摘要
物理大地测量中的Stokes问题需要用经验公式将地面上的重力归算到大地水准面上,这就给Stokes问题的准确性带来影响。而在Molodensky问题中,近似地形表面极不规则,边界条件又是斜微商条件,实际解算极不方便。本文针对上述二个问题的弱点,同时将Stokes问题和Molodensky问题各自的优点融为一体,提出一种以Taylor展开式的高阶项计算为基础的确定地球形状和外部重力场的方法。
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Stokes' problem in physical geodesy needs some practical formulas to compute gra vity on geoid by measured values on the surface of the earth which affects accuracy of Stoke' problem In Molodensky' s problem because tellurold is irregular and
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boundary condition is slope-differential, solving is inconvenient This paper sufficiently makes use of advantages of Stokes' problem and Molodensky' s problem, and proposes a new method determining shape of the earth and outer gravity field which is based on computing terms of high order in Taylor' s expansion This method not only has theoretical precision but also has property to compute conveniently in actual application
出处
《测绘学报》
EI
CSCD
北大核心
1992年第4期249-258,共10页
Acta Geodaetica et Cartographica Sinica
关键词
大地测量
非线性
高阶逼近
问题
:Nonlinear Molodensky's problem High order approach