Abstract

In a non-standard setting, motion with respect to the center of mass of a spheroid with a cavity filled with a fluid of high viscosity is considered. The moment of forces acting on the body from the side of a viscous fluid in the cavity is determined by the technique developed in the works of F.L. Chernousko. As a result of original asymptotic and numerical calculations, solutions are obtained that describe the evolution of body motion over an infinite time interval with an asymptotically small error.

中文翻译：

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充满高粘度流体的空心球体的旋转演变

摘要

在非标准设置中，考虑相对于具有填充有高粘度流体的空腔的球体的质心运动。从空腔中的粘性流体一侧作用到人体上的力矩由FL Chernousko工作中开发的技术确定。作为原始渐近和数值计算的结果，获得了解决方案，这些解决方案描述了无限时间间隔内人体运动的演变，且渐近误差很小。