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

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

Apr 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009iaus..259..305s&link_type=abstract

Cosmic Magnetic Fields: From Planets, to Stars and Galaxies, Proceedings of the International Astronomical Union, IAU Symposium,

Astronomy and Astrophysics

Astronomy

Mhd, Solar System: Formation

Scientific paper

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.

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