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复数在鱼雷或舰船平面运动规律研究中的应用
引用本文:毛俊超,李长文,张会.复数在鱼雷或舰船平面运动规律研究中的应用[J].数学的实践与认识,2014(1).
作者姓名:毛俊超  李长文  张会
作者单位:海军潜艇学院科研部;
摘    要:为了更方便地研究鱼雷、水面舰船等武器或装备的平面运动规律,运用复数的指数表示,在相应坐标系下对它们的运动规律进行描述,得到任意时刻的轨迹方程,从而利用复数的运算性质和数学分析的方法进行分析,不仅能简单明确的描述问题,又能很大程度地省去了直角坐标系下繁琐的运算过程,还可以直接在MATLAB环境实现相关的结果,从而为平面运动规律问题的研究提供了的更为方便的工具和方法,尤其是对解决有关转角运动的问题意义更大.

关 键 词:复数  平面运动  轨迹方程  弹道分析

Application of Comlplex in the Study of Plane Motion Law of Torpedo or Ship
Abstract:In order to more easily study the plane motion law of torpedoes,surface ships and other weapons or equipment,motion law of them was described in the corresponding coordinates with the complex exponential representation,and the trajectory equation at any moment was obtained,thus using operation properties of complex and the method of mathematical analysis,it can not only describe the problem simply and clearly,but also to a large extent,eliminate the tedious process of computing Cartesian coordinates,can also be implemented in the Matlab environment about the results,so as to provide a more convenient tools and methods to the plane motion laws,especially greater for solving angular motion.
Keywords:complex  plane motion  trajectory equation  ballistic analysis
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