A fourth-order solution of the ideal resonance problem

Details A fourth-order solution of the ideal resonance problem A fourth-order solution of the ideal resonance problem

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..221e&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 221-230.

Astronomy and Astrophysics

Astronomy

1

Equations Of Motion, Hamiltonian Functions, Numerical Integration, Pendulums, Resonance, Degrees Of Freedom, Elliptic Functions, Jacobi Matrix Method, Libration, Newton-Raphson Method

Scientific paper

The second-order solution of the ideal resonance problem, obtained by Henrard and Wauthier (1988), is extended to the fourth order. An explicit solution is derived for the Kepler equation in terms of elliptic integrals and functions. The fourth-order formal solution is compared with numerical solutions based on direct numerical integrations of equations of motion for two specific Hamiltonian systems.

Affiliated with

Also associated with

No associations

Rating

A fourth-order solution of the ideal resonance 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 A fourth-order solution of the ideal resonance problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A fourth-order solution of the ideal resonance problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1853089