关于牛顿引力场的一个重要积分的解析表达式  

ON AN EXACT ANALYTICAL EXPRESSION OF THE IMPORTANT INTEGRAL OF THE NEWTONIAN GRAVITATIONAL FIELD

作　　者：赵政鸿 张曙[2] 罗耀煌[2] 赵永达[3] 

机构地区：[1]云南师大物理系 [2]云南大学物理系 [3]云南教育学院物理系

出　　处：《云南师范大学学报（自然科学版）》1993年第3期32-39,共8页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：本文将计算有限长椭圆柱体径向牛顿引力场的积分表达式中一个重要积分分解为八个反常积分,这八个积分可借助于三类椭圆函数一一积出。In this paper an important integral in the inlegral expression for calculating the Newtonian gravitational field of the finite elliptical cyinder was resolved into eight improper integrals. By use of three kinds of elliptical function the eight integrals were integraled all, therefore, an exact expression of important integral has been obtained.

关 键 词：牛顿引力场 椭圆函数 积分 

分 类 号：O412.1[理学—理论物理]