A pseudo third order symplectic integrator

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

Nov 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004acasn..45..402l&link_type=abstract

Acta Astronomica Sinica, vol. 45, no. 4, p. 402-412

Astronomy and Astrophysics

Astronomy

3

Celestial Mechanics: Numerical Integration, Symplectic Integrator

Scientific paper

A symplectic integrator is viewed as promise of being a valuable tool in the numerical exploration of planetary and satellite n-body systems in the solar system dynamics. For a separable Hamiltonian system of the form H=H0+?Ni=1 ?iHi (?i«1), a pseudo-third-order symplectic integrator, is constructed, which is shown to be almost equivalent to the first order corrector of the second symplectic integrator or the fourth order symplectic integrator of Forest and Ruth. In addition, symplectic integrator with force gradients can be applied to the Hamiltonian in the manner H=H0(q, p)+ ? H1(q). As to the precision, the modified symplectic integrator is superior to the original one but no better than the corresponding pseudo-high-order one.

Affiliated with

Also associated with

No associations

Rating

A pseudo third order symplectic integrator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A pseudo third order symplectic integrator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A pseudo third order symplectic integrator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1008592