The stability of perfect elliptic disks. 1: The maximum streaming case

Details The stability of perfect elliptic disks. 1: The maximum streaming case The stability of perfect elliptic disks. 1: The maximum streaming case

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...428..493l&link_type=abstract

The Astrophysical Journal, vol. 428, no. 2, pt. 1, p. 493-510

Computer Science

Numerical Analysis

3

Distribution Functions, Elliptic Functions, Elliptical Orbits, Galactic Structure, Lenticular Bodies, Many Body Problem, Stability, Two Dimensional Bodies, Annealing, Computerized Simulation, Elongation, Numerical Analysis, Prolateness

Scientific paper

Self-consistent distribution functions are constructed for two-dimensional perfect elliptic disks (for which the potential is exactly integrable) in the limit of maximum streaming; these are tested for stability by N-body integration. To obtain a discrete representation for each model, simulated annealing is used to choose a set of orbits which sample the distribution function and reproduce the required density profile while carrying the greatest possible amount of angular momentum. A quiet start technique is developed to place particles on these orbits uniformly in action-angle space, making the initial conditions as smooth as possible. The roundest models exhibit spiral instabilities similar to those of cold axisymmetric disks; the most elongated models show bending instabilities like those seen in prolate systems. Between these extremes, there is a range of axial ratios 0.25 approximately less than b/a approximately less than 0.6 within which these models appear to be stable. All the methods developed in this investigation can easily be extended to integrable potentials in three dimensions.

Affiliated with

Also associated with

No associations

Rating

The stability of perfect elliptic disks. 1: The maximum streaming case 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 The stability of perfect elliptic disks. 1: The maximum streaming case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The stability of perfect elliptic disks. 1: The maximum streaming case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1862897