Stability of two-dimensional stellar systems in uniform rotation

Details Stability of two-dimensional stellar systems in uniform rotation Stability of two-dimensional stellar systems in uniform rotation

Apr 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976crasb.282..369c&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie B - Sciences Physiques, vol. 282, no. 16, Apr. 26, 1976, p. 369-372. In Fr

Physics

1

Density Wave Model, Dynamic Stability, Galactic Rotation, Galactic Structure, Stellar Systems, Angular Momentum, Distribution Functions, Integral Equations, Liapunov Functions, Poisson Equation, Stellar Models, Vlasov Equations

Scientific paper

With the aid of the model of constant density in phase space and a linear theory around the steady state, the authors demonstrate the existence of a conserved quantity in the case of nonaxisymmetric perturbations. For uniformly rotating systems this quantity can be put in positive definite quadratic form, and application of the Liapunov criterion leads to the conclusion that these systems are stable if the star density decreases as a function of radius.

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