| 球面大圆上最优点的算法与几何特征 |
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| 引用本文： | 张亭,陈刚.球面大圆上最优点的算法与几何特征[J].南通职业大学学报,2006,20(4):72-73,86. |
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| 作者姓名： | 张亭 陈刚 |
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| 作者单位： | 南通职业大学,基础部,江苏,南通,226007 |
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| 摘 要： | 运用球面几何理论,将平面规划中的一类经典问题推广到球面,建立了在球面大圆上寻求一点,到已知两点的距离之和最短的模型和算法,并得到了最优点坐标的计算公式以及最优点的几何求法,其结果在球面规划中有一定的应用。
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| 关 键 词： | 球面大圆 最优点 几何特征 |
| 文章编号： | 1008-5327（2006）04-0072-02 |
| 收稿时间： | 2006-08-31 |
| 修稿时间： | 2006年8月31日 |
The Algorithm and the Geometric Character of the Optimum Point on the Sphere |
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| ZHANG Ting,CHEN Gang.The Algorithm and the Geometric Character of the Optimum Point on the Sphere[J].Journal of Nantong Vocational College,2006,20(4):72-73,86. |
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| Authors: | ZHANG Ting CHEN Gang |
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| Abstract: | We generalize a kind of classical programming problems on the plane to the sphere,establish a model and the algorithm of finding the point on the major circle which make the sum of distances from it to the two known points is minimum,and obtain a coordinate calculation formula of the optimum point and the geometric method for finding this point.The results in this paper will be used in the spherical programming. |
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| Keywords: | the major circle of a sphere optimum point geometric character |
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