The Lynden-Bell bar formation mechanism in simple and realistic galactic models. (arXiv:2007.05187v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Polyachenko_E/0/1/0/all/0/1">E. V. Polyachenko</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Shukhman_I/0/1/0/all/0/1">I. G. Shukhman</a>
Using the canonical Hamilton-Jacobi approach we study the Lynden-Bell (1979)
concept of bar formation based on the idea of orbital trapping parallel to the
long or short axes of the oval potential distortion. The concept considered a
single parameter — a sign of the derivative of the precession rate over
angular momentum, determining the orientation of the trapped orbits. We derived
a perturbation Hamiltonian which includes two more parameters characterising
the background disc and the perturbation, that just as important as the
previously known. This allows us to link this old theory with the matrix
approach in linear perturbation theory, the theory of weak bars, and explain
some features of the nonlinear secular evolution observed in N-body
simulations.
Using the canonical Hamilton-Jacobi approach we study the Lynden-Bell (1979)
concept of bar formation based on the idea of orbital trapping parallel to the
long or short axes of the oval potential distortion. The concept considered a
single parameter — a sign of the derivative of the precession rate over
angular momentum, determining the orientation of the trapped orbits. We derived
a perturbation Hamiltonian which includes two more parameters characterising
the background disc and the perturbation, that just as important as the
previously known. This allows us to link this old theory with the matrix
approach in linear perturbation theory, the theory of weak bars, and explain
some features of the nonlinear secular evolution observed in N-body
simulations.
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