On the secular instabilities of the Maclaurin spheroids

Journal Article · Sat Jan 15 04:00:00 EST 1977 · Astrophys. J.; (United States)

DOI:https://doi.org/10.1086/154964· OSTI ID:7317265

Lindblom, L; Detweiler, S L

The combined effects of gravitational radiation reaction and of viscosity on the stability of the Maclaurin spheroids are discussed. Each of these dissipative effects is known to induce a secular instability in the Maclaurin sequence past the point of bifurcation of the Jacobi and the Dedekind sequences. We find, however, that when both effects are considered together, these instabilities tend to cancel each other. The sequence of stable Maclaurin spheroids therefore reaches past the bifurcation point to a new point determined by the ratio of the strengths of the viscous and the radiative forces.

• Research Organization: Department of Physics and Astronomy, University of Maryland
• OSTI ID: 7317265
• Journal Information: Astrophys. J.; (United States), Journal Name: Astrophys. J.; (United States) Vol. 211:2; ISSN ASJOA
• Country of Publication: United States
• Language: English

Related Subjects

640102* -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATION
GRAVITATIONAL RADIATION
MATHEMATICAL MODELS
MOTION
RADIATIONS
ROTATION
STAR EVOLUTION
STAR MODELS
VISCOSITY