Asymptotic Solutions for the Clairaut Equation in the Theory of Rotating Fluid Masses

Details Asymptotic Solutions for the Clairaut Equation in the Theory of Rotating Fluid Masses Asymptotic Solutions for the Clairaut Equation in the Theory of Rotating Fluid Masses

Aug 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973ap%26ss..23..425k&link_type=abstract

Astrophysics and Space Science, Volume 23, Issue 2, pp.425-429

Astronomy and Astrophysics

Astrophysics

1

Scientific paper

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 ofλ = j + tfrac{1}{2}, wherej denotes the order of spherical-harmonic distortion. It has been shown that asj and, therefore λ 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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