摘要
根据体谐函数一阶、二阶水平导数(广义球函数)也是球面正交函数系的性质,详细推导了水平重力梯度边值问题的级数解。根据扰动位与重力场元的微分关系,导出了由水平重力梯度计算重力异常、垂线偏差的公式。完善了全张量重力梯度的有关应用。
The solutions of boundary value problem of horizontal gravity gradient are deduced in detail, according to the property that the first and second horizontal derivatives of the spherical harmonics are also general spherical surface harmonics. The formulas for computing the gravity anomaly and the deflection of the vertical from horizontal gravity gradient are deduced according to differential relationship between disturbing potential and gravity quantities. This paper makes the application of full satellite gradiometry sensor more perfect.
出处
《海洋测绘》
2005年第6期12-14,共3页
Hydrographic Surveying and Charting
基金
全国优秀博士学位论文作者专项资金项目(200344)
河南省杰出人才创新基金(0321000100)
关键词
重力梯度张量
梯度边值问题
广义球谐函数
重力异常
垂线偏差
gravity gradient sensor
boundary value problem of satellite gradiometry
general spherical harmonics
gravity anomaly
deflection of the vertical
