Regular motions in double bars. I. Double-frequency orbits and loops

Abstract

Bars in galaxies are mainly supported by particles trapped around stable periodic orbits. These orbits represent oscillatory motion with only one frequency, which is the bar driving frequency, and miss free oscillations. We show that a similar situation takes place in double bars: particles get trapped around parent orbits, which in this case represent oscillatory motion with two frequencies of driving by the two bars, and which also lack free oscillations. Thus the parent orbits, which constitute the backbone of an oscillating potential of two independently rotating bars, are the double-frequency orbits. These orbits do not close in any reference frame, but they map onto loops, first introduced by Maciejewski & Sparke (1997). Trajectories trapped around the parent double-frequency orbit map onto a set of points confined within a ring surrounding the loop.

10 pages, 6 figures, submitted to MNRAS

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• Loss of halo triaxiality due to bar formation
• Trapped and escaping orbits in an axially symmetric galactic-type potential
• Forming Double-barred Galaxies From Dynamically Cool Inner Disks
• Cosmic evolution of bars in simulations of galaxy formation
• Kinematic properties of double-barred galaxies: simulations vs. integral-field observations
• Regular motions in double bars. II. Survey of trajectories and 23 models
• Orbital Support of Fast and Slow Inner Bars in Double Barred Galaxies
• Dynamical evolution of two associated galactic bars