黄谟涛^1,,
刘敏²,
邓凯亮^1,3,,,
欧阳永忠^1,4,
陆秀平¹,
翟国君¹,
吴太旗¹,
陈欣¹
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

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


详细信息

作者简介: 黄谟涛, 男, 1961年生, 博士生导师, 研究方向为海洋重力场测定理论方法.E-mail:Ouyangyz@sohu.com

通讯作者: 邓凯亮, 男, 1983年生, 博士, 研究方向为海空重力测量理论及应用技术.E-mail:dengkailiang036@163.com

中图分类号: P229

收稿日期:2018-06-12
修回日期:2019-04-16
上线日期:2019-07-05

A nonsingular model for computing the external gravity field at a mobile point in a sea area

HUANG MoTao^1,,
LIU Min²,
DENG KaiLiang^1,3,,,
OUYANG YongZhong^1,4,
LU XiuPing¹,
ZHAI GuoJun¹,
WU TaiQi¹,
CHEN Xin¹
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


More Information

Corresponding author: DENG KaiLiang,E-mail:dengkailiang036@163.com

MSC: P229

--> Received Date: 12 June 2018
Revised Date: 16 April 2019
Available Online: 05 July 2019


摘要
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.
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

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.
Key words: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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