On the dynamical stability of the solar system

Astrophysical Journal

Volumn 683, Issue 2, 2008, Pages 1207-1216

  Batygin, Konstantin ^a   Laughlin, Gregory ^a,b  

^a University of California Santa Cruz   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Celestial mechanics; Methods: analytical; Methods: numerical; Planets and satellites: general; Solar system: general

Indexed keywords

EID: 51349097504     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/589232     Document Type: Article

References (23)

1. Arnold, V. I. 1961, Russian Mathematical Survey, 18, 85
2. Chambers, J. E. 1999, MNRAS, 304, 793
3. Ito, T., & Tanikawa, K. 2002, MNRAS, 336, 483
4. Laplace, P. S. 1799, Traité de Mécanique Céleste (Paris: Gauthier-Villars) Laskar, J. 1989, Nature, 338, 237
5. _. 1990, Icarus, 88, 266
6. _. 1994, A&A, 287, L9
7. _. 1996, Celest. Mech. Dyn. Astron., 56, 191
8. _. 2008, Icarus, 196, 1
9. Laughlin, G., & Adams, F. C. 2000, Icarus, 145, 614
10. Le Verrier, U. J. J. 1856, Ann. Obs. Paris, Vol. 2 (Paris: Mallet-Bachelet) Lorenz, E. N. 1963, J. Atmos. Sci., 20, 130
11. Malhotra, R., et. al. 1989, A&A, 221, 348
12. Murray, C. D., & Dermott, S. F. 1999, Solar System Dynamics (Cambridge: Cambridge Univ. Press)
13. Murray, N., & Holman, M. 1999, Science, 283, 1877
14. Namouni, F., & Murray, C. D. 1999, AJ, 117, 2561
15. Newcomb, S. 1891, Astronomical Papers of the American Ephemeris, 3, 395
16. Newhall, X. X., Standish, E. M., & Williams, J. G. 1983, A&A, 125, 150
17. Poincaré H. 1892, New Methods of Celestial Mechanics, Vol. 1 (Paris: Gauthier-Villars)
18. Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. 1992, Numerical Recipes in FORTRAN: The Art of Scientific Computing (Cambridge: Cambridge Univ. Press)
19. Quinn, T. R., Tremaine, S., & Duncan, M. J. 1991, AJ, 101, 2287
20. Sussman, G. J., & Wisdom, J. 1992, Science, 257, 58
21. Thornton, S. T., & Marion, J. B. 2004, Classical Dynamics of Particles and Systems (Belmont: Brooks/Cole)
22. Wisdom, J., & Holman, M. 1991, AJ, 102, 1528
23. Yoshida, H. 1993, Celest. Mech. Dyn. Astron., 56, 27