EVALUATION OF THE VOLUME OF INTERSECTION OF A SPHERE WITH A CYLINDER BY ELLIPTIC INTEGRALS

被引：48

作者：

LAMARCHE, F

LEROY, C

机构：

[1] Physics Department, McGill University, Montreal

来源：

COMPUTER PHYSICS COMMUNICATIONS | 1990年 / 59卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0010-4655(90)90184-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it can be implemented numerically, and give examples of its usefulness for physics, as for example the fast evaluation of the number of participants in relativistic collisions of nuclei. © 1990.

引用

页码：359 / 369

页数：11

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