Abstract

The problem of motion of three connected rigid bodies in a homogeneous field of gravity forces (the generalization of the problem about motion of a gyroscope in gimbal suspension) is discussed. All steady motions of the system, their stability conditions, and branching are found. The results are presented in the form of bifurcation diagrams.

中文翻译：

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同质引力场中三个连通体系统的分叉分析

摘要

讨论了三个连接的刚体在均质重力场中的运动问题（关于陀螺仪在万向悬架中运动的问题的一般化）。找到系统的所有稳定运动，其稳定条件和分支。结果以分叉图的形式表示。