Geoid determination for the area of Poland by the least squares modification of Stokes_s formula

Kuczynska-Siehien, Joanna

doi:10.13168/agg.2015.0041

Cited by 13 publications

(9 citation statements)

References 11 publications

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“…All these models tie geocentric ellipsoid height with Kronsztadt normal heights system. The most recent models -geoidpol2008, geoidpol2008A, geoidpol2008C, PL-geoid-2011 -are based on the Earth Gravitational Model 2008 (EGM2008) and a set of extended satellite-leveling points (Kuczynska-Siehien et al, 2016). Nevertheless leveling geoid 2001 was created by fitting a gravimetric quasigeoid model quasi97b into the satellite-leveling quasigeoid model QGEOID'PL01.…”

Section: Performance Analysis Methodology and Resultsmentioning

confidence: 99%

Validation of regional geoid models for Poland: Lower Silesia case study

Stępniak

Baryła

Paziewski

et al. 2016

Acta Geodynamica Et Geomaterialia

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Nowadays, the high accuracy of the horizontal coordinates obtained from GNSS measurements is easily achievable. On the other hand, the precision of GNSS-derived heights is clearly lower. Nevertheless, state of the art measurement technique, field surveying equipment, data processing software and algorithms allow achieving millimeter-level accuracy for ellipsoidal heights. However, in order to obtain the normal heights from GNSS measurements, the application of precise quasigeoid model is necessary. Nowadays, there are several available guasiqeoid models covering the area of Poland, e.g. PL-geoid-2011; EGM2008; "leveling geoid 2001"; European Gravimetric Quasigeoid model EGG2008. In addition, a high-accuracy regional quasigeoid model for the Lower Silesia region was developed in 2015.In this paper, we investigate performance of the application of the selected quasigeoid models to satellite leveling on the basis of test precise leveling network established at the area of Lower Silesia in Poland. In this region, simultaneous precise geometric and satellite leveling measurements were carried out on over 1000 km of leveling lines and over 100 GNSS sites. The results show that the current relative accuracy of the most accurate geoid models is better than 10 mm.

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Section: Performance Analysis Methodology and Resultsmentioning

confidence: 99%

Validation of regional geoid models for Poland: Lower Silesia case study

Stępniak

Baryła

Paziewski

et al. 2016

Acta Geodynamica Et Geomaterialia

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“…For the ocean region, gravity anomalies from DTU13 with a 1-minute resolution have been utilised. More detailed information about the XGM2019e model can be found in Zingerle et al [16]. Notably, XGM2019e represents a significant improvement over its predecessor, EGM2008, in terms of its combined models with a maximum degree/order exceeding 2000, as documented by the ICGEM.…”

Section: Global Geopotential Modelmentioning

confidence: 98%

“…Instead, it modifies an initial geoid approximation to minimise modelling errors [15]. This method determines least-square parameters to minimise overall errors, thereby mitigating the impact of geoid modelling inaccuracies [16].…”

Section: Introductionmentioning

confidence: 99%

Evaluating the Impact of the Recent Combined and Satellite-Only Global Geopotential Model on the Gravimetric Geoid Model

Azmin,

Pa’suya,

Din

et al. 2024

IOP Conf. Ser.: Earth Environ. Sci.

