Abstract This paper deals with the properties of the motion of the test particle (third body) which is moving in the outer layer of the heterogeneous body filled with the viscous fluid, under the influence of the heterogeneous body and the point mass. We have determined the gravitational potential between the heterogeneous body and the test particle and then evaluated the equations of motion of the test particle. Using the system of equations of motion we have evaluated the locations of equilibrium points in three cases (collinear, non-collinear and out-of-plane). Finally, we have examined the stability of these equilibrium points.

中文翻译：

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当最外层有粘性流体时，N层非均质不规则初生的一类Robe限制问题

摘要 本文研究了在异质体和点质量的影响下，在充满粘性流体的异质体外层中运动的测试粒子（第三体）的运动特性。我们已经确定了异质体和测试粒子之间的引力势，然后评估了测试粒子的运动方程。使用运动方程系统，我们评估了三种情况下（共线、非共线和平面外）平衡点的位置。最后，我们检查了这些平衡点的稳定性。