In the present paper, an effort to generalize the restricted problem of 2 + 2 bodies has been made by considering the primary bodies m₁ and m₂ to be a point mass and straight segment of length 2l, respectively. The motion of the two infinitesimal bodies m_i, i = 3, 4 has been investigated, in which each m_i, i = 3, 4 is moving in the gravitational field of m_j, j = 1, 2, 3, 4 with i ≠ j. For the present problem, 14 equilibrium points are obtained, of which 6 are collinear and the rest are noncollinear. The length parameter l has a subsequent effect on the location of all the equilibrium points. Systematic stability analysis has been carried out by using the theory of perturbation. All the equilibrium points are found to be unstable.

中文翻译：

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关于2 + 2直线段物体的受限问题的见解

在本文中，通过将主要体m ₁和m ₂分别视为点质量和长度为2 l的直线段，来尝试推广2 + 2体的受限问题。两个无穷小体的运动中号_我，我 = 3，4进行了研究，其中每个米_我，我 = 3，4中的引力场移动米_Ĵ，Ĵ  = 1，2，3，4与i  ≠  j。对于当前问题，获得了14个平衡点，其中6个是共线的，其余的是非共线的。长度参数l对所有平衡点的位置都有后续影响。利用扰动理论进行了系统稳定性分析。发现所有平衡点都是不稳定的。