Determination of a Gravimetric Geoid Model of Greece Using the Method of KTH

Daras, Ilias; Fan, Huaan; Papazissi, K.; Fairhead, J.D.

doi:10.1007/978-3-642-10634-7_54

Cited by 12 publications

(10 citation statements)

References 16 publications

(13 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It seems smoother LSM than the others. Although the differences between these methods may not be significant theoretically but practically they are as we can see most of the friends of the LSM methods use the ULSM (Ågren 2004) or OLSM (Ellmann 2005, Kiamehr 2006, Daras 2008and Abdallah 2009 in modifying Stokes' formula for geoid determination. The reason could be the sensitivity of these LSM methods to the terrestrial data which are responsible to recover high frequencies of the geoid.…”

Section: Test Of Cap Size Of Modificationmentioning

confidence: 99%

Least-squares modification of extended Stokes’ formula and its second-order radial derivative for validation of satellite gravity gradiometry data

Eshagh

2010

Journal of Geodynamics

View full text Add to dashboard Cite

To cite this version:Mehdi Eshagh. Least-squares modification of extended Stokes' formula and its second-order radial derivative for validation of satellite gravity gradiometry data. Journal of Geodynamics, Elsevier, 2010, 49 (2) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Abstract The gravity anomalies at sea level can be used to validate the satellite gravity gradiometry data. Validation of such a data is important prior to downward continuation because of amplification of the data errors through this process. In this paper the second-order radial derivative of the extended Stokes' formula is employed and the emphasis is on least-squares modification of this formula to generate the second-order radial gradient at satellite level. Two methods in this respect are proposed: a) modifying the second-order radial derivative of extended Stokes' formula directly, b) modifying extended Stokes' formula prior to taking the second-order radial derivative. Numerical studies show that the former method works well but the latter is very sensitive to the proper choice of the cap size of integration and degree of modification.

show abstract

Section: Test Of Cap Size Of Modificationmentioning

confidence: 99%

Least-squares modification of extended Stokes’ formula and its second-order radial derivative for validation of satellite gravity gradiometry data

Eshagh

2010

Journal of Geodynamics

View full text Add to dashboard Cite

show abstract

“…The geoid of each position in a location can be calculated to determine H for each position. According to a review of research related to the fitting of geoid undulation models, surface fitting has been performed with least squares collocation, neural networks, second-order curve-surface fitting, back-propagation neural networks (Akcin and Celik, 2013), multisurface function methods, genetic algorithms, least-squares support vector machines (Shen, 2011), and other artificial intelligence methods (Abdalla and Green, 2016;Abdalla and Elmahal, 2016;Daras, 2008;Ellmann, 2001;Ulotu, 2009). The fitting processes used in these geoid undulation modeling methods necessitate extensive computation and complex program development.…”

Section: Introductionmentioning

confidence: 99%

Using Particle Swarm Optimization to Establish a Local Geometric Geoid Model

et al. 2017

View full text Add to dashboard Cite

Abstract:There exist a number of methods for approximating the local geoid surface and studies carried out to determine a local geoid. In this study, performance of geoid by PSO method in modeling local geoid was presented and analyzed. The ellipsoidal heights (h), derived from GPS observations, and known orthometric heights from first-order bench marks were first used to create local geometric geoid model, then the PSO method was used to convert ellipsoidal heights into orthometric heights (H). The resulting values were used to compare between the spirit leveling and GPS methods. The adopted PSO method can improve the fitting of local geometric geoid by quadratic surface fitting method, which agrees with the known orthometric heights within ±1.02cmthe Cartography produced: General Map, Partial Maps, Profile, Cross Sections and others. Keywords: Particle swarm optimization (PSO); Quadratic surface fitting; Ellipsoidal height; Orthometric height. Resumo:Existe uma série de métodos para aproximar a superfície do geoide local bem como vários estudos conduzidos para determinar um geoide local. Neste estudo, apresentou-se e analisou-se o desempenho do geoide pelo método de otimização por exame de partículas (PSO, do inglês Particle Swarm Optimization) na modelagem do geoide local. As altitudes elipsoidais (h), derivada de observações GPS, e altitudes ortométricas de referências de nível de primeira ordem foram usados para criar um modelo do geoide geométrica local, na sequencia usou-se o método PSO para converter altitudes elipsoidais em altitudes ortométricas (H

show abstract

“…Recently local geoids were calculated e.g. for South Korea (Hwang et al, 2012), Greece (Daras et al, 2010), Japan (Kuroishi, 2009), Argentina (Corchete and Pacino, 2007), Egypt (Dawod, 2008), Tanzania (Olliver, 2007), New Zealand (Claessens et al, 2011), and Europe (Denker at al., 2009). Various methods and types of gravimetric data sets were used to calculate these geoids (Sideris, 1994).…”

Section: Introductionmentioning

confidence: 99%

A new geoid for Brunei Darussalam by the collocation method

Łyszkowicz¹,

Biryło²,

Bęcek³

2014

Geodesy and Cartography

View full text Add to dashboard Cite

Computation of a new gravimetric geoid in Brunei was carried out using terrestrial, airborne and altimetric gravity data and the EGM08 geopotential model by the collocation method. The computations were carried out by the "remove-restore" technique. In order to have better insight in the quality of input data the estimation of accuracy of the gravity data and geoid undulations from GPS/levelling data was carried out using EGM08 geopotential model. It shows a poor quality of GPS/levelling data. Result of the computation is the gravimetric geoid for the territory of Brunei computed by collocation method with an accuracy estimated below of ±0.3 m.

show abstract

Determination of a Gravimetric Geoid Model of Greece Using the Method of KTH

Cited by 12 publications

References 16 publications

Least-squares modification of extended Stokes’ formula and its second-order radial derivative for validation of satellite gravity gradiometry data

Least-squares modification of extended Stokes’ formula and its second-order radial derivative for validation of satellite gravity gradiometry data

Using Particle Swarm Optimization to Establish a Local Geometric Geoid Model

A new geoid for Brunei Darussalam by the collocation method

Contact Info

Product

Resources

About