论文标题
平面对称中央配置的四个物体，模型和应用程序的表征
Characterization of planar symmetric central configurations of four bodies, models, and an application
论文作者
论文摘要
我们概述了基于角度的模型来研究四个物体的平面对称中央配置。我们提出模型以确定质量给定构型的形状和给定质量的配置的形状类型的质量。我们还描述了一种基于图的方法，用于在凹配置的情况下计数形状类型。作为应用程序，我们确定了包含地球和月亮质量物体的平面对称中央构型。
We overview angle-based models to study planar symmetric central configurations of four bodies. We present models to determine the masses given the shape of the configuration and the shape-type of the configuration given the masses. We also describe a diagram-based method for the counting of the shape-types in the case of the concave configurations. As an application, we determine planar symmetric central configurations containing bodies of Earth's and Moon's masses.