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Geoid represents Earth’s surface, ocean, and gravitational field, which influence the elevations, shape, and mass distribution of the geopotential surface, a hypothetical surface that is perpendicular to the direction of gravity at every point. This geopotential surface serves as a reference for measuring elevations and is used as a fundamental reference surface for geodetic and surveying purposes. In this study, the Least Squares Modification of Stokes Formula (LSMS) with Additive Corrections (AC), also known as the KTH method, is used to generate a new gravimetric geoid model for Peninsular Malaysia. The KTH method was developed at the Royal Institute of Technology (KTH) in Stockholm-Sweden. The dataset used is the most recent global digital elevation model, Shuttle Radar Topography Mission (SRTM) 1 Arc-Second Global, generated by the National Aeronautics and Space Administration (NASA) and the National Imagery and Mapping Agency (NIMA). In addition to this elevation data, the dataset includes the Global Geopotential Model (GGM), which is composed of the XGM2016, XGM2019e, Tongji_GGMG2021S, and Tongji-Grace02k models. Furthermore, it incorporates sets of regional gravity data, including terrestrial gravity, airborne gravity, and marine gravity anomalies, all of which are derived from the Technical University of Denmark (DTU 21). The actual 45 Global Navigation Satellite System (GNSS)-levelling points data have been compared to the gravimetric geoid model developed in this study and the geoid acquired from Department of Survey and Mapping Malaysia (DSMM). According to the statistical results, NXGM2019e provides better accuracy, with the Root Mean Square Error (RMSE) geoid model errors of ±0.033 m, compared to the deviations in free-air anomalies, XGM2019e, which has the minimum RMSE of 10.291 mGal. Meanwhile, Tongji-GMMG2021S has the maximum RMSE of 14.792 mGal. The geoid is derived from the XGM2019e model and has maximum and minimum values of 0.032 m and 0.147 m, respectively, with mean residuals of 0.089 m. In conclusion, the XGM2019e has the potential to determine a precise local geoid model for Peninsular Malaysia

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“…The estimation of the reliability of the Network RTK solution is therefore one of the key elements (next to e.g. precise geoid model [8]) required for a credible use of this technique in precise measurement applications for the purposes of navigation, surveying, geodynamics or physical geodesy.…”

Section: Introductionmentioning

confidence: 99%

“…The solution availability and accuracy indicators are determined as values representative for a one-hour period in the form of the 95th percentile, based on the P S param-eters(8) and the resultant position estimation error on fixed solution, calculated from the formula:…”

mentioning

confidence: 99%

A new study of describing the reliability of GNSS Network RTK positioning with the use of quality indicators

Próchniewicz

Szpunar

Walo

2016

Meas. Sci. Technol.

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The method of precise GNSS positioning using corrections from a network of reference stations, the so-called Network RTK, is currently the most accurate real time kinematic positioning method. The reliability of this method is largely dependent on the accuracy of determination of network ionospheric and geometric corrections (taking into account the tropospheric refraction and orbit errors). There are many indexes describing the reliability of Network RTK positioning in the aspect of the accuracy of modelling these errors. The so-called solution quality indicators are used for this purpose. They are parameters determined in the central network pre-processing which provide quantitative information regarding the predicted reliability of the positioning in an area encompassed by a network of reference stations. Unfortunately, their interpretation is hindered due to the lack of connection with basic parameters describing precise positioning quality, i.e. the correctness of the carrier phase ambiguity resolution and the accuracy of the rover position. This study presents a new approach to the design of quality indicators for the Network RTK method, based on a quantitative description of two parameters—solution accuracy and availability. The presented method is based on the existing parameters describing the probability of the correct fixing of ambiguities and the estimation of the fixed baseline solution accuracy. However, a stochastic model of observation, taking into account the accuracy of network corrections is used for these calculations. The proposed method enables a full account of all parameters affecting the reliability of positioning, which is not possible with the currently applied methods. Numerical tests of the new indicators carried out for a part of the regional reference stations network confirmed the effectiveness of this approach. The proposed indicators provide much more clear identification of the time periods for which the reliability of the solution was lower compared to the existing quality indexes which indications were unclear and inaccurate.

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Geoid determination for the area of Poland by the least squares modification of Stokes_s formula

Cited by 13 publications

References 11 publications

Validation of regional geoid models for Poland: Lower Silesia case study

Validation of regional geoid models for Poland: Lower Silesia case study

Evaluating the Impact of the Recent Combined and Satellite-Only Global Geopotential Model on the Gravimetric Geoid Model

A new study of describing the reliability of GNSS Network RTK positioning with the use of quality indicators

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