| 基于 EIGEN6C2模型的 Kaula 规则精化 |
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| 引用本文： | 梁建青,沈云中,张兴福.基于 EIGEN6C2模型的 Kaula 规则精化[J].测绘工程,2016,25(12):21-24. |
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| 作者姓名： | 梁建青 沈云中 张兴福 |
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| 作者单位： | 同济大学 测绘与地理信息学院,上海,200092;广东工业大学 测绘工程系,广东 广州,510006 |
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| 基金项目： | 国家自然科学基金资助项目(41474017；41274035) |
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| 摘 要： | 高精度重力场模型精化Kaula规则其要点是将Kaula规则乘上一个与位系数阶数项相关的二阶有理函数,并基于EIGEN6C2重力场模型解算有理函数模型的系数。精化后的Kaula规则与EIGEN6C2模型和EGM2008模型的逼近误差都只是原来Kaula规则的0.26%。因此,精化后的Kaula规则更能正确表示各阶引力位的实际能量,对于重力场模型的解算提供更加合理的约束。
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| 关 键 词： | 重力场模型 Kaula规则 EIGEN6C2模型 EGM2008模型 精化 |
A modified Kaula rule based on EIGEN6C2 gravity field model |
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| LIANG Jianqing,SHEN Yunzhong,Zhang Xingfu.A modified Kaula rule based on EIGEN6C2 gravity field model[J].Engineering of Surveying and Mapping,2016,25(12):21-24. |
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| Authors: | LIANG Jianqing SHEN Yunzhong Zhang Xingfu |
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| Abstract: | The paper will modify the Kaula rule based on the EIGEN6C2 gravity field model .The key point is to multiply a degree related second order rational function to the Kaula rule .The coefficient parameters of the rational function are estimated based on the EIGEN6C2 gravity field model .The approximation error of the modified Kaula rule with respect to EIGEN6C2 and EGM2008 gravity field models are only 0.26% of that of the original Kaula rule .Therefore the modified Kaula rule can more reasonably reflect the power spectrum of the earth’s gravity field ,which can be used as a constraint in computing the gravity field model . |
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| Keywords: | gravity field model Kaula rule EIGEN6C2 model EGM2008 model modifying |
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