Symplectic tangent map for planetary motions

Celestial Mechanics and Dynamical Astronomy

Volumn 74, Issue 1, 1999, Pages 59-67

  Mikkola, Seppo ^a   Innanen, Kimmo ^b,c  

^a UNIVERSITY OF TURKU   (Finland)

^b YORK UNIVERSITY   (Canada)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

Chaos; Liapunov exponents; Planetary systems; Symplectic integration

Indexed keywords

EID: 0009874417     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008312912468     Document Type: Article

References (8)

1. Kinoshita, H., Yoshida, H. and Nakai. H.: 1991, 'Symplectic integrators and their application in dynamical astronomy', Celest. Mech. Dyn. Ast. 50, 59-71.
2. Mikkola, S.: 1997, 'Practical symplectic methods with time transformation for the few-body problem', Celest. Mech. Dyn. Ast. 67, 145-165.
3. Mikkola, S. and Innanen, K.A.: 1995, 'Solar system chaos and the distribution of asteroid orbits', Mon. Not. R. Astr. Soc. 277, 497-501.
4. Mikkola, S., Palmer, P. L. and Hashida. Y.: 1999, 'A symplectic orbital estimator for direct tracking on satellites' (submitted).
5. Stiefel, E. L. and Scheifele, G.: 1971, Linear and Regular Celestial Mechanics, Springer.
6. Stumpff, K.: 1962, Himmelsmechanik, Band I, VEB Deutscher Verlag der Wissenschaften, Berlin.
7. Wisdom, J. and Holman, M.: 1991, 'Symplectic maps for the N-body problem', Astron. J. 102, 1520-1538.
8. Wisdom, J., Holman, M. and Touma, J.: 1997, 'Symplectic correctors', Proc. Integration Methods in Classical Mechanics Meeting, Waterloo, October 14-18, 1993, Fields Institute Communications 10, p. 217.