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Bode's Law is one such pattern. Most of our planets, except Neptune, follow it. It gives predictions for the distances of objects from the sun. This law was published by Johann Elert Bode.

Bode's law goes something like this:

Distance from the Sun (Astronomical Units)

Mercury - 0.4 = 4/10

Venus - 0.7 = (4+3)/10

Earth - 1.0 = (4+ 3*2)/10

Mars - 1.6 = (4+ 3*2*2)/10

Ceres (a dwarf planet) - 2.8 = (4+ 3*2*2*2)/10

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