Reduction of round-off error in symplectic integrators

Astronomical Journal

Volumn 121, Issue 3, 2001, Pages 1768-1775

  Fukushima, Toshio ^a  

^a NATIONAL ASTRONOMICAL OBSERVATORY OF JAPAN   (Japan)

Author keywords

Celestial mechanics; Methods: numerical; Solar system: general

Indexed keywords

EID: 0039250402     PISSN: 00046256     EISSN: None     Source Type: Journal    
DOI: 10.1086/319385     Document Type: Article

References (22)

1. Arakida, H., & Fukushima, T. 2000, AJ, 120, 3333
2. Brouwer, D. 1937, AJ, 46, 149
3. Dekker, T. J. 1971, Numer. Math., 18, 224
4. Earn, D. J. D., & Tremaine, S. 1992, Physica D, 56, 1
5. Evans, N. W., & Tremaine, S. 1999, AJ, 118, 1888
6. Fukushima, T. 1996a, AJ, 112, 1263
7. _. 1996b, AJ, 112, 1298
8. _. 1999, in IAU Colloq. 173, Evolution and Source Regions of Asteroids and Comets, ed. J. Svoren, E. M. Pittich, & H. Rickman (Tatranskaα Lomnica: Astron. Inst. Slovak Acad. Sci.), 309
9. Hairer, E., Nørsett, S. P., & Wanner, G. 1993, Solving Ordinary Differential Equations I (2d ed.; Berlin: Springer)
10. Jackson, J. 1924, MNRAS, 84, 602
11. Kinoshita, H., Yoshida, H., & Nakai, H. 1991, Celest. Mech. Dyn. Astron., 50, 59
12. Lambert, J. D., & Watson, I. A. 1976, J. Inst. Math. Applications, 18, 189
13. Milani, A., & Nobili, A. M. 1988, Celest. Mech., 43, 1
14. Petit, J.-M. 1998, Celest. Mech. Dyn. Astron., 70, 1
15. Quinlan, G. D. 1994, Celest. Mech. Dyn. Astron., 58, 339
16. Quinlan, G. D., & Tremaine, S. 1990, AJ, 100, 1694
17. Quinn, T., & Tremaine, S. 1990, AJ, 99, 1016
18. Sanz-Serna, J. M. 1992, Acta Numer., 1, 243
19. Vitagliano, A. 1997, Celest. Mech. Dyn. Astron., 66, 293
20. Wilkinson, J. H. 1960, Numer. Math., 2, 319
21. Wisdom, J., & Holman, M. 1991, AJ, 102, 1528
22. Yoshida, H. 1990, Phys. Lett. A, 150, 262