Explicit Symplectic Algorithms For Time-Transformed Hamiltonians

Details Explicit Symplectic Algorithms For Time-Transformed Hamiltonians Explicit Symplectic Algorithms For Time-Transformed Hamiltonians

Aug 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cemda..74..287m&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 74, Issue 4, p. 287-295 (1999).

Astronomy and Astrophysics

Astronomy

31

Symplectic Integration, Time&#8208, Transformation, Time&Hyphen

Scientific paper

By Hamiltonian manipulation we demonstrate the existence of separable time-transformed Hamiltonians in the extended phase-space. Due to separability explicit symplectic methods are available for the solution of the equations of motion. If the simple leapfrog integrator is used, in case of two-body motion, the method produces an exact Keplerian ellipse in which only the time-coordinate has an error. Numerical tests show that even the rectilinear N-body problem is feasible using only the leapfrog integrator. In practical terms the method cannot compete with regularized codes, but may provide new directions for studies of symplectic N-body integration.

Affiliated with

Also associated with

No associations

Rating

Explicit Symplectic Algorithms For Time-Transformed Hamiltonians 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 Explicit Symplectic Algorithms For Time-Transformed Hamiltonians, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit Symplectic Algorithms For Time-Transformed Hamiltonians will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1457107