| “飞越北极”最佳航线之探讨 |
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| 引用本文： | 王建生.“飞越北极”最佳航线之探讨[J].甘肃科学学报,2002,14(1):101-104. |
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| 作者姓名： | 王建生 |
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| 作者单位： | 甘肃中医学院数理教研室,甘肃,兰州,730000 |
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| 基金项目： | 2000年全国大学生数学建模竞赛甘肃赛区一等奖 |
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| 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”这一结论。
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| 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 |
| 文章编号： | 1004-0366(2002)01-0101-04 |
| 修稿时间： | 2001年10月19 |
AN APPROACH OF THE BEST AIRLINE "FLY TO THE ARCTIC POLE |
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| WNAG Jian-sheng.AN APPROACH OF THE BEST AIRLINE "FLY TO THE ARCTIC POLE[J].Journal of Gansu Sciences,2002,14(1):101-104. |
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| Authors: | WNAG Jian-sheng |
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| Abstract: | 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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| Keywords: | the arctic airline short arc sphere ellipsoid found model |
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