We present the first galactic-scale model of the gas dynamics of the prototype barred Seyfert 1 galaxy NGC 1097 .
We use large scale FaNTOmM Fabry-Perot interferometric data covering the entire galactic disc and combine the distribution and kinematics maps with high resolution two-dimensional spectroscopy from the Gemini telescope .
We build a dynamical model for the gravitational potential by applying the analytic solution to the equations of motion , within the epicyclic approximation .
Our model reproduces all the significant kinematic and structural signatures of this galaxy .
We find that the primary bar is 7.9 \pm 0.6 kpc long and has a pattern speed of 36 \pm 2 \mbox { km s } ^ { -1 } \mbox { kpc } ^ { -1 } .
This places the corotation radius at 8.6 \pm 0.5 kpc , the outer Lindblad resonance at 14.9 \pm 0.9 kpc and two inner Lindblad resonances at 60 \pm 5 pc and 2.9 \pm 0.1 kpc .
These derivations lead to a ratio of the corotation radius over bar length of 1.0–1.2 , which is in agreement with the predictions of simulations for fast galaxy bars .
Our model presents evidence that the circumnuclear ring in this galaxy is not located near any of the resonance radii in this galaxy .
The ring might have once formed at the outer inner Lindblad resonance radius , and it has been migrating inward , toward the centre of the galactic gravitational potential .