Chaos in Hill's generalized problem: From the solar system to black holes

Astronomische Nachrichten

Volumn 326, Issue 5, 2005, Pages 356-361

  Selaru D ^a   Mioc, V ^b   Cucu Dumitrescu, C ^a   Ghenescu, M ^a  

^a INSTITUTE OF SPACE SCIENCES   (Romania)

^b ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

Author keywords

Celestial mechanics, stellar dynamics; Methods: analytical

Indexed keywords

EID: 21244483103     PISSN: 00046337     EISSN: None     Source Type: Journal    
DOI: 10.1002/asna.200410353     Document Type: Article

References (35)

1. Belbruno, E., Marsden, B.C.: 1997, AJ 113, 1433
2. Birkhoff, G.D.: 1927, Dynamical Systems, AMS, Providence, RI
3. Brunini, A.: 1996, CeMDA 64, 79
4. Chauvineau, B.: 1991, CeMec 51, 119
5. Chauvineau, B., Mignard, F.: 1990, CeMec 47, 123
6. Devaney, R.: 1986, An Introduction to Chaotic Dynamical Systems, Benjamin Cummings, Menlo Park, CA
7. Diacu, F., Holmes, P.: 1996, Celestial Encounters: The Origins of Chaos and Stability, Princeton Univ. Press, Princeton, NJ
8. Goldreich, P., Lithwick, Y., Saari, R.: 2002, Nature 420, 643
9. Guckenheimer, J., Holmes, P.: 1983, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-Verlag, New York
10. Hill, G.W.: 1878, AmJMa 1, 5, 129, 245
11. Jewitt, D.C., Sheppard, S.S.: 2002, AJ 123, 2110
12. Krolikowska, M., Sitarski, G., Szutowicz, S.: 1988a, A&A 335, 757
13. Krolikowska, M., Sitarski, G., Szutowicz, S.: 1988b, AcA 48, 91
14. Makó, Z., Szenkovits, F.: 2005, CeMDA, in press
15. Matas, V.: 1978, BAICz 29, 264
16. Melnikov, V.K.: 1963, Trans. Moscow Math. Soc. 12, 1
17. Moeckel, R.: 1992, CMaPh 150, 415
18. Murray, C.D., Dermott, S.F.: 1999, Solar System Dynamics, Cambridge Univ. Press, Cambridge, MA
19. Ni, C., Zheng, X.: 1988, in: M.J. Valtonen (ed.), The Few Body Problem, IAU Coll. 96, Kluwer Acad. Publ., Dordrecht, p. 49
20. Nusse, H.E., Yorke, J.A.: 1989, PhyD 36, 137
21. Poincaré, H.: 1899, Les méthodes nouvelles de la mécanique céleste, t. III, Gauthier-Villars, Paris
22. Robinson, C.: 1989, Ergodic Theory Dyn. Sys. 8, 395
23. Smale, S.: 1965, in: S.S. Cairns (ed.), Differential and Combinatorial Topology: A Symposium in Honor of Marston Morse, Princeton Univ. Press, Princeton, NJ, p. 63
24. Stoica, C., Mioc, V.: 1997, Ap&SS 249, 161
25. Sweet, D., Nusse, H.E., Yorke, J.A.: 2001, PhRvL 86, 2261
26. Szebehely, V.: 1967, Theory of Orbits: The Restricted Problem of Three Bodies, Academic Press, New York
27. Tedesco, E., Drummond, J., Candy, M., Birch, P., Nicoloff, I., Zellner, B.: 1978, Icarus 35, 344
28. Uzer, T., Jaffé, C., Palacián, J., Yanguas, P., Wiggins, S.: 2002, Nonli 15, 957
29. Vieira-Neto, E., Winter, O.C.: 2001, AJ 122, 440
30. Waalkens, H., Burbanks, A., Wiggins, S.: 2004, JPhA 37, L257
31. Wiggins, S.: 1992, Chaotic Transport in Dynamical Systems, Springer-Verlag, New York
32. Wiggins, S.: 1994, Normally Hyperbolic Invariant Manifolds in Dynamical Systems, Springer-Verlag, New York
33. Wiggins, S., Wiesenfeld, L., Jaffé, C., Uzer, T.: 2001, PhRvL 86, 5478
34. Yu, Q., Tremaine, S.: 2001, AJ 121, 1736
35. Zheng, X.T.: 1982, AcASn 2, 215