Global Height Datum Unification Using Geodetic Boundary Value Problems Algorithm

doi:10.13474/j.cnki.11-2246.2018.0115

Abstract

Abstract:

In order to unify height datums in different countries,an algorithm based on geodetic boundary value problems (GBVP) is presented,which utilizes satellite gravity field models,terrestrial gravimetric data,GNSS geodetic heights,orthometric heights or normal heights.First of all,the algorithm to determinate height datum geopotential difference using conventional terrestrial "biased" gravity anomalies is deduced.Secondly,the indirect biased term is neglected by using modified Stokes kernel function.A geoid that is not related to any local vertical datums is obtained by combining satellite-only gravity field models and terrestrial "biased" gravity anomalies.That independent geoid is then adapted to determinate height datum geopotential difference.At last,the geopotential difference between US vertical datum (NAVD88) and world geoidal geopotential W₀ is determined through GBVP by combining GNSS/leveling benchmark data and gravity geoid,which is about -4.82±0.05 m²s^-2.

Key words: height datum, height datum unification, geopotential difference, geodetic boundary value problems (GBVP), orthometric height, normal height

CLC Number:

ZHAO Dejun, XU Xinqiang, OUYANG Mingda. Global Height Datum Unification Using Geodetic Boundary Value Problems Algorithm[J]. 测绘通报, 2018, 0(4): 83-87.

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