In this paper Robe-finite straight segment model is analyzed under the effects of viscosity and perturbations in the Coriolis and centrifugal forces. We have taken the first primary \(P_{1}\) as a rigid spherical shell \(m_{1}\) filled with viscous, homogeneous incompressible fluid of density \(\rho _{1}\), and the second primary \(P_{2}\) as a finite straight segment of length \(2l\). A third body of mass \(m_{3}\), moving inside \(m_{1}\) is a small solid sphere of density \(\rho _{3}\). We prove how the locations of equilibrium points \(L_{i}, i=1,2,\ldots ,5\) are affected by the presence of perturbation in the centrifugal force. However, these remain unaffected by the viscosity and perturbation in the Coriolis force. The stability criteria for \(L_{1,2}\) are investigated and it has been observed that their stability is affected by the viscosity and perturbation of the centrifugal force. It is prominently observed that the viscosity changes their nature of stability from being stable to asymptotically stable. The equilibrium points \(L_{3,4,5}\) are unstable irrespective of the perturbation and viscosity.

本文在黏性和摄动科里奥利力和离心力的作用下分析了有限长直段模型。我们已经将第一个主\（P_ {1} \）作为刚性球壳\（m_ {1} \）填充了粘性的，均质的不可压缩的密度为\（\ rho _ {1} \）的不可压缩流体，第二个主\（P_ {2} \）作为长度为\（2l \）的有限直段。在\（m_ {1} \）内部移动的第三质量块\（m_ {3} \）是密度为\（\ rho _ {3} \）的小实心球体。我们证明平衡点的位置\（L_ {i}，i = 1,2，\ ldots，5 \）受离心力扰动的影响。然而，这些仍然不受科里奥利力的粘度和扰动的影响。研究了\（L_ {1,2} \）的稳定性准则，并观察到它们的稳定性受粘度和离心力扰动的影响。突出地观察到，粘度将其稳定性从稳定改变为渐近稳定。平衡点\（L_ {3,4,5} \）不稳定，与扰动和粘度无关。