On the Lynden-Bell Bar Formation Mechanism in Galactic Disks

2020 ◽  
Vol 46 (1) ◽  
pp. 12-23
Author(s):  
E. V. Polyachenko ◽  
I. G. Shukhman
2020 ◽  
Vol 498 (3) ◽  
pp. 3368-3373
Author(s):  
E V Polyachenko ◽  
I G Shukhman

ABSTRACT Using the canonical Hamilton–Jacobi approach we study the Lynden-Bell 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 that includes two more parameters characterizing the background disc and the perturbation, which are just as important as the earlier known one. This allows us to link the concept with the matrix approach in linear perturbation theory, the theory of weak bars, and explain some features of the non-linear secular evolution observed in N-body simulations.


2016 ◽  
Vol 462 (4) ◽  
pp. 3727-3738 ◽  
Author(s):  
E. V. Polyachenko ◽  
P. Berczik ◽  
A. Just

2015 ◽  
Vol 75-76 ◽  
pp. 385-386
Author(s):  
A. Franeck ◽  
S. Walch ◽  
S.C.O. Glover ◽  
D. Seifried ◽  
P. Girichidis ◽  
...  
Keyword(s):  

Sign in / Sign up

Export Citation Format

Share Document