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(1999)
W - ology , or , some exactly solvable growth models
- Publisher
- American Association of Physics Teachers
- Copyright
- Copyright © 2004 American Association of Physics Teachers
- ISSN
- 0002-9505
- eISSN
- 1943-2909
- DOI
- 10.1119/1.1775242
- Publisher site
- See Article on Publisher Site
Abstract
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. © ; 2004 American Association of Physics Teachers.
Journal
American Journal of Physics – American Association of Physics Teachers
Published: Nov 1, 2004
Keywords: solar wind; accretion; solar corona; astrophysical plasma