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VOLUME 54 (1991) | ISSUE 7 | PAGE 357
Collapse of a dusty medium and Titius-Bode law in natural units
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.