Title of article :
A pseudo third order symplectic integrator
Author/Authors :
Fu-yao، نويسنده , , Liu and Xin، نويسنده , , Wu and Ben-kui، نويسنده , , Lu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
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=1N εiHi (εi ≪ 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) + εH1(q), with accuracy better than that of the original symplectic integrator but not superior to that of the corresponding pseudo higher order symplectic integrator.
Keywords :
Numerical , celestial mechanics—methods
Journal title :
Chinese Astronomy and Astrophysics
Journal title :
Chinese Astronomy and Astrophysics