Rings and spirals in barred galaxies. III. Further comparisons and links to observations
E. Athanassoula (1), M. Romero-Gomez (1,2), A. Bosma (1), J.J., Masdemont (3) ((1)LAM, Marseille (2) ICCUB-IEEC, Barcelona (3)MA1-UPC-IEEC,, Barcelona)

TL;DR
This paper advances a manifold-based theory explaining the formation of rings and spirals in barred galaxies, comparing predictions with observations and discussing implications for galaxy dynamics and evolution.
Contribution
It provides new observational comparisons and predictions for the manifold theory of rings and spirals, emphasizing the role of chaotic orbits confined by manifolds.
Findings
The theory accurately predicts the shape of bars and ansae.
Kinematic profiles along manifolds match observed data.
Chaotic orbits can form well-defined galactic structures.
Abstract
In a series of papers, we propose a theory to explain the formation and properties of rings and spirals in barred galaxies. The building blocks of these structures are orbits guided by the manifolds emanating from the unstable Lagrangian points located near the ends of the bar. In this paper, the last of the series, we present more comparisons of our theoretical results to observations and also give new predictions for further comparisons. Our theory provides the right building blocks for the rectangular-like bar outline and for ansae. We consider how our results can be used to give estimates for the pattern speed values, as well as their effect on abundance gradients in barred galaxies. We present the kinematics along the manifold loci, to allow comparisons with the observed kinematics along the ring and spiral loci. We consider gaseous arms and their relations to stellar ones. We…
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