椭球面梯形面积的正反算问题研究  

RESEARCH IN FORWARD AND INVERSION ALGORITHM PROBLEM OF ELLIPSOID TRAPEZOID AREA

作　　者：吴燕冈[1] 申宁华[1] 陈丽虹[1] 范美宁 

机构地区：[1]长春科技大学地球探测与信息技术学院,长春130026

出　　处：《长春科技大学学报》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

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.

关 键 词：地图 等积投影 椭球面梯形面积 正反算公式 

分 类 号：P282.1[天文地球—地图制图学与地理信息工程]