Self-gravitating Symplectic Systems

Details Self-gravitating Symplectic Systems Self-gravitating Symplectic Systems

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...416..291r&link_type=abstract

Astrophysical Journal v.416, p.291

Astronomy and Astrophysics

Astronomy

5

Celestial Mechanics, Stellar Dynamics, Stars: Rotation

Scientific paper

The Riemann ellipsoidal model of self-gravitating systems assumes that the velocity field is linear. The symplectic model eliminates this restrictive ansatz while still retaining much of the simplicity of the original Riemann model. The kinetic energy of a Riemann ellipsoid is its linear velocity field value; the kinetic energy in the symplectic model is the exact expression. The Riemann hydrodynamic equations form a Hamiltonian dynamical system on co-adjoint orbits of a 15-dimensional Lie subgroup GCM(3) of the noncompact symplectic group Sp(3R). A symplectic model phase space is a co-adjoint orbit of the more general 21-dimensional group Sp(3,R). The Hamiltonian dynamics of self-gravitating symplectic systems is derived and proved to form a Lax system. But a symplectic system is not proved in this article to be a particular solution to the perfect fluid equations. A self-gravitating symplectic system approximates the dynamics of rotating stars and galaxies if the macroscopic symplectic degrees of freedom are adiabatically decoupled from the intrinsic individual particle degrees of freedom.

Affiliated with

Also associated with

No associations

Rating

Self-gravitating Symplectic Systems 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 Self-gravitating Symplectic Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-gravitating Symplectic Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1324723