Abstract

The problem of motion in a free molecular flow of particles of a rigid body with a fixed point bounded by the surface of an ellipsoid of revolution is considered. Necessary existence conditions for an additional analytic first integral independent of the energy integral are obtained in this problem.

中文翻译：

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粒子流中旋转椭球面以不动点为界的刚体运动问题中附加积分的必要存在条件

摘要

考虑以旋转椭球体表面为界的具有固定点的刚体粒子的自由分子流中的运动问题。该问题得到了独立于能量积分的附加解析第一积分的必要存在条件。