Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...256..497v&link_type=abstract
Astrophysical Journal, Part 1, vol. 256, May 15, 1982, p. 497-504.
Astronomy and Astrophysics
Astrophysics
6
Galactic Rotation, Galactic Structure, Gravitational Waves, Relativistic Effects, Stellar Systems, Disk Galaxies, Elliptical Galaxies, Harmonic Oscillation, Stability, Symmetry
Scientific paper
In a post-Newtonian approximation, it is shown that the emission of gravitational radiation makes a Dedekind-like mode of second-harmonic oscillation secularly unstable in all of the rotating members of a certain Maclaurin-like sequence of axisymmetric stellar systems. The limiting, nonrotating member of the sequence is a point of neutral stability, and it is also the point of bifurcation at which a Dedekind-like sequence of nonaxisymmetric stellar systems branches off from the Maclaurin-like sequence. The Maclaurin-like and Dedekind-like systems that are considered here belong to the family of stellar systems, of the form of elliptical disks, that has been constructed by Freeman and by Hunter.
Ipser James R.
Vandervoort Peter O.
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