中文摘要：

对球近似的大地测量边值问题，从扰动位的Poisson积分公式出发，推导了大地测量Stokes边值问题的重力异常球谐函数级数表达式，再基于虚功原理，将重力异常球谐函数级数表达式写为变分方程，即大地测量边值问题的自然积分方程，然后再用离散化技术，将所得到的自然积分方程转化为代数线性方程组，通过对代数线性方程组求解，即可得大地测量Stokes边值问题的数值解．

英文摘要：

In spherical approximation, disturbing potential of the geodetic boundary value problems, can be pointed out using poisson formula, we deduce spherical harmonic function series expressions of gravity anomaly of the geodetic Stokes boundary value problems . Based on the virtual-energy princi- ple, the spherical harmonic function series expressions of gravity anomaly can been written variational equation. That is the natural integral equations of the geodetic boundary value problems. Then using of discrete technology, the natural integral equations will be changed into a linear algebra equations. Through solving the algebra linear equations, we get the numerical solution of the geodetic Stokes boundary value problems .