摘要
本文探讨了用测距三角高程求算正高或正常高高差时测站重力水准面的曲率改正，并论证了往返观测时地面垂线偏差ε对正高或正常高高差的影响值[ε_m-(ε_1+ε_2)/2]S_m恰好等于往返观测时水准面曲率不相等引起的改正，本文定名为水准面曲率不等差改正；该项改正也可用大地水准面上的天文大地垂线偏差u表示。该结论是测距三角高程理论中一个新的重要发现，是新的进展。本文在此基础上系统地论证了在不同高程系统中测距三角高程高差计算公式，进一步完善了目前已有的公式。
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This paper deals with the correction for curvature of geopotential surface of observing stations when orthometric or normal height differences are determined by EDM lev eling. It has proved that when direct and reversed observations are made, the effect of deflection of the vertical on orthometric or normal height dif ference is exactly equal to the correction for inequality of level surface curvatures of direct and reversed observing stations. This correction can also be expressed by astrogeodetic deflection u of the vertical on the geoid. This is a new discovery in the theory of EDM trigonometric leveling. On this basis, formulae for computing height differences of EDM trigonometric leveling in different height systems are derived, and the formulae now available are further perfected.
出处
《测绘学报》
EI
CSCD
北大核心
1991年第4期260-268,共9页
Acta Geodaetica et Cartographica Sinica
关键词
测距
三角高程
水准面
不等差
曲率
:EDM. Trigonometric Level. Gravity Level Surface. CurvatureInequality Correction
