有关地理纬度和地心纬度的换算问题

ON THE CONVERSION BETWEEN THE GEOCENTICRIC LATITUDE AND THE GEOGRAHPHIC LATITUDE

摘要:

本文简要地从地理纬度α与地心纬度φ的基本换算公式导出它的近似公式,并用最新的地球扁率值 e 给出基本公式中和近似公式中的换算系数β和γ,进而给出α-φ的换算新表。新旧两表最大可差5角秒(对应地面距离达150米)。这在一些对纬度换算精度要求较高的地学问题中是不容忽视的。本文最后还对近似公式做了简要讨论。

Abstract:

The approximated formula of conversion between the geocentric latitude and the geographic latitude from a basic formula is presented in this paper.And using the recent value of the ellipticity of the Earth(satellite orbit betermination method,1977),we have given the conversion coeffi-cients(βandγ)and a new α-φlist.There is some difference about 5 angle seconds(corresponding to the distance on the surface of the Earth-about 150 meters).It is not neglected for some aspects of GEONOMY to require higher precision of the latitude conversion.Finally,there is a brief discussion on some approximated formulas in this papaper.