| 超高阶扰动场元的计算方法 |
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| 引用本文： | 彭富清,夏哲仁.超高阶扰动场元的计算方法[J].地球物理学报,2004,47(6):1023-1028. |
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| 作者姓名： | 彭富清 夏哲仁 |
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| 作者单位： | 西安测绘研究所,西安,710054;西安测绘研究所,西安,710054 |
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| 基金项目： | 国家自然科学基金 ( 4 0 3 740 0 1) |
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| 摘 要： | 空间重力测量技术的飞速发展为超高阶全球重力场模型的建立提供了条件和更迫切的应用需求.本文从完全规格化缔合勒让德函数及其一、二阶导数的标准前向列递推公式出发，研究了超高阶扰动场元球谐展开式中完全规格化缔合勒让德函数及其一、二阶导数的数值特征，改进了上述标准前向列递推关系式，提出了在微机上计算超高阶扰动场元的实用方法，避免了数字溢出.
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| 关 键 词： | 超高阶扰动场元 完全规格化缔合勒让德函数 Horner方案 |
| 文章编号： | 0001-5733(2004)06-1023-06 |
| 收稿时间： | 2003-12-2 |
| 修稿时间： | 2004-6-21 |
ALGORITHMS FOR COMPUTING ULTRA-HIGH-DEGREE DISTURBING GEOPOTENTIAL ELEMENTS |
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| PENG Fu-Qing XIA Zhe-Ren Xi'an Institute of Surveying and Mapping,Xi'an ,China.ALGORITHMS FOR COMPUTING ULTRA-HIGH-DEGREE DISTURBING GEOPOTENTIAL ELEMENTS[J].Chinese Journal of Geophysics,2004,47(6):1023-1028. |
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| Authors: | PENG Fu-Qing XIA Zhe-Ren Xi'an Institute of Surveying and Mapping Xi'an China |
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| Institution: | Xi'an Institute of Surveying and Mapping, Xi'an 710054, China |
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| Abstract: | The fast development of the modern spatial gravimetric technology makes it possible and more necessary to establish ultra-high-degree global geopotential models. We study the numerical characters of the ultra-high-degree fully normalized associated Legendre functions (ALFs) and their 1 st and 2nd derivatives of the disturbing geopential spherical harmonic expansions from the standard forword column recursions. Then the above-mentioned standard forward column methods are modified. Finally, some applied algorithms for evaluating the ultra-high-degree disturbing potential elements by personal computer are presented, which avoids digital overflow. |
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| Keywords: | Ultra-high-degree disturbing geopotential element Fully normalised associated Legendre functions Horner's scheme |
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