Statistics – Applications
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt.........5l&link_type=abstract
Ph.D. Thesis Universitaire Instelling Antwerpen, Wilrijk (Belgium).
Statistics
Applications
Fission, Main Sequence Stars, Stability, Stellar Rotation, White Dwarf Stars, Corotation, Rotating Bodies, Wave Reflection
Scientific paper
The instabilities, created by differential rotation, in rotating self-gravitating masses are investigated. We use a normal mode and analysis and consider primarily long-wavelength disturbances affecting the global structure of the mass. There exist three types of instabilities. The first one only occurs within a restricted part along the sequence which in the limit of uniform rotation reduces to a bifurcation point of the Maclaurin sequence. For the lowest order (m = 2) harmonic we show that this instability enforces an evolution towards a uniformly rotating stable Jacobi ellipsoid. Contrary to previous studies of shear instabilities, the unstable mode is not always situated inside the corotation spectrum. The second type is a short-wavelength instability created by an infinite discrete spectrum of unstable modes located inside the corotation spectrum. By making the disk approximation we show that the source of this instability is the wave-overreflection mechanism. The third type only occurs for disturbances which have a component along the rotation axis. They resemble the first type although the origin of the instability seems unclear. Possible applications to the structure of main-sequence stars and white dwarfs are discussed. We formulate also a new version of the fission theory.
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