中文摘要：

研究了最小二乘法求解3类卫星重力梯度边值问题的理论和方法，给出了3类梯度观测值{Гzz}、{Гxz、Гyz}和{Гxx-Гyy,2Гxy}对应边值问题解的核函数严密表达式。模拟试算结果表明，最小二乘法求解的卫星重力梯度积分公式用于恢复地球重力场是有效而严密的。

英文摘要：

The principle and method of solving three types of satellite gravity gradient boundary value problems by least-square are discussed in detail. And the kernel function expressions of least square solution of three geodetic boundary value problems with the observations are presented. From the results of recovery of gravity field using simulated gradient tensor data, a conclusion can be drawn that the satellite gravity gradient integral formula gotten from least square, used for recovering the gravity field, is valid and rigorous.