The role of the unstable equilibrium points in the transfer of matter in galactic potentials

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 12, 2009, Pages 4123-4138

  Romero Gomez M ^a   Masdemont, J J ^b   Garcia Gomez C ^c   Athanassoula, E ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^c UNIVERSITAT ROVIRA I VIRGILI   (Spain)

Author keywords

Galactic triaxial potentials; Hamiltonian systems; Invariant manifolds; Transfer of matter

Indexed keywords

AXISYMMETRIC; ENERGY LEVEL; EQUILIBRIUM POINT; GALACTIC TRIAXIAL POTENTIALS; HAMILTONIAN SYSTEMS; HETEROCLINIC ORBIT; HOMOCLINIC; INVARIANT MANIFOLDS; MODEL PARAMETERS; NEIGHBOURHOOD; PARTIAL NORMAL FORM; PERIODIC ORBITS; QUASI-PERIODIC; TRANSFER OF MATTER; TRIAXIAL SYSTEMS; UNSTABLE EQUILIBRIUM POINTS; ZERO VELOCITY;

CHAOS THEORY; GRAPH THEORY; MEATS; ORBITS; ROTATION;

HAMILTONIANS;

EID: 67349251615     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2008.07.013     Document Type: Article

References (21)

1. Gómez G, Jorba A, Masdemont JJ, Simó C. Study refinement of semianalytical halo orbit theory. ESOC contract 8625/89/D/MD(SC), final report; 1991.
2. Jorba A., and Masdemont J. Dynamics in the centre manifold of the collinear points of the restricted three-body problem. Physica D 132 (1999) 189-220
3. Gómez G., Jorba A., Masdemont J.J., and Simó C. Dynamics and mission design near libration points. Advanced methods for collinear points, vol. 3 (2001), World Scientific, Singapore
4. Koon W.S., Lo M.W., Marsden J.E., and Ross S.D. Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Chaos 10 2 (2000) 427-461
5. Gómez G., Koon W.S., Lo M.L., Marsden J.E., Masdemont J.J., and Ross S.D. Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Nonlinearity 17 (2004) 1571-1606
6. 1 ring structures in barred galaxies. Astron Astrophys 453 (2006) 39-45
7. Romero-Gómez M., Athanassoula E., Masdemont J., and García-Gómez C. The formation of spiral arms and outer rings in barred galaxies. Astron Astrophys 472 (2007) 63-75
8. Athanassoula E, Romero-Gómez M, Masdemont JJ. In preparation.
9. Lindblad B. On the possibility of a quasi-stationary spiral structure in galaxies. Stockholms Observatorium Ann 5 (1963) 1-20
10. Toomre A. Group velocities of spiral waves in galactic disks. Astrophys J 158 (1969) 899-913
11. Athanassoula E. The spiral structure of galaxies. Phys Rep 114 (1984) 319-403
12. Gustavson F.G. On constructing formal integrals of a Hamiltonian system near an equilibrium point. Astron J 71 (1966) 670-686
13. Miralda-Escudé J., and Schwarzschild M. On the orbit structure of the logarithmic potential. Astrophys J 339 (1989) 752-762
14. Belmonte C., Boccaletti D., and Pucacco G. On the orbit structure of the logarithmic potential. Astrophys J 669 (2007) 202-217
15. Binney J., and Tremaine S. Galactic dynamics (1987), Princeton University Press, New Jersey
16. Schwarzschild M. Triaxial equilibrium models for elliptical galaxies with slow figure rotation. Astrophys J 263 (1982) 599-610
17. Gidea M., and Masdemont J.J. Geometry of homoclinic connections in a planar circular Restricted Three Body Problem. Int J Bifuricat Chaos 17 (2007) 1151-1169
18. Buta R., and Crocker D.A. The outer Lindblad resonance and the morphology of early type disk galaxies. Astron J 102 (1991) 1715-1723
19. Pfenniger D. The 3D dynamics of barred galaxies. Astron Astrophys 134 (1984) 373-386
20. Athanassoula E., Morin S., Wozniak H., Puy D., Pierce M.J., Lombard J., et al. The shape of bars in early-type barred galaxies. Monthly Noticies R Astron Soc 245 (1990) 130-139
21. Athanassoula E., and Misiriotis A. Morphology, photometry and kinematics of N-body bars. I: Three models with different halo central concentrations. Monthly Noticies R Astron Soc 330 (2002) 35-52