Numerical experiments on the efficiency of second-order mixed-variable symplectic integrators for N-body problems

Celestial Mechanics and Dynamical Astronomy

Volumn 65, Issue 4, 1996, Pages 355-371

  Michel, Patrick ^a   Valsecchi, Giovanni B ^a,b  

^a CNRS   (France)

^b IAS Planetologia   (Italy)

Author keywords

Numerical integrations; Symplectic integrators; Three body problem

Indexed keywords

EID: 26444436382     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf00049500     Document Type: Article

References (15)

1. Carusi, A., Kresák, L. and Valsecchi, G. B.: 1981, Astron. Astrophys. 99, 262.
2. Carusi, A., Kresák, L. and Valsecchi, G. B.: 1982, Bull. Astron. fnst. Czechosl. 33, 141.
3. Fox, K.: 1984, Celest. Mech. 33, 127.
4. Gladman., B., Duncan, M. and Candy, J.: 1991, Celest. Mech. 52, 221.
5. Kinoshita, H. and Nakai, H.: 1989, Celest. Mech. 45, 231.
6. Kinoshita, H., Yoshida, H. and Nakai, H.: 1991, Celest. Mech. 50, 59.
7. Levison, H. F. and Duncan, M. J.: 1994, Icarus 108, 18.
8. Petit, J. M., Hénon, M.: 1986, Icarus 66, 536.
9. Press, W. H., Teukolsky, S. A., Vetterling, W. T. and Flannery, B. P.: 1992, Numerical Recipes in Fortran: the Art of Scientific Computing, 2nd edition, Cambridge University Press.
10. Quinn, T., Tremaine, S. and Duncan, M.: 1990, Astroph. J. 355, 667.
11. Saha, P. and Tremaine, S.: 1992, Astron. J. 194, 1633.
12. Stoer, J. and Bulirsch, R.: 1980, Introduction to Numerical Analysis, Springer-Verlag, New York.
13. Szebehely, V.: 1967, Theory of Orbits, Academic Press, New York.
14. Wisdom, J. and Holman, M.: 1991, Astron. J, 102, 1528.
15. Yoshida, H.: 1993, Celest. Mech. 56, 27.