Method to Compute the Vertical Deflection Components

Boyarsky, E. A.; Afanasieva, L. V.; Koneshov, V. N.

doi:10.1007/978-3-642-10634-7_55

Cited by 2 publications

(1 citation statement)

References 3 publications

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“…Chang et al [9] dealt with the innermost zone as a square domain and derived a formula for the innermost zone effects. They noted that these effects for a gravity anomaly depend on the gradients of the deflection components [26] and the size of the singular area. The actual data are usually distributed in a grid, and then the innermost zone can be approximated as a rectangle due to meridian convergence.…”

Section: Introductionmentioning

confidence: 99%

Non-Singular Transformation for Inverting Gravity Anomalies Using Satellite Altimetry Data

Zong

Bian

et al. 2021

IEEE Access

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Traditional measurement methods, like shipborne and aerial gravity measurements, cannot cover the entire sea area. Satellite altimetry provides large-scale and high-precision observational data, which can be inverted to give high-precision and high-resolution data on marine gravity anomalies. In this paper, to improve the precision of computing the innermost zone effects in gravitational altimetry data, the deflections of the vertical are expressed in the form of double cubic polynomials by treating the innermost zone as a rectangle, based on the inverse Vening Meinesz formula. Furthermore, formulas for computing gravity anomalies in the innermost zone are derived using a non-singular transformation. The numerical experiments show that the relative error of the algorithm in this paper, which uses a non-singular transformation, is less than 1.5%. Moreover, the practical computational results based on deflections of the vertical for data with a resolution of 2′ × 2′ from the South China Sea and its vicinity also demonstrate that gravity anomalies in the innermost zone have a non-negligible contribution when using a non-singular transformation. INDEX TERMSSatellite altimetry, non-singular transformation, gravity anomaly, inverse Vening Meinesz formula, deflection of the vertical, innermost zone effects This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.

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Section: Introductionmentioning

confidence: 99%

Non-Singular Transformation for Inverting Gravity Anomalies Using Satellite Altimetry Data

Zong

Bian

et al. 2021

IEEE Access

View full text Add to dashboard Cite

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National Report for the IAG of the IUGG 2011-2014

Savinykh¹,

Кафтан²,

Malkin³

et al. 2015

Geoinformatics Research Papers

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In this National Report are given major results of researches conducted by Russian geodesists in 2011-2014 on the topics of the International Association of Geodesy (IAG) of the International Union of Geodesy and Geophysics (IUGG). This report is prepared by the Section of Geodesy of the National Geophysical Committee of Russia. In the report prepared for the XXVI General Assembly of IUGG (Czhech Republic, Prague, 22 June -2 July 2015), the results of principal researches in geodesy, geodynamics, gravimetry, in the studies of geodetic reference frame creation and development, Earth's shape and gravity field, Earth's rotation, geodetic theory, its application and some other directions are briefly described. For some objective reasons not all results obtained by Russian scientists on the problems of geodesy are included in the report.В данном Национальном отчете представлены основные результаты исследований, проводимых российскими геодезистами в 2011-2014 гг., по темам, соответветствующим направлениям деятельности Международной ассоциации геодезии (МАГ) Международного геодезического и геофизического союза (МГГС). Данный отчет подготовлен Секцией геодезии Национального геофизического комитета Российской академии наук. В данном отчете, подготовленном к XXVI Генеральной ассамблее МГГС (Чехия, Прага, 22 июня -2 июля 2015 г.), представлены основные результаты исследований в области геодезии, геодинамики, гравиметрии, создания геодезических систем отсчета, формы и гравитационного поля Земли, вращения Земли, теории геодезии и ее приложений. По понятным причинам, в отчет были включены не все результаты, полученные российскими учеными в области геодезии.

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Method to Compute the Vertical Deflection Components

Cited by 2 publications

References 3 publications

Non-Singular Transformation for Inverting Gravity Anomalies Using Satellite Altimetry Data

Non-Singular Transformation for Inverting Gravity Anomalies Using Satellite Altimetry Data

National Report for the IAG of the IUGG 2011-2014

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