The integral solution of the Dirichlet's boundary value problem on the ellipsoid interface with the accuracy of O(T-2)
Yu Jin · Chinese Journal of Geophysics · 2004
The Dirichlet's boundary value problem on the ellipsoid interface is studied in this paper. Under the accuracy of O(e 4·T) , the integral solution of the problem is obtained, where e 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.