Equations for Mirror Symmetries among the Distances of the Planets

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The authors treat the eight major planets as if they were reflected in a mirror situated at the mean distance of the asteroids, so that Mercury goes with Neptune, Venus with Uranus, and so on. If all the planetary distances are then expressed as powers of a single constant - taken as the eighth root of 2, the mean frequency ratio between notes in an octave - many mirror symmetries emerge, which lead to equations between planetary distances.

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