翟振和, 孙中苗, 王兴涛, 刘晓刚. 利用级数展开法确定区域大地水准面的重力位[J]. 武汉大学学报 ( 信息科学版), 2013, 38(12): 1425-1429.
引用本文: 翟振和, 孙中苗, 王兴涛, 刘晓刚. 利用级数展开法确定区域大地水准面的重力位[J]. 武汉大学学报 ( 信息科学版), 2013, 38(12): 1425-1429.
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ZHAI Zhenhe, SUN Zhongmiao, WANG Xingtao, LIU Xiaogang. Local Geoid Gravitational Potential DeterminationUsing the Series Expanding Method[J]. Geomatics and Information Science of Wuhan University, 2013, 38(12): 1425-1429.
Citation: ZHAI Zhenhe, SUN Zhongmiao, WANG Xingtao, LIU Xiaogang. Local Geoid Gravitational Potential DeterminationUsing the Series Expanding Method[J]. Geomatics and Information Science of Wuhan University, 2013, 38(12): 1425-1429.
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利用级数展开法确定区域大地水准面的重力位

Local Geoid Gravitational Potential DeterminationUsing the Series Expanding Method

    摘要
  • 摘要: 利用级数展开思想,将地面测站重力位沿径向展开至大地水准面重力位并取至二阶项,从而间接获得W0,按照此思想采用波罗的海水准测量工程(1997-04)中GPS测站的数据开展了确定W0的实验。计算结果表明,EGM2008模型和WGD2000椭球谐模型(360阶次)在重力位一阶项的数值非常接近,其差在10-3量级,EGM2008模型获得的二阶项为10-5量级,其影响可以忽略。在测站地心坐标不变时,高程数据的变化对W0的确定影响较大,因此,准确测量测站的高程是确定W0的关键。利用5组GPS测站数据以及前360阶的EGM2008模型最终得到波罗的海区域大地水准面重力位W0值为62 636 857.23±０．４８ｍ2·s-2。

     

    Abstract: Gravitational potential can be expressed as a mathematical series,in which the firstsection is geoid potential-W0.This method was used to determine the Baltic Sea geoid poten-tial by using the GPS station data(1997-04).The results show that the first rank term com-puted by EGM2008is almost equal to the results computed by WGD2000(complete to degreeand order 360)while the difference is about a quantity of 10-3.The second rank term has aquantity of 10-5and can be omitted.In the case of changeless geocentric coordinates,the de-termination of W0is largely affected by changing height data,so it is important to accuratelydetermine the height of the GPS station.The W0value(62 636 857.23±０．４８ｍ2·s-2)ofBaltic sea study site is obtained by using five set of GPS stations and an EGM2008modelwith degree and order of 360.

     

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