Collapse of a dusty medium and Titius-Bode law in natural units.

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Protoplanetary Cloud: Evolution, Protoplanetary Cloud: Planetary Orbits

Scientific paper

If a protoplanetary cloud forms as a pancake of collapsing dust, the
system acquires a special length scale: the orbit of the most massive
planet. This scale determines the sequence of the orbits of other
planets. In a zeroth approximation, these other orbits satisfy a simple
rule involving resonances of orbital periods.

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