Analysis of linear resisted projectile motion using the Lambert W function

作者：Hu, H.^*; Zhao, Y. P.; Guo, Y. J.; Zheng, M. Y.

来源：Acta Mechanica, 2012, 223(2): 441-447.

DOI：10.1007/s00707-011-0571-2

• RANGE
• DRAG

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.

• 出版日期2012-2
• 单位湖南科技大学