Symplectic mapping for Trojan-type motion in the elliptic restricted three-body problem

Celestial Mechanics and Dynamical Astronomy

Volumn 86, Issue 4, 2003, Pages 301-319

  Sándor, Zsolt ^a   Érdi, Bálint ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

1:1 resonance; Elliptic restricted three body problem; Symplectic mappings; Trojan type motion

Indexed keywords

EID: 0038503662     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024552601635     Document Type: Article

References (21)

1. Brown, E. W. and Shook, C. A.: 1964, Planetary Theory, Dover Publications, New York.
2. Dvorak, R. and Tsiganis, K.: 2000, 'Why do Trojan ASCs (not) escape?', Celest. Mech. & Dyn. Astr. 78, 125-136.
3. Érdi, B.: 1979, 'The motion of the perihelion of Trojan asteroids', Celest. Mech. 20, 59-67.
4. Érdi, B.: 1997, 'The Trojan problem', Celest. Mech. & Dyn. Astr. 65,149-164.
5. Ferraz-Mello, S.: 1996, 'A symplectic mapping approach to the study of the stochasticity in asteroidal resonances', Celest. Mech. & Dyn. Astr. 65, 421-437.
6. Giorgilli, A. and Skokos, Ch.: 1997, 'On the stability of the Trojan asteroids', Astron. Astrophys. 317, 254.
7. Hadjidemetriou, J. D.: 1975, 'The stability of periodic orbits in the three-body problem', Celest. Mech. 12, 255-276.
8. Hadjidemetriou, J. D.: 1991, 'Mapping models for Hamiltonian systems with application to resonant asteroid motion'. In: A. E. Roy (ed), Predictability, Stability, and Chaos in N-Body Dynamical Systems, Plenum Press, New York, pp. 157-175.
9. Hadjidemetriou, J. D.: 1993, 'Asteroid motion near the 3:1 resonance', Celest. Mech. & Dyn. Astr. 56, 563-599.
10. Hadjidemetriou, J. D.: 1999, 'A symplectic mapping model as a tool to understand the dynamics of 2/1 resonant asteroid motion', Celest. Mech. & Dyn. Astr. 73, 65-76.
11. Holman, M. J. and Wisdom, J.: 1993, 'Dynamical stability in the outer solar system and the delivery of short period comets', Astron. J. 105, 1987-1999.
12. Levison, H., Shoemaker, E. M. and Shoemaker, C. S.: 1997, 'The dispersal of the Trojan asteroid swarm', Nature 385, 42-44.
13. Nobili, A. M., Milani, A. and Carpino, M.: 1989, 'Fundamental frequencies and small divisors in the orbits of the outer planets', Astron. Astrophys. 210, 313-336.
14. Roig, F. and Feraz-Mello, S.: 1999, 'A symplectic mapping approach of the dynamics of the Hecuba gap', Planet. Space Sci. 47, 653-664.
15. Sándor, Zs.: 2001a, 'A mapping model for the coorbital dynamics in the restricted three-body problem'. In: F. Freistetter, R. Dvorak and B. Érdi (eds), Proceedings of the 2nd Austrian Hungarian Workshop on Trojans and Related Topics, Eötvös University Press, Budapest, pp. 115-124.
16. Sándor, Zs.: 2001b, 'Mapping representations of the coorbital dynamics'. In: E. Forgács-Dajka and Zs. Sándor (eds), National Postgraduate Reunion in Astronomy and Astrophysics, Publ. Astron. Dept. Eötvös Univ. Vol. 11, pp. 29-34.
17. Sándor, Zs. and Morais, M. H.: 2001,'A mapping model for the coorbital problem'. In H. Pretka-Ziomek et al. (eds), Dynamics of Natural and Artificial Celestial Bodies, Kluwer Academic Publishers, Dordrecht, pp. 263-264.
18. Sándor, Zs., Érdi, B. and Murray, C. D.: 2002, 'Symplectic mappings of co-orbital motion in the restricted problem of three bodies', Celest. Mech. & Dyn. Astron. 84, 355-368.
19. Tsiganis, K., Dvorak, R. and Pilat-Lohinger, E.: 2000, 'Thersites a jumping Trojan?', Astron. Astrophys. 354, 1091-1100.
20. Wisdom, J.: 1982, 'The origin of the Kirkwood gaps: A mapping technique for asteroidal motion near the 3/1 commensurability', Astron. J. 87, 577-593.
21. Wisdom, J.: 1987, 'Urey Prize Lecture - Chaotic dynamics in the solar system', Icarus 72, 241-275.