Efficient Lie-Poisson integrator for secular spin dynamics of rigid bodies

Astronomical Journal

Volumn 130, Issue 3, 2005, Pages 1267-1277

  Breiter, SŁawomir ^a   Nesvorný, David ^b   Vokrouhlický, David ^c  

^a ADAM MICKIEWICZ UNIVERSITY   (Poland)

^b SOUTHWEST RESEARCH INSTITUTE   (United States)

^c CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Celestial mechanics; Methods: numerical; Solar system: general

Indexed keywords

EID: 25844476221     PISSN: 00046256     EISSN: None     Source Type: Journal    
DOI: 10.1086/432258     Document Type: Article

References (55)

1. Atobe, K., Ida, S., & Ito, T. 2004, Icarus, 168, 223
2. Battin, R. H. 1987, An Introduction to the Mathematics and Methods of Astrodynamics (New York: AIAA)
3. Bertotti, B., Farinella, P., & Vokrouhlický, D. 2003, Physics of the Solar System (Dordrecht: Kluwer)
4. Budd, C., & Piggott, M. 2003, in Handbook of Numerical Analysis, Vol. 11, ed. P. Ciarlet & F. Cucker (Amsterdam: North Holland), 35
5. Čapek, D., & Vokrouhlický, D. 2004, Icarus, 172, 526
6. Colombo, G. 1966, AJ, 71, 891
7. Correia, A. C. M., & Laskar, J. 2001, Nature, 411, 767
8. _. 2003, Icarus, 163, 24
9. Correia, A. C. M., Laskar, J., & Néron de Surgy, O. 2003, Icarus, 163, 1
10. Dobrovolskis, A. R. 1980, Icarus, 41, 18
11. Dobrovolskis, A. R., & Ingersoll, A. P. 1980, Icarus, 41, 1
12. Everhart, E. 1985, in IAU Colloq. 83, Dynamics of Comets, ed. A. Carusi & G. B. Valsecchi (Dordrecht: Reidel), 185
13. Feynman, R. 1967, The Character of Physical Law (Cambridge: MIT Press)
14. Gladman, B., Quinn, D. D., Nicholson, P., & Rand, R. 1996, Icarus, 122, 166
15. Goldreich, P., & Peale, S. J. 1970, AJ, 75, 273
16. Hairer, E. 2001, BIT, 41, 996
17. Hairer, E., Lubich, C., & Wanner, G. 2003, Acta Num., 12, 399
18. Hamilton, D. P., & Ward, W. R. 2004, AJ, 128, 2510
19. Henrard, J., & Murigande, C. 1987, Celest. Mech., 40, 345
20. Iserles, A. 2001, Found. Comput. Math., 1, 129
21. Kaasalainen, M. 2004, A&A, 422, L39
22. Laskar, J. 1986, A&A, 157, 59
23. Laskar, J., Correia, A. C. M., Gastineau, M., Joutel, F., Levrard, B., & Robutel, P. 2004a, Icarus, 170, 343
24. Laskar, J., Levrard, B., & Mustard, J. F. 2002, Nature, 419, 375
25. Laskar, J., & Robutel, P. 1993, Nature, 361, 608
26. _. 2001, Celest. Mech. Dyn. Astron., 80, 39
27. Laskar, J., Robutel, P., Joutel, F., Gastineau, M., Correia, A. C. M., & Levrard, B. 2004b, A&A, 428, 261
28. McLachlan, R. I. 1996, Fields Inst. Commun., 10, 141
29. McLachlan, R. I., & Quispel, G. R. W. 2002, Acta Num., 11, 341
30. Néron de Surgy, O., & Laskar, J. 1997, A&A, 318, 975
31. Newcomb, S. 1895, Astron. Papers, 6, 2
32. Olver, P. J. 1993, in Graduate Texts in Mathematics, Vol. 107, ed. S. Axler, F. W. Gehring, & K. A. Ribet (New York: Springer), 378
33. Peale, S. J. 1969, AJ, 74, 483
34. _. 1974, AJ, 79, 722
35. Rochester, M. G. 1976, Geophys. J. RAS, 46, 109
36. Rubincam, D. P. 2000, Icarus, 148, 2
37. Rubincam, D. P., Rowlands, D. D., & Ray, R. D. 2002, J. Geophys. Res., 107, 3-1
38. Sheng, Q. 1989, IMA J. Num. Anal., 9, 199
39. Skoglöv, E. 1997, Planet. Space Sci., 45, 439
40. _. 1998, Planet. Space Sci., 47, 11
41. Slivan, S. M. 2002, Nature, 419, 49
42. Touma, J., & Wisdom, J. 1994a, AJ, 107, 1189
43. _. 1994b, AJ, 108, 1943
44. Vokrouhlický, D., Bottke, W. F., & Nesvorný, D. 2005, Icarus, 175, 419
45. Vokrouhlický, D., & Čapek, D. 2002, Icarus, 159, 449
46. Vokrouhlický, D., Nesvorný, D., & Bottke, W. F. 2003, Nature, 425, 147
47. Ward, W. R. 1973, Science, 181, 260
48. _. 1974, J. Geophys. Res., 79, 3375
49. _. 1975, Science, 189, 377
50. _. 1979, J. Geophys. Res., 84, 237
51. _. 1980, Icarus, 50, 444
52. Ward, W. R., & de Campli, W. M. 1979, ApJ, 230, L117
53. Ward, W. R., & Hamilton, D. P. 2004, AJ, 128, 2501
54. Whittaker, E. T. 1944, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (New York: Dover)
55. Wisdom, J., Holman, M., & Touma, J. 1996, Fields Inst. Commun., 10, 217