| 有限圆柱体重力位三阶梯度张量正演计算公式 |
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| 引用本文： | 冷洁,邱峰.有限圆柱体重力位三阶梯度张量正演计算公式[J].大地测量与地球动力学,2022,42(1):96-99. |
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| 作者姓名： | 冷洁 邱峰 |
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| 作者单位： | 海军航空大学青岛校区;大连测控技术研究所 |
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| 摘 要： | 首先经过理论推导得到有限圆柱体重力位三阶梯度张量（又称重力曲率张量）正演计算公式，之后依据所推导的理论公式进行模型实验，通过以下2个方面来验证所推导公式的正确性：1） 将理论计算公式与重力位梯度张量的中心差分结果进行模型实验对比；2） 根据拉普拉斯方程检验部分分量之和是否为零。
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| 关 键 词： | 重力位三阶梯度张量 有限圆柱体 正演计算 |
Forward Modeling Formulae for Third-Order Gradient Tensor of Gravitational Potential Caused by Finite Cylinder |
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| LENG Jie,QIU Feng.Forward Modeling Formulae for Third-Order Gradient Tensor of Gravitational Potential Caused by Finite Cylinder[J].Journal of Geodesy and Geodynamics,2022,42(1):96-99. |
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| Authors: | LENG Jie QIU Feng |
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| Institution: | (Naval Aviation University Qingdao Campus,Qingdao 266041,China;Dalian Scientific Test and Control Technology Institute,16 Binhai Street,Dalian 116013,China) |
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| Abstract: | Firstly,we derive the forward modeling formulae for third-order gradient tensor of gravitational potential caused by the finite cylinder. Then, the model experiment is carried out based on the theoretical formula, and two different approaches are utilized to verify the obtained analytic expressions. The first compares the results calculated by our proposed formulae and the central difference of gradient tensor of the gravitational potential. The second determines whether the sum of the components is zero acording to the Laplace equation. |
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| Keywords: | third-order gradient tensor finite cylinder forward modeling |
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