质点流中以旋转椭球面为界的固定点刚体运动问题中附加积分存在的必要条件

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2023-06-22 DOI:10.3103/S0027133023020048

M. M. Gadzhiev, A. S. Kuleshov

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引用次数: 0

摘要

研究了以旋转椭球表面为界的固定点刚体的自由分子流中的运动问题。得到了与能量积分无关的附加解析第一积分存在的必要条件。

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Necessary Existence Conditions for an Additional Integral in the Problem of Motion of a Rigid Body with a Fixed Point Bounded by the Surface of an Ellipsoid of Revolution in a Particle Flow

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.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.