海洋测绘2017，Vol.37Issue(4)：15-18,23,5.DOI:10.3969/j.issn.1671-3044.2017.04.003
三轴椭球表面积的近似计算
Approximate Calculations for the Surface Area of Triaxial Ellipsoid
摘要
Abstract
Formulas for the approximate calculation of the triaxial ellipsoid surface area (including the special cases of the oblate or rotational ellipsoids) were derived by series expansion.These formulas are symmetric and have more concise structures by introducing the eccentricity and the third flatting.In this way,the theory for calculating the surface area of all kinds of ellipsoids is improved.Analysis and numerical verification show that the new formulas provided in this study can significantly improve precision and are potential in various applications.关键词
三轴椭球/旋转椭球/表面积/级数展开/第三扁率Key words
triaxial ellipsoid/rotation ellipsoid/surface area/series expansion/the third flattening分类
天文与地球科学引用本文复制引用
过家春,申文斌,边少锋,纪兵..三轴椭球表面积的近似计算[J].海洋测绘,2017,37(4):15-18,23,5.基金项目
国家自然科学基金(41504031 （）
41631072 （）
41174011 （）
41429401) （）
东华理工大学江西省数字国土重点实验室开放研究基金(DLLJ201507) （DLLJ201507）
国家973项目(2013CB733305). （2013CB733305）
