The rigorous determination of orthometric heights

Tenzer, Róbert; Vaníček, Petr; Santos, Marcelo C.; Featherstone, Will; Kühn, Michael

doi:10.1007/s00190-005-0445-2

Cited by 67 publications

(57 citation statements)

References 16 publications

(9 reference statements)

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“…(1) is not exact due to the ignorance of the deflection of the vertical (ε). Nevertheless, it is accurate enough for most practical applications, because ε has a negligible influence (sub mmorder) on the orthometric height (Tenzer et al, 2005). …”

Section: Gnss/levellingmentioning

confidence: 99%

The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey

Yılmaz¹,

Turgut²,

Güllü³

et al. 2017

AKU-J. Sci. Eng.

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High-degree geopotential models of spherical harmonic coefficients are used for modelling the exterior gravity field of the Earth. These coefficients are derived from satellite tracking data, altimeter data, and terrestrial and airborne gravity data. Hundreds of thousands of coefficients and standard deviation values for these coefficients are estimated from millions of measurements. The geopotential model accuracy is affected by the amount, the distribution and the type of measurements. The satellite gravity field missions have provided accurate data forming geopotential models since 1960's. The geopotential models related to the satellite gravity field missions are experienced by interior validation (estimated error degree variances of fully-normalized coefficients) or outer validation (comparison of model based gravity anomalies and geoid heights with terrestrial measurements). In this paper, recent high-degree geopotential models are primarily explained and evaluated by GNSS/levelling data of a selected study area. The objective of this evaluation is to determine the high-degree geopotential model giving a better fit to the GNSS/levelling data over the study area for the contribution to the regional geoid determination studies in Turkey. Türkiye'de Bölgesel Jeoid Tespiti için Yüksek Dereceli Jeopotansiyel Modellerin Değerlendirilmesi Anahtar kelimelerJeoid; Jeopotansiyel model; GNSS/nivelman. ÖzetKüresel harmonik katsayılardan oluşan yüksek dereceli jeopotansiyel modeller Dünya'nın dış gravite alanının modellenmesi için kullanılır. Bu katsayılar uydu takip verisinden, altimetre verisinden ve yersel graviteden türetilir. Yüzbinlerce katsayı ve bu katsayıların standart sapma değerleri milyonlarca ölçümden hesaplanır. Jeopotansiyel modelin doğruluğu ölçümlerin miktarından, dağılımından ve türünden etkilenir. Uydu gravite görevleri, 1960 lardan beri jeopotansiyel modelleri oluşturan doğru veri sağlamaktadır. Uydu gravite görevleri ile bağlantılı jeopotansiyel modeller iç geçerlilik (tam normalleştirilmiş katsayıların hesaplanan hata derece varyansları) veya dış geçerlilik (model bazlı gravite anomalilerinin ve jeoid yüksekliklerinin yersel ölçüler ile karşılaştırılması) ile değerlendirilir. Bu çalışmada, güncel yüksek dereceli jeopotansiyel modeller öncelikli olarak açıklanmış ve seçilmiş bir çalışma alanında GNSS/nivelman verisi kullanılarak değelendirilmiştir. Bu değerlendirmenin amacı, Türkiye'deki bölgesel jeoid tespiti çalışmalarına katkıda bulunmak için, çalışma alanındaki GNSS/nivelman verisine daha iyi uyan yüksek dereceli jeopotansiyel modelin belirlenmesidir.

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Section: Gnss/levellingmentioning

confidence: 99%

The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey

Yılmaz¹,

Turgut²,

Güllü³

et al. 2017

AKU-J. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…(1) is not exact due to the ignorance of the deflection of the vertical (). Nevertheless, it is accurate enough for most practical applications, because  has a negligible influence (sub mm-order) on the orthometric height (Tenzer et al, 2005). …”

Section: Gnss/levellingmentioning

confidence: 99%

Evaluation of Recent Global Geopotential Models by GNSS/Levelling Data: Internal Aegean Region

Yılmaz

Turgut

Güllü

et al. 2016

International Journal of Engineering and Geosciences

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Global geopotential models of spherical harmonic coefficients are used to determine the external gravitational field of the Earth. These coefficients are derived from satellite orbit perturbations, terrestrial gravity anomalies and altimeter data. Hundreds of thousands of coefficients and standard deviation values for these coefficients are estimated from millions of observation. Measurement amount, homogenous distribution of the measurements of global scale, different measurement types reflecting the different frequencies of the gravity signal and measuringassessment techniques affect the model accuracy directly. Starting from 1960's and lasts to the present day and also gaining new acceleration with the satellite gravity field missions, every outcome of the studies related to the determination of the global Geopotential model is experienced by a series of validation tests. Accuracy of the model can either be determined from the estimated error degree variances concerning the coefficients (interior validation) or comparison of geoid heights, gravity anomalies, gravity disturbances and components of vertical deflection calculated from the model with terrestrial measurements directly (outer validation). In this paper, recent global geopotential models are primarily explained. Global geopotential models are compared with GNSS/levelling data of the study area. The objective of this comparison is to determine the best fit global geopotential model which will contribute to the study of Turkish geoid determination.

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“…Existem diversos métodos de redução gravimétrica, os quais variam segundo o tratamento dado as massas topográficas externas ao geóide (HWANG e HSIAO, 2003;TENZER et al, 2005) determinando os distintos tipos de altitude ortométrica.…”

Section: Altitude Ortométrica De Helmertunclassified

Estudo das correções gravimétricas para altitudes físicas aplicadas aos desníveis da RAAP

et al. 2013

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RESUMOA adoção de uma rede altimétrica consistente constitui uma importante necessidade dentro da modernização do sistema geodésico nos contextos brasileiro e sulamericano. Atualmente na Rede Altimétrica de Alta Precisão (RAAP) do Brasil aplica-se aos desníveis observados uma correção aproximada devido o não paralelismo das superfícies equipotenciais de forma a reduzir este erro, porém esta condição não assegura um significado físico para as altitudes. Buscando apresentar uma solução unívoca para a realização de sistemas altimétricos adota-se as altitudes físicas, as quais são fundamentadas no conhecimento do potencial da gravidade (W), baseado em importantes condições definidoras de um sistema vertical moderno. O presente trabalho tem como objetivo determinar e avaliar a magnitude das correções das altitudes dinâmica, ortométrica de Helmert e normal em uma linha de nivelamento pertencente à RAAP situada na região nordeste do estado do Rio Grande do Sul em um trajeto que possui 1.179,73 m de desnível. Os resultados obtidos na correção dos desníveis observados para as altitudes dinâmicas,

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The rigorous determination of orthometric heights

Cited by 67 publications

References 16 publications

The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey

The Evaluation of High-Degree Geopotential Models for Regional Geoid Determination in Turkey

Evaluation of Recent Global Geopotential Models by GNSS/Levelling Data: Internal Aegean Region

Estudo das correções gravimétricas para altitudes físicas aplicadas aos desníveis da RAAP

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