Non-canonical perturbations in symplectic integration

Celestial Mechanics and Dynamical Astronomy

Volumn 68, Issue 3, 1998, Pages 249-255

  Mikkola, Seppo ^a  

^a UNIVERSITY OF TURKU   (Finland)

Author keywords

Drag forces; Relativistic terms; Symplectic integration

Indexed keywords

EID: 0005502370     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008278821576     Document Type: Article

References (12)

1. Cordeiro, R. R., Gomes, R. S. and Vieira Martins, R.: 1997, 'A Mapping for Non-Conservative Systems', Celest. Mech. Dynam. Astron. 65, 407-419.
2. Funato, Y., Hut, P., McMillan, S. and Makino, J.: 1996, 'Time Symmetrized Kustaanheimo-Stiefel Regularization' Astron. J. 112, 1697-1708.
3. Hut, P., Makino, J. and McMillan, S.: 1995, 'Building a Better Leapfrog', Ap. J. 443, L93-L96.
4. Kinoshita, H., Yoshida, H. and Nakai. H.: 1991, 'Symplectic Integrators and their Application in Dynamical Astronomy', Celest. Mech. Dynam. Astron. 50, 59-71.
5. Liao, X.: 1997, 'Symplectic integrator for general near-integrable Hamiltonian system', Celest. Mech. Dynam. Astron. 66, 243-253.
6. Malhotra, R.: 1994, 'A Mapping Method for the Gravitational Few-Body Problem with Dissipation', Celest. Mech. Dynam. Astron., 60, 373-385.
7. Mikkola, S.: 1997, 'Practical Symplectic Methods with Time Transformation for the Few-Body Problem', Celest. Mech. Dynam. Astron. (in press).
8. Saha, P. and Tremaine, S. D.: 1992, 'Symplectic Integrators for Solar system Dynamics', Astron. J. 104, 1633-1640.
9. Saha, P. and Tremaine, S. D.: 1996, 'Long-Term Planetary Integration with Individual Timesteps', A. J. 108, 1962-1969.
10. Soffel, M. H.: 1989, Relativity in Astrometry, Celestial Mechanics and Geodesy, Springer-Berlin, p. 141.
11. Wisdom, J. and Holman, M.: 1991, 'Symplectic Maps for the N-Body Problem', Astron. J. 102, 1520.
12. Wisdom, J., Holman, M. and Touma, J.: 1996, 'Symplectic Correctors', Proc. Integration Methods in Classical Mechanics Meeting, Waterloo, October 14-18, 1993, Fields Institute Communications 10, p. 217.