摘要
为提高卫星测高反演重力场中央区效应的计算精度,以逆Vening-Meinesz公式为例,推导了包含4个网格的矩形中央区效应计算模型;基于"非奇异变换"思想,推导了中央区垂线偏差展开为泰勒级数式和二次多项式的非奇异变换法计算模型一和模型二。结果表明:矩形中央区积分法得到了与非奇异变换法模型一完全相同的中央区效应计算模型。设计了基于EGM2008模型数据的仿真计算,计算结果表明:该公式计算的重力异常中央区效应与将中央区视为圆域的传统方法算得的结果差值最大能够达到数个毫伽;与形式更为复杂的非奇异变换法算得的结果基本一致,说明在中央区效应计算中,使用矩形域中央区模型更为合理。
In order to improve the calculation accuracy of innermost area effect in using satellite altimetry to convert gravity field,and taking inverse Vening-M einesz formula for an example,the calculation model of singular transformation in the rectangle innermost area which includes four gridding is derived. The simulating calculation is designed based on EGM 2008 model.In conclusion the differences between the results gotten from the method used in this paper and traditional one,which take the innermost area as a circle,reach several m Gal;the results of singular and non-ingular transformation are almost equal,which means that taking the innermost area as a rectangle is more reasonable in innermost area effect calculation.
出处
《海洋测绘》
CSCD
2016年第2期6-9,共4页
Hydrographic Surveying and Charting
基金
国家自然科学基金(41474012)
海军大连舰艇学院科研发展基金资助项目(DJYKYKT2015-21)
