In this work, we investigate the problem of constructing new integrable problems in the dynamics of the rigid body rotating about its fixed point as results of the effect of a combination of potential and gyroscopic forces possessing a common symmetry axis. We introduce two new integrable problems in a rigid body dynamics that generalize some integrable problems in this field, known by names of Chaplygin and Yehia–Elmandouh.

中文翻译：

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刚体-陀螺仪动力学的四次积分

在这项工作中，我们研究在刚体绕其固定点旋转的动力学中构造新的可积分问题的问题，这是势能和陀螺力共同拥有对称轴的结果。我们在刚体动力学中引入了两个新的可积分问题，它们概括了该领域中的一些可积分问题，它们的名称分别为Chaplygin和Yehia-Elmandouh。