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基于Matlab编程对最速降线问题的研究
引用本文:师玉荣,马君,马丽珍. 基于Matlab编程对最速降线问题的研究[J]. 物理与工程, 2012, 22(4): 11-15
作者姓名:师玉荣  马君  马丽珍
作者单位:中国海洋大学物理系,山东青岛,266000
摘    要:
利用Matlab编程对"最速降线"问题进行研究,得出了质点在重力场中沿起点、终点相同的不同轨道曲线运动的一些结论,通过关系曲线非常直观地表示出质点沿不同轨道运动的关系.

关 键 词:最速降线  旋轮线  关系曲线

RESEARCH ON BRACHISTOCHRONE PROBLEM BASED ON MATLAB PROGRAMMING
Shi Yurong , Ma Jun , Ma Lizhen. RESEARCH ON BRACHISTOCHRONE PROBLEM BASED ON MATLAB PROGRAMMING[J]. Physics and Engineering, 2012, 22(4): 11-15
Authors:Shi Yurong    Ma Jun    Ma Lizhen
Affiliation:Shi Yurong Ma Jun Ma Lizhen(Department of Physics,Ocean University of China,Qingdao,Shandong 266000)
Abstract:
We study the brachistochrone problem by Matlab programming,and obtain some conclusion about the curvilinear motions of a particle in gravity field along different tracks with the same starting point and ending point.The motion relationships along different tracks are visually represented by the relation curves.
Keywords:brachistochrone  cycloid  relation curve
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