切断されたVening Meinesz関数の最適多項式

抄録

The infinite series of the expansion of Stokes' function in Legendre polynomials converges very slowly. Molodenskii et al [1] introduced a polynomial SN of degree less than N in order to improve the convergence of the series. They also applied derivatives of SN to the truncation of the deflection of the vertical as an approximation of Vening Meinesz' function. However, the derivatives of SN should not be treated as a polynomial which best fits Vening Meinesz' function. In the present paper, the author proposes the bestfitting polynomial for Vening Meinesz' function. The problem treated here is, in other words, an extension of the problem pointed out by de Witte [2].