New Formulae for Combined Spherical Triangles
New Formulae for Combined Spherical Triangles
复制标题
组合球面三角形的新公式
DOI：
10.1017/s0373463318000772
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发表时间：
2018-10
影响因子：
2.4
通讯作者：
Zhao Jiansen
中科院分区：
文献类型：
--
作者：
Hsieh Tsung Hsuan;Wang Shengzheng;Liu Wei;Zhao Jiansen
Spherical trigonometry formulae are widely adopted to solve various navigation problems. However, these formulae only express the relationships between the sides and angles of a single spherical triangle. In fact, many problems may involve different types of spherical shapes. If we can develop the different formulae for specific spherical shapes, it will help us solve these problems directly. Thus, we propose two types of formulae for combined spherical triangles. The first set are the formulae of the divided spherical triangle, and the second set are the formulae of the spherical quadrilateral. By applying the formulae of the divided spherical triangle, waypoints on a great circle track can be obtained directly without finding the initial great circle course angle in advance. By applying the formulae of the spherical quadrilateral, the astronomical vessel position can be yielded directly from two celestial bodies, and the calculation process concept is easier to comprehend. The formulae we propose can not only be directly used to solve corresponding problems, but also expand the spherical trigonometry research field.
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DOI：
10.1201/9780429287305-1
发表时间：
2020-11
期刊：
Fundamentals of Astronomy
影响因子：
--
作者：
C. Barbieri;I. Bertini
通讯作者：
C. Barbieri;I. Bertini
影响因子：
2
作者：
Chen, Chih-Li
通讯作者：
Chen, Chih-Li
影响因子：
2.4
作者：
Wei-Kuo Tseng;Wei-Jie Chang
通讯作者：
Wei-Kuo Tseng;Wei-Jie Chang
DOI：
--
发表时间：
2007-04
期刊：
--
影响因子：
--
作者：
John Karl
通讯作者：
John Karl
DOI：
--
发表时间：
1943
期刊：
--
影响因子：
--
作者：
D. H. Ballou;F. H. Steen
通讯作者：
D. H. Ballou;F. H. Steen