Approximation of gravitational calculation based on analytical models

Gravity meters can be used to measure all effects that make up the Earth’s gravity field. Many of these effects are caused by known sources such as the Earth’s rotation, distance from the Earth’s center, topographic relief, and tidal variation. Physical fields are the main component of many centuri...

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Main Authors: Ashraf A. A. Beshr, Fawzi H. Zarzoura
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2022-10-01
Series:Geodesy and Cartography
Subjects:
Online Access:https://limes.vgtu.lt/index.php/GAC/article/view/14854
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author Ashraf A. A. Beshr
Fawzi H. Zarzoura
author_facet Ashraf A. A. Beshr
Fawzi H. Zarzoura
author_sort Ashraf A. A. Beshr
collection DOAJ
description Gravity meters can be used to measure all effects that make up the Earth’s gravity field. Many of these effects are caused by known sources such as the Earth’s rotation, distance from the Earth’s center, topographic relief, and tidal variation. Physical fields are the main component of many centuries of the paradigm of all of Earth Sciences. The changing gravitational field is very important subject of research in the scientific aspect and practical. This paper applies two analytical models to simplify the gravitation calculation, which are sphere and cone models. Examples and finite element applications for the two models are studied also and discussed. The results of this study reveal that the possibility of using the proposed method with using presented analytical, finite element and numerical models to estimate the better determination of the characteristics of the local gravity of natural and man-made objects of sizes up to several tens of kilometers.
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spelling doaj.art-eb12edea54474c82b79d25ec9209dd512022-12-22T04:32:23ZengVilnius Gediminas Technical UniversityGeodesy and Cartography2029-69912029-70092022-10-0148310.3846/gac.2022.14854Approximation of gravitational calculation based on analytical modelsAshraf A. A. Beshr0Fawzi H. Zarzoura1Department of Public Works Engineering, Faculty of Engineering, Mansoura University, Mansoura, Egypt; Civil Engineering Department, Delta Higher Institute for Engineering and Technology, Mansoura, Egypt Department of Public Works Engineering, Faculty of Engineering, Mansoura University, Mansoura, Egypt Gravity meters can be used to measure all effects that make up the Earth’s gravity field. Many of these effects are caused by known sources such as the Earth’s rotation, distance from the Earth’s center, topographic relief, and tidal variation. Physical fields are the main component of many centuries of the paradigm of all of Earth Sciences. The changing gravitational field is very important subject of research in the scientific aspect and practical. This paper applies two analytical models to simplify the gravitation calculation, which are sphere and cone models. Examples and finite element applications for the two models are studied also and discussed. The results of this study reveal that the possibility of using the proposed method with using presented analytical, finite element and numerical models to estimate the better determination of the characteristics of the local gravity of natural and man-made objects of sizes up to several tens of kilometers. https://limes.vgtu.lt/index.php/GAC/article/view/14854gravitational fieldfinite elementabnormal massesdirect and inverse problemsgravity
spellingShingle Ashraf A. A. Beshr
Fawzi H. Zarzoura
Approximation of gravitational calculation based on analytical models
Geodesy and Cartography
gravitational field
finite element
abnormal masses
direct and inverse problems
gravity
title Approximation of gravitational calculation based on analytical models
title_full Approximation of gravitational calculation based on analytical models
title_fullStr Approximation of gravitational calculation based on analytical models
title_full_unstemmed Approximation of gravitational calculation based on analytical models
title_short Approximation of gravitational calculation based on analytical models
title_sort approximation of gravitational calculation based on analytical models
topic gravitational field
finite element
abnormal masses
direct and inverse problems
gravity
url https://limes.vgtu.lt/index.php/GAC/article/view/14854
work_keys_str_mv AT ashrafaabeshr approximationofgravitationalcalculationbasedonanalyticalmodels
AT fawzihzarzoura approximationofgravitationalcalculationbasedonanalyticalmodels