The Kinematics and Velocity Ellipsoid Parameters of Open Star Clusters

Abstract

In terms of the equatorial coordinates, the galactic space velocity components were expressed in closed analyti- cal forms. With the aid of the vectors and matrices analyses expressions for the velocity ellipsoid parameters VEPs in closed analytical forms were also represented. For the computational developments, a general computational algorithm for the basic parameters from the exact solutions of the equations involved was used to compute the basic elements of the ve- locity ellipsoid and demonstrate the ability of the algorithm to produce accurate results.