广义Cuddeford系统的相容性准则
Consistency criteria for generalized Cuddeford systems
摘要：
检查分配的密度和各向异性配置文件的恒星系统的分布函数（相空间一致性）的积极性的一般标准是有用的出发点，在牛仔裤为基础的建模。在这里，我们大大扩展了以前的结果，我们提出的反演公式和分析的必要条件和充分条件的家庭的多组件Cuddeford球形系统的相空间的一致性：这些系统的每个密度分量的分布函数被定义为任意数量的Cuddeford分布函数与任意值的各向异性半径的总和，但相同的角动量指数。因此，通过这些模型可以实现的各向异性的径向趋势是非常普遍的。作为一个令人惊讶的副产品，我们的研究，我们发现，“中央尖点各向异性定理”（一个必要条件的一致性有关的中心密度斜率和各向异性参数的值）持有不仅在中心，但在所有半径一致的多组分广义Cuddeford系统。这最后一个结果表明，所谓的质量各向异性简并可能不像有时担心的那么严重。
英文摘要：
General criteria to check the positivity of the distribution function (phase-space consistency) of stellar systems of assigned density and anisotropy profile are useful starting points in Jeans-based modeling. Here we substantially extend previous results, and we present the inversion formula and the analytical necessary and sufficient conditions for phase-space consistency of the family of multi-component Cuddeford spherical systems: the distribution function of each density component of these systems is defined as the sum of an arbitrary number of Cuddeford distribution functions with arbitrary values of the anisotropy radius, but identical angular momentum exponent. The radial trend of anisotropy that can be realized by these models is therefore very general. As a surprising by-product of our study, we found that the ``central cusp-anisotropy theorem'' (a necessary condition for consistency relating the values of the central density slope and of the anisotropy parameter) holds not only at the center, but at all radii in consistent multi-component generalized Cuddeford systems. This last result suggests that the so--called mass--anisotropy degeneracy could be less severe than what is sometimes feared.
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