The equilibrium of polytropes in poloidal magnetic fields.

Details The equilibrium of polytropes in poloidal magnetic fields. The equilibrium of polytropes in poloidal magnetic fields.

Dec 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997babel.156....1b&link_type=abstract

Bulletin Astronomique de Belgrade, No. 156, p. 1 - 7

Astronomy and Astrophysics

Astronomy

Magnetic Fields: Equilibria, Magnetic Fields: Polytropes

Scientific paper

The authors study the equilibrium of polytropes in a poloidal magnetic field. The magnetic field is the solution of a nonhomogeneous Euler equation for which the authors are able to give the general solution. It depends on the Lane-Emden function. The authors use the approximate analytic solution of the Lane-Emden equation proposed by Liu, to write it explicitly. For the polytropic indices n = 1, 2 the approximation is very good, the maximum error is <0.5%.

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