Precise geoid computation using Stokes-Helmert’s scheme and strict integrals of topographic effects

作者：Dongmei Guo,Huiyou He,Peng Sang

摘要：The high-precision local geoid model was computed based on the improved Stokes-Helmert0 s boundary value problem and strict integrals of topographic effects. This proposed method involves three steps.First, the mathematical form of Stokes-Helmert0 s boundary value problem was derived, and strict computational formulas regarding topographic effects were provided to overcome the disadvantage of planar approximations. Second, a gravimetric geoid model was constructed using the proposed StokesHelmert0 s scheme with a heterogeneous data set. Third, a least squares adjustment method combined with a multi-surface function model was employed to remove the bias between the gravimetric geoid model and the GNSS/leveling data and to refine the final local geoid model. The accuracy of the final geoid model was evaluated using independent GNSS/leveling data. Numerical results show that an external precision of 1.45 cm is achievable.

发文机构：State Key Laboratory of Geodesy and Earth's Dynamics

关键词：GEOIDCOMPUTATIONStokes-Helmert’smethodSurfaceintegrationHeterogeneousHEIGHTS

分类号： P223.0[天文地球—大地测量学与测量工程][天文地球—测绘科学与技术]