A pseudo third order symplectic integrator

Details A pseudo third order symplectic integrator A pseudo third order symplectic integrator

Jan 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005cha%26a..29...92l&link_type=abstract

Chinese Astronomy and Astrophysics, Volume 29, Issue 1, p. 92-103.

Astronomy and Astrophysics

Astrophysics

3

Scientific paper

The symplectic integrator has been regarded as one of the optimal tools for research on qualitative secular evolution of Hamiltonian systems in solar system dynamics. An integrable and separate Hamiltonian system H = H0 + Σi=1NɛiHi (ɛi ≪ 1) forms a pseudo third order symplectic integrator, whose accuracy is approximately equal to that of the first order corrector of the Wisdom-Holman second order symplectic integrator or that of the Forest-Ruth fourth order symplectic integrator. In addition, the symplectic algorithm with force gradients is also suited to the treatment of the Hamiltonian system H = H0(q,p) + ɛH1(q), with accuracy better than that of the original symplectic integrator but not superior to that of the corresponding pseudo higher order symplectic integrator.

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