The deformed figures of the Dedekind ellipsoids in the post-Newtonian approximation to general relativity - corrections and amplifications

Chandrasekhar, S. ; Elbert, D. D. (1978) The deformed figures of the Dedekind ellipsoids in the post-Newtonian approximation to general relativity - corrections and amplifications Astrophysical Journal, 220 . pp. 303-313. ISSN 0004-637X

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Official URL: http://articles.adsabs.harvard.edu/abs/1978ApJ...2...

Related URL: http://dx.doi.org/10.1086/155906

Abstract

Two errors in the analysis of an earlier paper on the same subject are corrected. It is found that as a consequence of the corrections, the solution to the post-Newtonian equations (appropriate to determining the deformed figures of the Dedekind ellipsoid) now diverges at a point where the axes of the ellipsoid are in the ratios 1:0.3370:0.2850. In addition, the fourth-harmonic oscillations of the Dedekind ellipsoid are considered. It is found that it becomes dynamically unstable when its axes are in the ratios 1:0.3121:0.2680.

Item Type:Article
Source:Copyright of this article belongs to American Astronomical Society.
Keywords:Ellipsoids; Newton Theory; Relativity; Velocity Distribution; Boundary Value Problems; Gravitational Fields; Harmonic Oscillation; Linear Equations; Pressure Distribution
ID Code:70844
Deposited On:22 Nov 2011 04:51
Last Modified:18 May 2016 16:47

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