The integral solution of the Dirichlet's boundary value problem on the ellipsoid interface with the accuracy of O(T2)

The Dirichlet's boundary value problem on the ellipsoid interface is studied in this paper. Under the accuracy of O(epsilon(4) . T), the integral solution of the problem is obtained, where epsilon(2) and T are the second eccentricity of the ellipsoid and the disturbing potential, respectively. The result is better than that of the spherical approximation. It provides a new approach to solve the boundary value problems in physical geodesy.