| 海域流动点外部扰动引力无奇异计算模型 |
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| 引用本文： | 黄谟涛,刘敏,邓凯亮,欧阳永忠,陆秀平,翟国君,吴太旗,陈欣.海域流动点外部扰动引力无奇异计算模型[J].地球物理学报,2019,62(7):2394-2404. |
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| 作者姓名： | 黄谟涛 刘敏 邓凯亮 欧阳永忠 陆秀平 翟国君 吴太旗 陈欣 |
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| 作者单位： | 1. 海军海洋测绘研究所, 天津 300061;2. 信息工程大学, 郑州 450001;3. 国防科学技术大学, 长沙 410073;4. 南京信息工程大学, 南京 210044 |
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| 基金项目： | 国家自然科学基金项目（41804011；41706111；41774021），国家重点研发计划（2016YFC0303007；2016YFB0501704），国家重大科学仪器设备开发专项资助项目（2011YQ12004503），国家973计划资助项目（613219）共同资助. |
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| 摘 要： | 针对海域重力场变化特征和远程飞行器机动发射保障应用需求，本文分析研究了地球外部空间扰动引力三类传统计算模型的技术特点及其适用性，指出了采用表层法作为海域流动点扰动引力计算模型的合理性及需要解决的关键问题，分析论证了空中扰动引力计算对地面观测数据的分辨率和精度要求，提出通过引入局部积分域恒等式变换、局域泰勒级数展开和非网格点内插方法，消除表层法计算模型积分奇异性固有缺陷的研究思路，进而推出了适合于海域流动点应用的扰动引力无奇异计算模型，较好地满足了全海域和全高度段对局部扰动重力场快速赋值的实际需求.以超高阶全球位模型EGM2008作为标准场，通过数值计算验证了无奇异计算模型的可行性和有效性，在重力场变化比较剧烈的海沟区，该模型的计算精度优于2×10-5m·s-2.
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| 关 键 词： | 外部扰动引力 表层法 奇异性 局部积分域恒等式变换 局域泰勒级数展开 非网格点内插方法 |
| 收稿时间： | 2018-06-12 |
A nonsingular model for computing the external gravity field at a mobile point in a sea area |
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| HUANG MoTao,LIU Min,DENG KaiLiang,OUYANG YongZhong,LU XiuPing,ZHAI GuoJun,WU TaiQi,CHEN Xin.A nonsingular model for computing the external gravity field at a mobile point in a sea area[J].Chinese Journal of Geophysics,2019,62(7):2394-2404. |
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| Authors: | HUANG MoTao LIU Min DENG KaiLiang OUYANG YongZhong LU XiuPing ZHAI GuoJun WU TaiQi CHEN Xin |
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| Institution: | 1. Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China;2. Information Engineering University, Zhengzhou 450001, China;3. National University of Defense Technology, Changsha 410073, China;4. Nanjing University of Information Science & Technology, Nanjing 210044, China |
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| Abstract: | In accordance with the variation characteristics of the marine gravity field and the special support requirement of launching a long range spacecraft at a mobile point, this paper presents a detail analysis on the applicability and distinguishing features of the three traditional models for computing disturbing gravity. Then the reasonability of using the surface layer method to compute the disturbing gravity in sea areas and the key problems to be resolved are pointed out. The surveying resolution and accuracy requirement of gravity anomalies on the earth' surface for calculating the external disturbing gravity field is discussed. A new study approach is suggested to modify the original surface layer model, in which a transformation of identical equation with a local integration field, Taylor series expansion in the local area and an interpolation method for non-grid point are introduced to eliminate the singularity drawback inherent in the surface layer model. And a nonsingular modified model of computing the external gravity field at a mobile point in a sea area is proposed for application,which can satisfy the practical needs of determining the local gravity field quickly in all sea areas and full height. A numerical test using a synthetic gravity data set from the ultra-high-degree geopotential model EGM2008 proves the feasibility and validity of the suggested model. The approximation accuracy of the modified model is superior to 2×10-5m·s-2 in rugged oceanic trench areas with intense variations of the gravity field. |
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| Keywords: | External disturbing gravity Surface layer method Singularity Transformation of identical equation with a local integration field Taylor series expansion in local area Interpolation method for non-grid point |
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