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Abstract For a harmonic function in outer space，ellipsoid lay outside the disturbance T(u,θ,λ) can be expressed by a series of harmonic functions ellipsoid，said to T(u,θ,λ) along the normal（n）direction derivation，only to the various series contains u factor derivation Qmn(u)，and contain the factors：u,θ,λ include remain Tmn(b,θ,λ) unchanged（including b for constant).T〖SX（〗T〖〗n〖SX）〗,the linear combination of，unobserved ground ellipsoid coordinate u,θ,λ，can be used to establish respectively the first second and third boundary value equation，end for boundary conditions that observation of the surface of the earth，then the other end the series and generative Taylor series of Δu，including Δu=u-b.Due to the boundary conditions and Δu are known，then the equation of the ellipsoid Tmn(b,θ,λ) can be solved ，and then the disturbance (uR,θ,λ) on the ground point or in outer space are calculated.As the ellipsoid is not used as the sphere，and ellipsoid function and the series solution are used，the results with the solution are closer to the actual the earth.Moreover，the method combining ground observation data（such as elevation）can avoid difficult of the changeable in use of a single layer’s inclination.
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