引力束缚系统的动力学层析成像
Dynamical tomography of gravitationally bound systems
摘要：
本文研究了从运动学观测中推导大系统动力学特征（如势场）的逆问题。我们表明，对于一类稳态系统，解决方案是唯一的，即使零碎的数据，暗物质，或选择（偏置）功能。使用球对称模型进行模拟，我们研究解决方案的收敛性和数据噪声和正则化的反问题的作用。我们还提出了一种方法，类似于层析成像，用于比较观察到的数据与模型概率分布，以便后者可以被确定。
英文摘要：
We study the inverse problem of deducing the dynamical characteristics (such as the potential field) of large systems from kinematic observations. We show that, for a class of steady-state systems, the solution is unique even with fragmentary data, dark matter, or selection (bias) functions. Using spherically symmetric models for simulations, we investigate solution convergence and the roles of data noise and regularization in the inverse problem. We also present a method, analogous to tomography, for comparing the observed data with a model probability distribution such that the latter can be determined.
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