| 引力场梯度张量的非奇异公式推导 |
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| 引用本文： | 万晓云.引力场梯度张量的非奇异公式推导[J].武汉大学学报(信息科学版),2011,36(12):1486-1489. |
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| 作者姓名： | 万晓云 |
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| 作者单位： | 中国科学院计算地球动力学重点实验室,北京市玉泉路甲19号100049／中国科学院研究生院,北京市玉泉路甲19号 100049 |
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| 基金项目： | 国家自然科学基金资助项目(41074015); 中国科学院资源环境科学与技术局专项资助项目(XMXX280730) |
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| 摘 要： | 传统的引力场梯度计算公式在两极附近存在奇异性,需要换用其他的非奇异计算公式。从奇异性产生的原因入手,并结合勒让德函数的有关性质,推导了一组新的计算公式。实际计算验证了该公式的正确性和有效性。
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| 关 键 词： | GOCE卫星 引力场梯度 非奇异 勒让德函数 |
New Derivation of Nonsingular Expression for Gravitational Gradients Calculation |
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| WAN Xiaoyun.New Derivation of Nonsingular Expression for Gravitational Gradients Calculation[J].Geomatics and Information Science of Wuhan University,2011,36(12):1486-1489. |
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| Authors: | WAN Xiaoyun |
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| Institution: | WAN Xiaoyun1,2(1 Key Laboratory of Computational Geodynamics,Chinese Academy of Sciences,A19 Yuquan Road,Beijing 100049,China)(2 Graduate University of Chinese Academy of Sciences,China) |
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| Abstract: | GOCE has released gravity gradients,but there aren’t data in polar regions because the inclination of the orbit is about 96.7°.We need to simulate data with known gravity field model in this area,whereas many formulas to compute the gravity gradients are singular at poles,which can cause a lot of difficulties in gravity field recovery using GOCE data.In order to overcome the so-called singularities,we firstly analyze the singular term,then derives a new nonsingular expression for gravitational gradients calculation based on properties of Legendre function.At last we compare several different formulas through calculation.The proposed formulas is more accurate than conventional methods. |
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| Keywords: | GOCE satellite gradient of the gravitational field nonsingular Legendre function |
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