地理学报 ›› 1957, Vol. 23 ›› Issue (4): 379-388.doi: 10.11821/xb195704003

• 论文 • 上一篇    下一篇

等面积纬度和等量纬度与地理纬度的关系

方俊   

  1. 中国科学院测量制图研究室
  • 出版日期:1957-10-15 发布日期:1957-10-15
  • 基金资助:

FORMULAE AND TABLES FOR CONVERSION OF THE GEOGRAPHICAL LATITUDE TO THE AUTHALIC AND ISOMETRIC LATITUDES

FANG TS躈   

  • Online:1957-10-15 Published:1957-10-15

摘要: 在绘画地图的经纬线网时,假若地图所表示的地面面积不很大,则我们往往可以假定地球是一个球面来投影。在这种情况下,投影公式巾不包含椭球面的因素,因此,公式简单而易于推算。

关键词:

Abstract: In this paper, the writer introduces the formulae to convert the geographical latitude on the ellipsoid to the authalic or equivalent latitude on the authalic sphere (formula 13 of the Chinese text) and the isometric latitude on the isometric sphere (formula 25). These formulae are obtained by series expansion, of which the term rnntaining the 6th power of the eccentricity of the ellipsoid has been omitted. The maximum error by neglecting this term amounts respectively to 0".Ol for the authalic latitude and 0".006 for the isometric. Two tables, one for conversion of geographical to authalic latitude and the other to isometric latitude are appended at the end of paper. They are calculated for the ellipsoid of Kras-sowski.