Analysis of linear resisted projectile motion using the Lambert W function

被引：22

作者：

Hu, H. ^{[1
]}

Zhao, Y. P. ^{[1
]}

Guo, Y. J. ^{[1
]}

Zheng, M. Y. ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Hunan, Peoples R China

来源：

ACTA MECHANICA | 2012年 / 223卷 / 02期

基金：

中国国家自然科学基金;

关键词：

RANGE; DRAG;

D O I：

10.1007/s00707-011-0571-2

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We solve the linear resisted projectile motion problem using the Lambert W function. In the problem, the launching point is higher than the landing point. The explicit solutions for the range and optimal angle of elevation are expressed in terms of the Lambert W function. The two conclusions can be made for the same projectile: (i) The higher the launching point, the larger the range is. (ii) The higher the launching point, the smaller the optimal angle is.

引用

页码：441 / 447

页数：7

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