Description
Recent observations have shown globular clusters to be systems of greater kinematic and morphological complexity than can be described using spherical non-rotating dynamical models. A new family of self-consistent models for quasi-relaxed stellar systems are presented, treating for the first time the case of asynchronous rotation within an external tidal field. Constructed as a double perturbation expansion of the classical King models, the resulting free boundary problem is solved via the method of matched asymptotic expansion. These models are found to possess a triaxial structure whose aspherical distortion increases with increased asynchronicity. It is hoped these models will provide a more realistic equilibrium description for use in investigations of the internal structure and kinematics of star clusters.
