标题： 恒星星团成员的质量和速度分布：一种解析方法 显示英文标题

标题： On mass and velocity distributions in members of star clusters : An analytical approach

摘要： 星团中恒星质量分布的动力学演化通过同时考虑动力摩擦、随机加热以及由于星团中质量分布产生的引力势来分析。 提出了一种简单的动力摩擦表达式，该表达式能够充分描述高、低速度范围内的动力摩擦，并且可以通过非谐势描述星团中质量分布对测试质量动力学的影响。 借助能量考虑，我们描述了不同质量恒星的位置和速度弥散，展示了恒星在星团中的减速和质量分层如何演化。 结果以我们银河系星团的参数呈现。 显示英文摘要

摘要： Dynamical evolution of stellar mass distribution in star clusters is analysed by considering simultaneously the effects of dynamical friction, stochastic heating and the gravitational potential due to mass distribution in the clusters. A simple expression is suggested for the dynamical friction which adequately describes it in both high and low velocity ranges and the effect of mass distribution in the cluster on the dynamics of a test mass can be described by an anharmonic potential. With the help of energy considerations we describe the dispersions in position and in velocity for stars of different masses showing how the slowing down and mass segregation of stars evolve in the cluster. Results are presented with the parameters for the star clusters of our Galaxy.