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。
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.
出处
《长春科技大学学报》
CSCD
1999年第4期382-386,共5页
Journal of Changchun University of Science and Technology
基金
高等学校博士学科点专项科研基金
关键词
地图
等积投影
椭球面梯形面积
正反算公式
map equiareal projection,ellipsoid trapezoid area,direct and inverse calculate formula
