Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986ap%26ss.119..159r&link_type=abstract
(IAU, Asian-Pacific Regional Meeting, 3rd, Kyoto, Japan, Sept. 30-Oct. 5, 1984) Astrophysics and Space Science (ISSN 0004-640X),
Astronomy and Astrophysics
Astrophysics
1
Convection, Interplanetary Gas, Planetary Evolution, Roche Limit, Solar Rotation, Solar System, Cosmology, Protostars, Solar Orbits, Solar Terrestrial Interactions, Supersonic Flow, Turbulent Flow
Scientific paper
An alternative method for deriving the Titius-Bode law is examined. Prentice's modern Laplacian theory (1978a, b) which calculates the ratio of orbital radii of successively disposed rings as 1.69, and Rawal's (1984a) 1.442 ratio value derived from the Roche limit concept are reviewed. The interrelations between the supersonic turbulent convection, rotational instability, and Roche limit are analyzed. The equations for evaluating the total energy of a uniformly turbulent cloud of equatorial radius existing in a hydrostatic equilibrium are explained. The influence of turbulence on the cloud is investigated. The supersonic turbulence is unable to completely stabilize the cloud during the collapse from 10,000 to 300 solar radii. The turbulent stress also causes the formation of a very steep density inversion at the photosphere; the effect of turbulence on the differential motion and rotation in the cloud is studied. It is concluded that the Bode constant calculated using the proposed technique is equivalent to the Roche limit.
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