Title: Downward continuation of Helmert gravity anomaly to precise determination of geoid in Iran
Abstract: The use of Stokes boundary values problems for the determination of the geoid requires that gravity anomalies (as boundary values) are known on geoid (as boundary). While, the gravity observations are measured on the Earth's surface, to obtain boundary data, the surface gravity anomalies does are downward from the terrain onto geoid. For downward continuation (DWC) of surface gravity anomalies, the Poisson integral can be used if the disturbing potential corresponding to gravity anomalies have harmonics everywhere above the geoid. But free-air gravity anomalies are non harmonics due to presence of (topographical+athmospherical) masses above the geoid. In the geoid accounting for the topography was first suggested by Helmert put in practice for example by Martinec and Vanicek (1994), and ultimately applied in the Stokes-Helmert scheme (Vanicek et. al, 1999). The second condensation method proposed by Helmert, involves the condensation of the topographic and atmospheric masses outside the geoid onto the geoid in the form of a surface layer. As the Helmert disturbing potential is harmonic above the geoid, we use the Poisson * ﻂﺑار هﺪﻧرﺎﮕﻧ
Publication Year: 2012
Publication Date: 2012-01-01
Language: en
Type: article
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