| 椭球面梯形面积的正反算问题研究 |
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| 引用本文： | 吴燕冈,申宁华,陈丽虹,范美宁.椭球面梯形面积的正反算问题研究[J].吉林大学学报(地球科学版),1999(4). |
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| 作者姓名： | 吴燕冈 申宁华 陈丽虹 范美宁 |
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| 作者单位： | 长春科技大学地球探测与信息技术学院!长春130026 |
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| 摘 要： | 在地图等积投影中，椭球面梯形面积的正、反算方法和精度是关键。目前常用的椭球面梯形面积正、反算公式，多为级数近似解形式。从基础理论出发，推导出显函数形式的精确正算公式（这在已收集到的国内外文献中尚未见到）和收敛较快的级数形式反算公式。精度分析表明：正、反算公式都正确无误，计算精度高于以往常用公式。最后对反算中级数公式的取项数与输入梯形面积的有效位数之间的关系作了有益的探讨
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| 关 键 词： | 地图等积投影 椭球面梯形面积 正、反算公式 |
RESEARCH IN FORWARD AND INVERSION ALGORITHM PROBLEM OF ELLIPSOID TRAPEZOID AREA |
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| Wu Yangang,Shen Ninghua,Chen Lihong,Fan Meining.RESEARCH IN FORWARD AND INVERSION ALGORITHM PROBLEM OF ELLIPSOID TRAPEZOID AREA[J].Journal of Jilin Unviersity:Earth Science Edition,1999(4). |
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| Authors: | Wu Yangang Shen Ninghua Chen Lihong Fan Meining |
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| Abstract: | In order to satisfy the requirement of high precision in map equiareal projection,the precise forward and inversion formulas of ellipsoid trapezoid area are studied out according to the basic theory.The former,which is in the form of apparent function,hasn't been founed in another articles;the latter,which is in the form of series expansion,convergences more quickly than the common inversion formula.The analysis of precision indicates the two formulas are correct and their precision is higher than any of the others. |
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| Keywords: | map equiareal projection ellipsoid trapezoid area direct and inverse calculate formula |
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