双曲约束下质点运动微分方程的建立与求解

The Establishing and Solving of Differential Equation of Particle Motion Under Hyperbolic Discipline

以双曲约束为基本约束 ,建立质点在该约束情况下的运动微分方程 ;利用特殊函数的性质及椭圆积分 ,求出了这一问题的解析解 ,并对质点在一般平面约束情况下的运动情况作出了简明分析 .

Th e differential equation of particle motion under the basic, hyperbolic disciplin e is established, and the analytic solution of this problem according to the fea ture of special function and elliptic integral are found. A brief analysis is al so made about the particles motioin under the discipline of ordinary plane.