Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982apj...256l..41v&link_type=abstract
Astrophysical Journal, Part 2 - Letters to the Editor, vol. 256, May 15, 1982, p. L41-L44.
Astronomy and Astrophysics
Astrophysics
19
Galactic Evolution, Galactic Structure, Virial Theorem, Dynamic Stability, Symmetry, Tensors
Scientific paper
A theoretical analysis of the oscillations and stability of galaxies based on tensor virial equations of the second order is used to form criteria to predict the instability of a rotating, axisymmetric galaxy with respect to deformation into a bar. A slight perturbation in an equilibrium configuration of a galaxy is considered in terms of a Lagrangian displacement of a sample star in six-dimensional phase space. A trial function is defined for linearized tensor virial equations to obtain a set of six linear equations for the amplitude of the simple harmonic oscillations, giving a virial estimate of the criterion for a system unstable with respect to bar modes. The total angular momentum of the system, the relevant measure of the rotation of a galaxy, eccentricity, dynamical instability, and a formulated inequality based on the gravitational potential energy are shown to form the criteria for direct tests of galactic instability.
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