I might be mistaking, but is the Titus Bode law not:

d = 0.4 + 0.3 * n

with n = 0, 1, 2, 4, 8, 16, doubling doubling? with n=8 the asteroid belt.

where does the -8 come from? Why is Jupiter 3, which would put it on 2.2 AU away from the sun (rather close I would say).

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