Study of globular clusters by a method based on Fourier transforms
Abstract
A method is developed for describing the structure and evolution of stellar clusters with the aid of the Fourier transforms of the LiouvilleBoltzmann and Poisson equations. The solution of the resulting secondorder partial differential equation allows one to follow the evolution of the structure of globular clusters. The Fourier inverse over the spatial frequency and kinematic frequency space of the solutions of this equation give the distribution function in phase space characterizing the structure of the cluster in time. Knowledge of the inverse Fourier transform of the solutions in spatial frequency space allows obtaining by a simple derivation the successive moments of the velocity distribution.
 Publication:

Bulletin de l'Academie Royale de Belgique
 Pub Date:
 1975
 Bibcode:
 1975BARB...61..952T
 Keywords:

 Fourier Transformation;
 Globular Clusters;
 Stellar Evolution;
 BoltzmannVlasov Equation;
 Galactic Evolution;
 Liouville Equations;
 Partial Differential Equations;
 Poisson Equation;
 Spatial Distribution;
 Astrophysics