An analytic inversion for anisotropic spherical galaxies
An analytic inversion for anisotropic spherical galaxies
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DOI：
10.1093/mnras/253.3.414
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发表时间：
1991-12
影响因子：
4.8
通讯作者：
P. Cuddeford
中科院分区：
文献类型：
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作者：
P. Cuddeford
得到了各向异性球形星系基本积分方程的Osipkov-Merritt反演的推广。对于任何密度分布，这种反演产生一个两个参数的分布函数与任意程度的径向和切向速度各向异性。因此，第一次，可以找到精确的分析模型，产生给定的密度分布，并具有切向速度各向异性。这个性质处理了许多各向异性球形星系模型所遇到的众所周知的径向轨道不稳定性
A generalization of the Osipkov-Merritt inversion of the fundamental integral equation for anisotropic spherical galaxies is obtained. For any density profile this inversion yields a two-parameter distribution function with arbitrary degrees of both radial and tangential velocity anisotropies. Therefore, for the first time, exact analytical models can be found which generate given density profiles and possess tangential velocity anisotropies. This property disposes of the well-known radial orbit instability encountered by many models of anisotropic spherical galaxies