详细信息

“飞越北极”最佳航线之探讨     被引量:1

AN APPROACH OF THE BEST AIRLINE "FLY TO THE ARCTIC POLE

文献类型:期刊文献

中文题名:“飞越北极”最佳航线之探讨

英文题名:AN APPROACH OF THE BEST AIRLINE "FLY TO THE ARCTIC POLE

作者:王建生[1]

第一作者:王建生

机构:[1]甘肃中医学院数理教研室,甘肃兰州730000

第一机构:甘肃中医药大学

年份:2002

卷号:14

期号:1

起止页码:101

中文期刊名:甘肃科学学报

外文期刊名:Journal of Gansu Sciences

收录:CSTPCD

语种:中文

中文关键词:北极航线;旋转椭球体;数学建模;空间曲线;参数方程;数学软件;航程;飞行速度

外文关键词:the arctic airline; short arc; sphere; ellipsoid; found model

摘要:利用球面的参数方程和空间平面的四阶行列式方程建立基本模型 ,运用Mathematica数学软件进行公式推导 ,从而得到空间曲线的参数方程及其曲线积分式和近似解 ,对新旧航线作了详细的讨论 ,并用 C语言进行数据搜索 ,得出近似解。从数学上合理地解释了“飞越北极 ,北京到底特律的飞行时间可节省 4h”
By using the parametric equation of the sphere and the four matrices, a basic model was established and inferred with Mathematica software, so the approximation solutions of space curve parametric equation and its curve integral were obtained. The two airlines (the original and the new) were disussed in detail, and C language was used to search the data to get the solution. Our conclusion is that 4 hors can be saved from Beijing to Detroit if you fly to the arcitic pole.

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