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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
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.
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- Information
- Proceedings of the International Astronomical Union , Volume 4 , Symposium S259: Cosmic Magnetic Fields: From Planets, to Stars and Galaxies , November 2008 , pp. 305 - 308
- Copyright
- Copyright © International Astronomical Union 2009
References
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Gibbons, G. W. 2006, Applications of Differential Geometry to Physics Part III, Cambridge University, U.K.Google Scholar
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