Abstract
An example of a rotating infinitely flattened self-gravitating particle system in steady state is considered. Non-stationary motion of the system in the neighborhood of this equilibrium solution is determined through the sencond-order perturbation. The first order perturbation terms give rise to a configuration of straight bars emanating from the center which become skewed under the influence of the second-order terms. In the case of a single bar, as in a barred spiral, the skewing is in the arms leading or arms trailing sense, according to whether the system is developing away from or approaching the equilibrium state.
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Langebartel, R.G. Non-stationary motion of a rotating infinitely flattened self-gravitating system near an equilibrium state. Astrophys Space Sci 43, 105–127 (1976). https://doi.org/10.1007/BF00640560
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DOI: https://doi.org/10.1007/BF00640560