Neptune and beyond. A similar relationship is observed for the moons of the gas giant planets (distances measured from planet).

Some or all content above used with permission from J. H. Wittke.

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