The effects of the earth's curvature on gravity and geoid calculations

?av?ak H.

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The effects of the earth's curvature on gravity and geoid calculations

机译：地球曲率对重力和大地水准面计算的影响

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While it is obvious that large-scale gravity studies should account for the sphericity of the Earth, each case should be examined. If a geometry model is very large for the 3D-gravity calculation, it cannot be correctly defined in Cartesian coordinates. Because of the Earth's curvature it is necessary to use spherical coordinates, the importance of which is shown in this paper. The calculation of the gravity for a cylinder reveals, 1 m above the center of the cylinder, a relative difference of 13% between the models with Cartesian and spherical coordinates.

机译：显然，大规模重力研究应考虑地球的球形度，但应检查每种情况。如果用于3D重力计算的几何模型很大，则无法在笛卡尔坐标中正确定义它。由于地球的曲率，有必要使用球坐标，其重要性已在本文中显示。圆柱重力的计算显示，在圆柱中心上方1 m处，具有直角坐标和球形坐标的模型之间的相对差为13％。

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来源
《Pure and Applied Geophysics》 |2012年第4期|共8页
作者
?av?ak H.;
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正文语种 eng
中图分类地球物理学;
关键词
3D spherical gravity modelling;

机译：3D球形重力建模;

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1. The Effects of the Earth’s Curvature on Gravity and Geoid Calculations [J] . Hasan Çavşak Pure and Applied Geophysics . 2012,第4期

机译：地球曲率对重力和大地水准面计算的影响
2. GGMCalc a software for calculation of the geoid undulation and the height anomaly using the iteration method, and classical gravity anomaly [J] . Siamak Moazezi, Hossein Zomorrodian Earth Science Informatics . 2012,第2期

机译：GGMCalc软件，使用迭代方法和经典重力异常来计算大地水准面波动和高度异常
3. On calculation of the vertical deflection and the geoid undulation from gravity anomalies [J] . Boyarsky E.A., Afanasyeva L.V., Koneshov V.N., Izvestiya. Physics of the solid earth . 2010,第6期

机译：从重力异常计算垂直挠度和大地水准面波动
4. Calculation of Geoid Undulations and Gravity Anomalies in the South China Sea by Using the TOPEX/Poseidon and Geosat Altimeter Data [C] . Zhang Youguang, Zhang Jie, Ji Yonggang, SPIE Conference on Ocean Remote Sensing and Applications . 2003

机译：用Topex / Poseidon和Geosat高度计数据计算南海的大木偶顶伏和重力异常
5. Computational methods for the discrete downward continuation of the Earth gravity and effects of lateral topographical mass density variation on gravity and the geoid. [D] . Huang, Jianliang. 2002

机译：地球重力离散向下延续的计算方法以及横向地形质量密度变化对重力和大地水准面的影响。
6. The Effects of Light and Gravity on the Horizontal Curvature of Roots of Gravitropic and Agravitropic Arabidopsis thaliana L [O] . Javed I. Mirza 1987

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7. Effects of Isostasy On Large-Scale Geoid Signal-Ii. Geoid Anomaly Over the Earth [O] . A. Hofstetter, C. R. B. Lister 1989

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The effects of the earth's curvature on gravity and geoid calculations

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