关于椭球构型动力学含量的确定
On determining the kinetic content of ellipsoidal configurations
摘要：
确定星系、恒星和流体行星等结构的速度场是天体物理学和天文学中的一个相关主题。根据天体物理物体的形状，内部速度场可以通过分析方法获得。具体来说，当存在旋转时，椭球形配置是球对称质量分布的最简单和最自然的概括。本文给出了由可压缩流体组成的均匀椭球体的速度场和动能的封闭解析表达式。为了达到这个目的，求解了连续性连续性方程，从而描述了系统内的无旋速度场。这允许获得每个特定质量分布的动能的解析表达式。
英文摘要：
Determining the velocity field of structures such as galaxies, stars, and fluid planets is a relevant topic in astrophysics and astronomy. Depending on the shape of the astrophysical object, the internal velocity field may be obtained by means of analytical methods. Specifically, ellipsoidal configurations are the most simple and natural generalization of spherically symmetric mass distributions, when rotation is present. In this work one obtains closed analytical expressions of the velocity field and of the kinetic energy of uniform ellipsoidal configurations composed of compressible fluids. With this aim, the equation of continuity is solved allowing a description of the irrotational velocity field within the system. This permits obtaining analytical expressions of the kinetic energy for each specific mass distribution.
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