A modified Hermite integrator for planetary dynamics

Publications of the Astronomical Society of Japan

Volumn 56, Issue 5, 2004, Pages 861-868

  Kokubo, Eiichiro ^a   Makino, Junichiro ^b  

^a NATIONAL ASTRONOMICAL OBSERVATORY OF JAPAN   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Celestial mechanics; Methods: numerical

Indexed keywords

ERRORS; NUMERICAL METHODS; ORBITS;

CELESTIAL MECHANICS; HERMITE; KEPLER PROBLEM; LONG-TERM INTEGRATION; METHOD: NUMERICAL; PLANETARY ORBITS; SEMIMAJOR AXIS; SYMMETRICS; SYMPLECTIC INTEGRATORS; TIME STEP;

ASTROPHYSICS;

EID: 9544255679     PISSN: 00046264     EISSN: None     Source Type: Journal    
DOI: 10.1093/pasj/56.5.861     Document Type: Review

References (21)

1. Aarseth, S. J. 1985, in Multiple Time Scales, ed. J. U. Brackbill & B. I. Cohen (New York: Academic Press), 377
2. Aarseth, S. J. 2003, Gravitational N-Body Simulations (Cambridge: Cambridge University Press)
3. Alexander, S. G., & Agnor, C. B. 1998, Icarus, 132, 113
4. Cano, B., & Durán, A. 2003, Math. Comp., 72, 1803
5. Cano, B., & Sanz-Serna, J. M. 1997, SIAM J. Num. Anal., 34, 1391
6. Chambers, J. E. 1999, MNRAS, 304, 793
7. Duncan, M. J., Levison, H. F., & Lee, M. H. 1998, AJ, 116, 2067
8. Hut, P., Makino, J., & McMillan, S. 1995, ApJ, 443, L93
9. Iwasaki, K., Tanaka, H., Nakazawa, K., & Emori, H. 2001, PASJ, 53, 321
10. Kinoshita, H. 1968, PASJ, 20, 1
11. Kinoshita, H., Yoshida, H., & Nakai, H. 1991, Celest. Mech. Dyn. Astron., 50, 59
12. Kokubo, E., Yoshinaga, K., & Makino, J. 1998, MNRAS, 297, 1067 (KYM98)
13. Kominami, J., & Ida, S. 2002, Icarus, 157, 43
14. Makino, J. 1991, PASJ, 43, 859
15. Makino, J., & Aarseth, S. J. 1992, PASJ, 44, 141
16. Newmark, N. M. 1959, J. Eng. Mech. (EM3), 85, 67
17. Quinlan, G. D., & Tremaine, S. 1990, AJ, 100, 1694
18. Saha, P., & Tremaine, S. 1992, AJ, 104, 1633
19. Wisdom, J., & Holman, M. 1991, AJ, 102, 1528
20. Wood, W. L. 1990, Practical Time-stepping Schemes (Oxford: Clarendon Press)
21. Yoshinaga, K., Kokubo, E., & Makino, J. 1998, Icarus, 139, 328