Asymptotic solutions for the Clairaut equation in the theory of rotating fluid masses期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Asymptotic solutions for the Clairaut equation in the theory of rotating fluid masses

Authors:	Zdeněk Kopal Paolo Lanzano

Institution:	(1) Naval Research Laboratory, Washington, D.C., USA;(2) Present address: Astronomy Dept., Univ. of Manchester, Manchester, UK

Abstract:	A procedure has been devised to construct a solution of the Clairaut equation in the form of an asymptotic expansion in terms of descending powers of $\lambda = j + \tfrac{1}{2}$ , wherej denotes the order of spherical-harmonic distortion. It has been shown that asj and, therefore increases, the foregoing series approaches asymptotically a solution of our equation. The procedure is similar to the WKB-method of theoretical physics.

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