## Vertical orbital structure around the Lagrangian points in barred galaxies## Link with the secular evolution of galaxies
^{1} Geneva Observatory, CH-1290 Sauverny, Switzerland^{2} ETSEIB, Departament Matemàtica Aplica I, Diagonal
647, Barcelona, Spain
The stability of the Lagrangian points and the vertical periodic
orbits around them is examined in the context of barred galaxies. A
transition from stability to complex instability appears for the
points and when the
strength of the bar is sufficiently large. The Hopf-like bifurcation
associated to such a transition is
## Contents- 1. Introduction
- 2. Barred galaxy potential
- 3. Equilibrium and stability diagram
- 4. Vertical motion around
- 5. Vertical motion around and
- 6. Lagrangian orbits in the plane
- 7. Diffusion from the corotation radius
- 8. Discussion
- 9. Conclusions
- Acknowledgements
- References
© European Southern Observatory (ESO) 1998 Online publication: June 2, 1998 |