Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...220..303c&link_type=abstract
Astrophysical Journal, Part 1, vol. 220, Feb. 15, 1978, p. 303-313
Astronomy and Astrophysics
Astrophysics
2
Ellipsoids, Newton Theory, Relativity, Velocity Distribution, Boundary Value Problems, Gravitational Fields, Harmonic Oscillation, Linear Equations, Pressure Distribution
Scientific paper
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.
Chandrasekhar Subrahmanyan
Elbert Donna D.
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