Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem

Details Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem

May 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002cemda..83..355y&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 83, Issue 1, p. 355-364 (2002).

Astronomy and Astrophysics

Astronomy

7

Symplectic Integration Method, Modified Hamiltonian, Modified First Integral, Kepler Problem, Runge-Lenz Vector

Scientific paper

Symplectic integration methods conserve the Hamiltonian quite well because of the existence of the modified Hamiltonian as a formal conserved quantity. For a first integral of a given Hamiltonian system, the modified first integral is defined to be a formal first integral for the modified Hamiltonian. It is shown that the Runge-Lenz vector of the Kepler problem is not well conserved by symplectic methods, and that the corresponding modified first integral does not exist. This conclusion is given for a one-parameter family of symplectic methods including the symplectic Euler method and the Störmer/Verlet method.

Affiliated with

Also associated with

No associations

Rating

Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem 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 Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Existence of the Modified First Integral by Symplectic Integration Methods II: Kepler Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1513729