On the formation of the planetary system - The Titius-Bode law

Computer Science – Sound

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Gravitational Effects, Natural Satellites, Planetary Evolution, Solar System, Abundance, Angular Momentum, Density Distribution, Hydrodynamics, Mass Distribution, Planetary Mass, Planetary Nebulae, Rotating Disks, Velocity Distribution

Scientific paper

The linear density and velocity perturbations are analyzed in a differentially rotating thin gravitating disk consisting of gas and dust. For the radial behavior of the equilibrium density and the velocity of sound we assume a power law. The zeros of these perturbations have a distance behavior like the distances of the planets and their satellites known as the Titius-Bode rule. It is suggested, that the knots of the velocity disturbances are the places where ring like dust accumulations occur. The mechanism is the same as in the 'Kundt's tube', where collisions between the dust and the oscillating gas are responsible for this effect.

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