Closed-form Expressions of the Vector Gravity and Gravity Gradient Tensor Due to a Circular Disk

被引：3
作者：
Rim, Hyoungrea [1 ]
机构：
[1] Pusan Natl Univ, Dept Earth Sci Educ, 2 Busandaehak Ro,63 Beon Gil, Busan 46241, South Korea
来源：
GEOPHYSICS AND GEOPHYSICAL EXPLORATION | 2021年 / 24卷 / 01期
关键词：
gravity potential; vector gravity; gravity gradient tensor; circular disk; GRAVITATIONAL ATTRACTION;
D O I：
10.7582/GGE.2021.24.1.001
中图分类号：
P3 [地球物理学]; P59 [地球化学];
学科分类号：
0708 ; 070902 ;
摘要：
The closed-form expressions of the vector gravity and gravity gradient tensor due to a circular disk are derived. The gravity potential due to a circular disk with a constant density is defined for a cylindrical system. Then, the vector gravity is derived by differentiating the gravity potential with respect to cylindrical coordinates. The radial component of the vector gravity in the cylindrical system is converted into horizontal gravity components in the Cartesian system. Finally, the gravity gradient tensor due to a circular disk is obtained by differentiating the vector gravity with respect to the Cartesian coordinates.
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页码：1 / 5
页数：5
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