Abstract
Abstract A new solving method is studied by minimizing the quadratic functional in the paper. At first, the so-called calculus solution of over-detemined gedetic boundary value problem is introduced with help of variation principle, and various theoretical properties of it are discussed. Then the general way to compute it is given, and particularly, we can obtain its analytical expression under the case that boundary are all spheres. At last, an arithmetic example is constituted with EGM96 gravity model and computive result illustrates that the method can
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