Short time lyapunov indicators in the restricted three-body problem

Celestial Mechanics and Dynamical Astronomy

Volumn 79, Issue 1, 2001, Pages 29-40

  Sándor, Zsolt ^a,b   Balla, Róbert ^b   Téger, Ferenc ^b   Érdi, Bálint ^b  

^a KONKOLY OBSERVATORY   (Hungary)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Poincar 's surface of section; Restricted three body problem; Short time lyapunov indicators; Stretching numbers

Indexed keywords

EID: 8744230107     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011113928311     Document Type: Article

References (14)

1. Contopoulos, G.: 1971, 'Orbits in highly perturbed dynamical systems. III. Nonperiodic orbits', Astron. J. 76, 147.
2. Contopoulos, G. and Voglis, N.: 1996, 'Spectra of stretching numbers and helicity angles in dynamical systems', Celest. Mech. & Dyn. Astron. 64, 1.
3. Contopoulos, G. and Voglis, N.: 1997, 'A fast method for distinguishing between ordered and chaotic orbits', Astron. Astrophys. 317, 73.
4. Contopoulos, G., Voglis, N., Efthymiopoulos, C., Froeschlé, C., Gonczi, R., Lega, E., Dvorak, R. and Lohinger, E.: 1997, 'Transition spectra of dynamical systems' Celest. Mech. & Dyn. Astron. 67, 293.
5. Dermott, S. and Murray, C. D.: 1983, 'Nature of the Kirwood gaps in the asteroidal belt', Nature 301, 201.
6. Froeschlé, C., Froeschlé, Ch. and Lohinger, E.: 1993, 'Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping', Celest. Mech. & Dyn. Astr. 56, 307.
7. Froeschlé, C., Lega, E. and Gonczi, R.: 1997a, 'Fast Lyapunov indicators. Application to asteroidal motion', Celest. Mech. & Dyn. Astr. 67, 41.
8. Froeschlé, C., Gonczi, R. and Lega, E.: 1997b, 'The fast Lyapunov indicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt', Planet. Space Sci. 45, 881.
9. Lohinger, E.: 1997, in: R. Dvorak and J. Henrard (eds.), The Dynamical Behaviour of Our Planetary System, Kluwer Academic Publishers, Dordrecht, Holland, pp. 385-392.
10. Lohinger, E. and Froeschlé, C.: 1995, in: J. Hagel, M. Cunha and R. Dvorak (eds.), Perturbation Theory and Chaos in Nonlinear Dynamics with Emphasis to Celestial Mechanics, University of Vienna and Universidade da Madeira, pp. 119-131.
11. Patsis, P. A., Efthymiopoulos, C., Voglis, N. and Contopoulos, G.: 1997, 'Dynamical spectra of barred galaxies', Astron. Astrophys. 326, 493.
12. Shirts, R. B. and Reinhardt, W. P.: 1982, 'Approximate constants of motion for classically chaotic vibrational dynamics-vague tori, semiclassical quantization, and classical intramolecular energy flow', J. Chem. Phys. 77, 5204.
13. Szebehely, V. G.: 1967, Theory of Orbits, Academic Press, New York.
14. Voglis, N. and Contopoulos, G.: 1994, 'Invariant spectra of orbits in dynamical systems', J. Phys. A. 27, 4899.