New views of the solar wind with the Lambert W function

Details New views of the solar wind with the Lambert W function New views of the solar wind with the Lambert W function

2004-06-07

arxiv.org/abs/astro-ph/0406176v1

Am.J.Phys. 72 (2004) 1397-1403

Astronomy and Astrophysics

Astrophysics

16 pages (revtex4), 3 figures, American J. Phys., in press (2004)

Scientific paper

10.1119/1.1775242

This paper presents closed-form analytic solutions to two illustrative problems in solar physics that have been considered not solvable in this way previously. Both the outflow speed and the mass loss rate of the solar wind of plasma particles ejected by the Sun are derived analytically for certain illustrative approximations. The calculated radial dependence of the flow speed applies to both Parker's isothermal solar wind equation and Bondi's equation of spherical accretion. These problems involve the solution of transcendental equations containing products of variables and their logarithms. Such equations appear in many fields of physics and are solvable by use of the Lambert W function, which is briefly described. This paper is an example of how new functions can be applied to existing problems.

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