A numerical study on the existence of stable motions near the triangular points of the real Earth-Moon system - A dynamical systems approach to the existence of Trojan motions

Astronomy and Astrophysics

Volumn 364, Issue 1, 2000, Pages 327-338

  Jorba, A ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Celestial mechanics; Stellar dynamics

Indexed keywords

EID: 0009825667     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. Arnold V., 1964, Soviet Math. Dokl. 5, 581
2. Arnold V., Kozlov V., Neishtadt A., 1988, Dynamical Systems III, Vol. 3 of Encyclopaedia Math. Sci., Springer, Berlin
3. Benettin G., Fassò F., Guzzo M., 1998; Regul. Chaotic Dyn. 3(3), 56
4. Castellà E., Jorba À., 2000, Cel. Mech. 76(1), 35
5. Celletti A., Giorgilli A., 1991, Cel. Mech. 50(1), 31
6. Companys V., Gómez G., Jorba À., et al., 1996, In: Alfriend K., Ross I., Misra A., Peters C. (eds.) AAS/AIAA Astrodynamics Conference, Advances in the Astronautical Sciences. Vol. 90, AAS, San Diego, USA, p. 1655
7. Cronin J., Richards P., Russell L., 1964, Icarus 3, 423
8. Díez C., Jorba À., Simó C., 1991, Cel. Mech. 50(1), 13
9. Freitas R., Valdes F., 1980, Icarus 42, 442
10. Giorgilli A., Delshams A., Fontich E., Galgani L., Simó C., 1989, J. Diff. Eq. 77, 167
11. Giorgilli A., Skokos C., 1997, A&A 317, 254
12. Gómez G., Jorba À., Masdemont J., Simó C., 1991, Study refinement of semi-analytical Halo orbit theory. ESOC contract 8625/89/D/MD(SC), final report, European Space Agency
13. Gómez G., Jorba À., Masdemont J., Simó C., 1993, Study of Poincaré Maps for Orbits near Lagrangian Points. ESOC contract 9711/91/D/IM(SC), final report, European Space Agency
14. Gómez G., Llibre J., Martínez R., Simó C., 1985, Station keeping of libration point orbits. ESOC contract 5648/83/D/JS(SC), final report, European Space Agency
15. Gómez G., Llibre J., Martínez R., Simó C., 1987, Study on orbits near the triangular libration points in the perturbed Restricted Three-Body Problem. ESOC contract 6139/84/D/JS(SC), final report, European Space Agency
16. Jorba À., 1998, Proceedings of the III International Symposium HAMSYS-98. Geometrical Methods in Hamiltonian Systems and Celestial Mechanics. Pátzcuaro (México), December 7-11, 1998, World Scientific (to appear).
17. Jorba À., 2000, Numerical computation of the normal behaviour of invariant curves of n-dimensional maps, preprint, 2000
18. Jorba À., Simó C., 1994, In: Seimenis J. (ed.), Hamiltonian Mechanics: Integrability and Chaotic Behaviour. NATO Adv. Sci. Inst. Ser. B Phys. Vol. 331, Toruń, Polland, 28 June-2 July 1993, Plenum, New York, p. 245
19. Jorba À., Villanueva J., 1997a, Nonlinearity 10, 783
20. Jorba À., Villanueva J., 1997b, J. Nonlinear Sci. 7, 427
21. Jorba À., Villanueva J., 1998, Phys. D 114, 197
22. Jorba À., Zou M., 2000, On the numerical integration of ODE by means of high-order Taylor methods, in preparation.
23. McKenzie R., Szebehely V., 1981, Cel. Mech. 23(3), 223
24. Meyer K.R., Hall G.R., 1992, Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Springer, New York
25. Niederman L., 1998, Nonlinearity 11(5), 1465
26. Schutz B., Tapley B., 1970, In: Giacaglia G. (ed.) Periodic Orbits, Stability and Resonances. D. Reidel Publishing Company, Dordrecht, Holland, p. 128
27. Shampine L.F., Gordon M.K., 1975, Computer solution of Ordinary Differential Equations. Freeman, San Francisco
28. Simó C., 1989, Mem. Real Acad. Cienc. Artes Barcelona 48(7), 303
29. Simó C., Jorba À., Masdemont J., Gómez G., 1995, In: Roy A., Steves B. (eds.) From Newton to Chaos. Plenum Press, New York, p. 343
30. Szebehely V., 1967, Theory of Orbits. Academic Press
31. Szebehely V., Premkumar R., 1982, Cel. Mech. 28, 195
32. Valdes F., Freitas R., 1983, Icarus 53, 453