带有$N$重体和$k$轻体的飞机上的中心构型
Central configurations on the plane with $N$ heavy and $k$ light bodies
摘要：
研究了含$N$重体和含任意小质量$k$体的平面中心位形问题。我们导出了描述轻质量趋于零的极限的方程，它可以看作是各向异性平面中中心构型的方程。使用计算机严格计算，我们计算所有的中心配置$N=2$和$k=3,4$和衍生的极限问题。我们表明，结果是一致的。
英文摘要：
We study the problem of planar central configurations with $N$ heavy bodies and $k$ bodies with arbitrary small masses. We derive the equation which describe the limit of light masses going to zero, which can be seen as the equation for central configurations in the anisotropic plane. Using computer rigorous computations we compute all central configurations for $N=2$ and $k=3,4$ and for the derived limit problem. We show that the results are consistent.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
