Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cemda..52..221g&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 52, no. 3, 1991, p. 221-240. Research supported by NSERC and
Astronomy and Astrophysics
Astronomy
28
Celestial Mechanics, Eccentric Orbits, Hamiltonian Functions, Many Body Problem, Numerical Integration, Numerical Stability, Solar System, Three Body Problem, Two Body Problem
Scientific paper
The use of symplectic integration algorithms in long-term integrations in the field of celestial mechanics is discussed. The methods' advantages and disadvantages (with respect to more common integration methods) are discussed. The numerical performance of the algorithms is evaluated using the two-body and circular restricted three-body problems. Symplectic integration methods have the advantages of linear phase error growth in the two-body problem (unlike most other methods), good conservation of the integrals of the motion, good performance for moderately eccentric orbits, and ease of use. Its disadvantages include a relatively large number of force evaluations and an inability to continuously vary the step size.
Candy Jeff
Duncan Martin
Gladman Brett
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