Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...169...95s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 169, no. 1-2, Nov. 1986, p. 95-110.
Astronomy and Astrophysics
Astrophysics
14
Density Wave Model, Linear Vibration, Perturbation Theory, Star Clusters, Stellar Oscillations, Vibration Mode, Eigenvalues, Fluid Flow, Polytropic Processes
Scientific paper
In an expansion scheme in velocity space, the first order perturbations of a stellar system bear close resemblance to those of a fluid. This feature is exploited to study the structure of the Hilbert space of the linear perturbations of a stellar system, to provide a classification for the modes, and to provide the necessary ansatz for variational calculations. The first order non-radial modes appear to be trispectral. Some of their general characteristics are pointed out. The eigenfrequencies and the eigenfunctions of radial (l = 0) and non-radial (l = 1) modes of polytropes are calculated. The density waves associated with these modes are also reported.
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