Self-similar collapse in nebular disk and the Titius-Bode law.

Details Self-similar collapse in nebular disk and the Titius-Bode law. Self-similar collapse in nebular disk and the Titius-Bode law.

Dec 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995a%26a...304..617l&link_type=abstract

Astronomy and Astrophysics, v.304, p.617

Astronomy and Astrophysics

Astrophysics

5

Solar System: Formation, Hydrodynamics, Waves, Instability

Scientific paper

Nonlinear development and evolution of density disturbances in nebular disk are examined on the basis of our previous study(Li & Zhang 1994). It is shown that the perturbed density is unstable with respect to self-modulation, leading to the formation of the density field localization; in the nonlinear stage of the instability, development of the localized field will lead to collapse. For the case of self-similar collapse, perturbed density inially increases with time and then tends to form of steady rings with very large but limit amplitudes; and their distances r_n_ from the center form a geometric progression, which is similar to the Titius-Bode law.

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