CORRECTION TO HELMERT'S ORTHOMETRIC HEIGHT DUE TO ACTUAL LATERAL VARIATION OF TOPOGRAPHICAL DENSITY

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Robert Tenzer
Petr Vaníček

Resumo

Helmert (1890) used Poincaré-Prey's gravity gradient for the definition of the orthometric height. According to this approach the gravity value needed for the evaluation of the height is obtained from the observed gravity at the earth surface reduced to the mid-point between the earth surface and the geoid, considering that the gravity gradient is con-stant along the plumbline. Moreover, the mean topographical density p. = 2.67 g.cm -3 is assumed to approximate the actual distribution of topographical density. The correction to Helmert's orthometric height due to the lateral variation of topographical density has been introduced by VaníÄek et al. (1995). In this paper, some numerical aspects of this correction are investigated.

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TENZER, R.; VANÍČEK, P. CORRECTION TO HELMERT’S ORTHOMETRIC HEIGHT DUE TO ACTUAL LATERAL VARIATION OF TOPOGRAPHICAL DENSITY. Revista Brasileira de Cartografia, [S. l.], v. 55, n. 2, 2009. DOI: 10.14393/rbcv55n2-43494. Disponível em: https://seer.ufu.br/index.php/revistabrasileiracartografia/article/view/43494. Acesso em: 1 dez. 2022.
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Robert Tenzer, University of New Brunswick

Department of Geodesy and Geomatics Engineering, University of New Brunswick

Petr Vaníček, University of New Brunswick

Department of Geodesy and Geomatics Engineering, University of New Brunswick