论文标题
四体问题的轴对称中央配置，三个相等的质量
The Axisymmetric Central Configurations of the Four-Body Problem with Three Equal Masses
论文作者
论文摘要
在中央四体问题的研究的轴对称情况下，对称轴由两个不等的质量体定义，而其他两个物体则在此轴上对称位置，并且具有相等的质量。在这里，我们考虑了一个问题的特殊情况，并假设其中三个质量相等。使用最近发现的一般情况的分析解决方案，我们在分析上为三个相等质量的状态方程式制定，并通过数值求解它们。通过提供身体的坐标和质量，给出了问题的完整描述。我们还展示了三等分质量溶液与坐标空间中的一般情况的关系。还研究和讨论了配置的物理方面。
In the studied axisymmetric case of the central four-body problem, the axis of symmetry is defined by two unequal-mass bodies, while the other two bodies are situated symmetrically with respect to this axis and have equal masses. Here, we consider a special case of the problem and assume that three of the masses are equal. Using a recently found analytical solution of the general case, we formulate the equations of condition for three equal masses analytically and solve them numerically. A complete description of the problem is given by providing both the coordinates and masses of the bodies. We show furthermore how the three-equal-mass solutions are related to the general case in the coordinate space. The physical aspects of the configurations are also studied and discussed.
