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3D structures of steady flow of ideal compressible fluid in MHD: a new model of primordial solar nebula

Published online by Cambridge University Press:  01 November 2008

Vladimir V. Salmin*
Affiliation:
Siberian Federal University, Svobodny ave., 79, Krasnoyarsk, 660041, Russia email: vsalmin@gmail.com
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Abstract

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Stereographic projection of Hopf field on the 3-sphere into Euclidean 3-space is used as a model of 3D steady flow of ideal compressible fluid in MHD. In such case, flow lines are Villarceau circles lying on tori corresponding to the levels of Bernoulli function. Existence of an optimal torus with minimal relative surface free energy is shown. Optimal tori are considered as precursors of planetary orbits.

Type
Contributed Papers
Copyright
Copyright © International Astronomical Union 2009

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