On the orbit structure of the logarithmic potential

Astrophysical Journal

Volumn 669, Issue 1, 2007, Pages 202-217

  Belmonte, C ^a   Boccaletti, D ^a   Pucacco, G ^b,c  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c INFN SEZIONE DI ROMA   (Italy)

Author keywords

Galaxies: kinematics and dynamics; Methods: analytical

Indexed keywords

EID: 39049146975     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/521423     Document Type: Article

References (44)

1. Belmonte, C., Boccaletti, D., & Pucacco, G. 2006, Celest. Mech. Dyn. Astron., 95, 101
2. Binney, J. 1981, MNRAS, 196, 455
3. Binney, J. Gerhard, O. E., & P. Hut, 1985, MNRAS, 215, 59
4. Binney, J., & Spergel, D. 1982, ApJ, 252, 308
5. Binney, J., & Tremaine, S. 1987, Galactic Dynamics (Princeton: Princeton Univ. Press)
6. Birkhoff, G. D. 1927, Dynamical Systems, Vol. 9 (New York: American Mathematical Society)
7. Boccaletti, D., & Pucacco, G. 1999, Theory of Orbits, Vol. 2 (Berlin: Springer)
8. Contopoulos, G. 1963, AJ, 68, 763
9. _. 1965, AJ, 70, 817
10. _. 1970, AJ, 75, 96
11. _. 1978, Celest. Mech. Dyn. Astron., 18, 195
12. Contopoulos, G. 2002, Order and Chaos in Dynamical Astronomy (Berlin: Springer)
13. Contopoulos, G., Efthymiopoulos, C., & Giorgilli, A. 2003, J. Phys. A, 36, 8639
14. Dehnen, W. 1993, MNRAS, 265, 250
15. Deprit, A. 1969, Celest. Mech., 1, 12
16. de Zeeuw, T., & Merritt, D. 1983, ApJ, 267, 571
17. Dragt, A., & Finn, J. M. 1976, J. Mathematika Phys., 17, 2215
18. Efthymiopoulos, C., Giorgilli, A., & Contopoulos, G. 2004, J. Phys. A, 37, 10831
19. Finn, J. M. 1986, in Local and Global Methods of Nonlinear Dynamics, ed. A. W. S'enz, W. W. Zachary, & R. Cawley (Berlin: Springer), 63
20. Fridman, T., & Merritt, D. 1997, AJ, 114, 1479
21. Gerhard, O., & Saha, P. 1991, MNRAS, 251, 449
22. Giorgilli, A. 2002, Notes on Exponential Stability of Hamiltonian. Systems (Pisa: Centro di Ricerca Matematica E)
23. Gustavson, F. 1966, AJ, 71, 670
24. Hori, G. I. 1966, PASJ, 18, 287
25. Jordan, D. W., & Smith, P. 1999, Nonlinear Ordinary Differential Equations (Oxford: Oxford Univ. Press)
26. Kaasalainen, M., & Binney, J. 1994a, MNRAS, 268, 1033
27. _. 1994b, Phys. Rev. Lett., 73, 2377
28. Koseleff, P. V. 1994, Celest. Mech. Dyn. Astron., 58, 17
29. Kummer, M. 1979, in Stochastic Behavior in Classical and Quantum Hamiltonian Systems, ed. G. Casati & J. Ford (Berlin: Springer), 57
30. Merritt, D. 1999, PASP, 111, 129
31. Merritt, D., & Valluri, M. 1996, ApJ, 460, 136
32. Meyer, K. R., & Hall, G. R. 1992, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem (Berlin: Springer)
33. Miralda-Escudé, J., & Schwarzschild, M. 1989, ApJ, 339, 752 (MES89)
34. Moser, J. 1968, Mem. Am. Math. Soc., 81, 1
35. Papaphilippou, Y., & Laskar, J. 1996, A&A, 307, 427
36. _. 1998, A&A, 329, 451
37. Sanders, J. A., & Verhulst, F. 1985, Averaging Methods in Nonlinear Dynamical Systems (New York: Springer)
38. Schwarzschild, M. 1979, ApJ, 232, 236
39. Scuflaire, R. 1995, Celest. Mech. Dyn. Astron., 61, 261 (S95)
40. Sridhar, S., & Touma, J. 1997, MNRAS, 287, L1
41. Tuwankotta, J. M., & Verhulst, F. 2000, SIAM J. Appl. Math., 61, 1369
42. Verhulst, F. 1996, Nonlinear Differential Equations and Dynamical Systems (Berlin: Springer)
43. Yanguas, P. 2001, Nonlinearity, 14, 1
44. Zhao, H. S., Carollo, C. M., & De Zeeuw, T. 1999, MNRAS, 304, 457