Hamiltonian theory of nonlinear waves in planetary rings

Details Hamiltonian theory of nonlinear waves in planetary rings Hamiltonian theory of nonlinear waves in planetary rings

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987pggp.rept..124s&link_type=abstract

In NASA, Washington, Reports of Planetary Geology and Geophysics Program, 1986 p 124 (SEE N87-23341 16-91)

Mathematics

Density Wave Model, Hamiltonian Functions, Nonlinearity, Planetary Rings, Saturn (Planet), Transformations (Mathematics), Variational Principles, Wentzel-Kramer-Brillouin Method

Scientific paper

The derivation of a Hamiltonian field theory for nonlinear density waves in Saturn's rings is discussed. Starting with a Hamiltonian for a discrete system of gravitating streamlines, an averaged Hamiltonian is obtained by successive applications of Lie transforms. The transformation may be carried out to any desired order in q, where q is the nonlinearity parameter defined in the work of Shu, et al (1985) and Borderies et al (1985). Subsequent application of the Wentzel-Kramer-Brillouin Method approximation yields an asymptotic field Hamiltonian. Both the nonlinear dispersion relation and the wave action transport equation are easily derived from the corresponding Lagrangian by the standard variational principle.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian theory of nonlinear waves in planetary rings 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 Hamiltonian theory of nonlinear waves in planetary rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian theory of nonlinear waves in planetary rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-860013