A semi-relativistic approach to the circular restricted three-body problem and a numerical experiment around the 3:2 resonance

Classical and Quantum Gravity

Volumn 23, Issue 3, 2006, Pages 673-682

  Guéron, Eduardo ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31644444953     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/23/3/008     Document Type: Article

References (38)

1. Danby J M A 1988 Fundamentals of Celestial Mechanics (Richmond, VA: Willmann-Bell)
2. Murray C D and Dermott S F 1999 Solar System Dynamics (Cambridge: Cambridge University Press)
3. Morbidelli A 2002 Modern Celestial Mechanics: Dynamics in the Solar System (London: Taylor and Francis)
4. Henon M 1966 Int. Astron. Union Symp. 25 157
5. Lemaitre A and Henrard J 1989 Celest. Mech. 43 91
6. Wisdom J 1982 Astron. J. 87 577
7. Hannay J 1985 J. Phys. A: Math. Gen. 18 221
8. Spallicci A, Morbidelli A and Metris G 2005 Nonlinearity 18 45
9. Chenciner A and Montgomery R 2000 Ann. Math. 152 881
10. de Sitter W 1916 Mon. Not. R. Astron. Soc. 77 155
11. de Sitter W 1917 Mon. Not. R. Astron. Soc. 77 481
12. Shapiro I I, Reasenberg R D, Chandler J F and Babcock R W 1988 Phys. Rev. Lett. 61 2643
13. Krefetz E 1967 Astron. J. 72 471
14. Rosswog S and Trautmann D 1996 Planet. Space Sci. 44 313
15. Brumberg V A 2003 Celest. Mech. 85 269
16. Wardell Z E 2003 Mon. Not. R. Astron. Soc. 341 423
17. Guéron E and Letelier P S 2004 Gen. Rel. Grav. 36 2107-22
18. Campanelli M, Dettwyler M, Hannam M and Lousto C O 2005 Preprint astro-ph/0509814
19. Ghez A M, Morris M, Becklin M E E, Tanner A and Kremenek T 2000 Nature 407 349
20. Wisdom J and Holman M 1991 Astron. J. 102 1528
21. Laskar J and Robutel P 2001 Celest. Mech. Dyn. Astron. 80 39
22. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
23. Bertschinger E 2002 Hamiltonian Dynamics of Particle Motion (Lecture Notes 8.962) (Cambridge, MA: MIT Press)
24. Kramer D and Neugebauer G 1980 Phys. Lett. A 75 259
25. Gueron E and Letelier P S 1994 Weyl solutions: solitons, strings and struts Proc. Silarg VIII vol 75 (Singapore: World Scientific) pp 259-61
26. Cooperstock F I and Booth D J 1969 Phys. Rev. 187 1796
27. Hulse R A and Taylor J H 1975 Astrophys. J. 195 L51
28. Barack L and Burko L M 2000 Phys. Rev. D 62 084040
29. Barack L and Lousto C O 2002 Phys. Rev. D 66 061502
30. Quinn T C and Wald R M 1997 Phys. Rev. D 56 3381
31. Mino Y, Sasaki M and Tanaka T 1997 Phys. Rev. D 55 3457
32. Spallicci A and Aoudia S 2004 Class. Quantum Grav. 21 S563
33. Quevedo H 1989 Phys. Rev. D 39 2904-11
34. Boisseau B and Letelier P S 2002 Gen. Rel. Grav. 34 1077-96
35. Abramowicz M A, Bulik T, Bursa M and Kluźniak W 2003 Astron. Astrophys. 404 L21-4
36. Lecar M and Aarseth S J 1986 Astrophys. J. 305 564
37. Ioka K, Chiba T, Tanaka T and Nakamura T 1998 Phys. Rev. D 58 063003
38. Burnell F, Malecki J J, Mann R B and Oht T 2004 Phys. Rev. E 69 016214