The power spectrum of geodesic divergences as an early detector of chaotic motion

Astronomy and Astrophysics

Volumn 359, Issue 1, 2000, Pages 386-396

  Vozikis, Ch L ^a   Varvoglis, H ^a   Tsiganis, K ^a  

^a ARISTOTLE UNIVERSITY OF THESSALONIKI   (Greece)

Author keywords

Celestial mechanics, stellar dynamics; Chaos; Methods: numerical

Indexed keywords

EID: 4243620877     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. Barbanis B., 1996, In: Contadakis M.E., Hadjidemetriou J.D., Mavridis L.N., Seiradakis J.H. (eds.), Proceedings of the 2nd Hellenic Astronomical Conference, Thessaloniki: P. Ziti & Co, p. 520-525
2. Barbanis B., Contopoulos G., 1995, A&A 294, 33
3. Barbanis B., Varvoglis H., Vozikis Ch., 1999, A&A 344, 879
4. Benettin G., Galgani L., Strelcyn J.M., 1976, Phys. Rev. A 14, 2338
5. Caranicolas N., Vozikis Ch., 1987, Cel. Mech. 40, 35
6. Caranicolas N., Vozikis Ch., 1999, A&A 349, 70
7. Contopoulos G., 1966, In: Nahon F., Hénon M. (eds.), Les Nouvelles Méthodes de la Dynamique Stellaire
8. Contopoulos G., Barbanis B., 1989, A&A 222, 329
9. Contopoulos G., Voglis N., 1997, A&A 317, 73
10. Contopoulos G., Voglis N., Efthymiopoulos C., et al., 1997, Cel. Mech. Dun. Astron. 67, 293
11. Dvorak R., Contopoulos G., Efthymiopoulos Ch., Voglis N., 1998, Planet. Space Sci. 46, 1567
12. Froeschlé C., 1984, Cel. Mech. 34, 95
13. Froeschlé C., Lega E., 1996, Cel. Mech. Dyn. Astron. 64, 21
14. Froeschlé C., Lega E., 1998, A&A 334, 355
15. Froeschlé C., Froeschlé Ch., Lohinger E., 1993, Cel. Mech. Dyn. Astron. 51, 135
16. Froeschlé C., Lega E., Gonzi R., 1997, Cel. Mech. Dyn. Astron. 67, 41
17. Hénon M., Heiles C., 1964, AJ 69, 73
18. Laskar J., 1990, Icarus, 88, 266
19. Laskar J., 1993, Physica D 67, 257
20. Laskar J., Froeschlé C., Celleti A., 1992, Physica D 56, 253
21. Lega E., Froeschlé C., 1996, Physica D 95, 97
22. Lohinger E., Froeschlé C. 1993, el. Mech. Dyn. Astron. 57, 369
23. Magnenat P., 1982, Cel. Mech. 28, 319
24. Milani A., Nobili A., 1992, Nat 357, 569
25. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P., 1992, Numerical Recipes in Fortran - The Art of Scientific Computing, 2nd ed., Cambridge: Cambridge University Press
26. Tsiganis K., Anastasiadis A., Varvoglis H., 2000a, Chaos Solit. & Fract., in press
27. Tsiganis K., Varvoglis H., Hadjidemetriou J.D., 2000b, Icarus, in press
28. Varvoglis H., Vozikis Ch., Barbanis B. 1997, In: Henrard J., Dvorak R. (eds.), The Dynamical Behaviour of Our Planetary System, Dordrecht: Kluwer
29. Voyatzis G., Ichtiaroglou S., 1992, J. Phys. A 25, 5931
30. Voglis N., Contopoulos G., 1994, J. Phys. A 27, 4899
31. Voglis N., Contopoulos G., Efthymiopoulos C., 1998, Phys. Rev. E 57, 372
32. Voglis N., Contopoulos G., Efthymiopoulos C., 1999, Cel. Mech. Dyn. Astron. 73, 211
33. Voglis N., Efthymiopoulos C., 1998, J. Phys. A 31, 2913