Construction and analysis of the static gravity field model based on ChiGaM satellite

doi:10.11947/j.AGCS.2025.20250189

Abstract

Abstract:

The successful implementation and continuous operation of China's ChiGaM (Chinese gravimetry augment and mass change exploring mission) have made it possible to independently and autonomously recover medium-to-long wavelength signals of the Earth's gravity field with high accuracy. This paper investigates a method for recovering a high-precision static gravity field model based on ChiGaM satellite data. Compared with traditional dynamic approach, the proposed method includes following improvements: ① Estimation of piecewise constant acceleration parameters and selection of appropriate priori variance of these parameters for ChiGaM satellite. ② Application of the pure predetermine strategy (PPS) to estimate K-band ranging (KBR) empirical parameters up to the 3-cycle per revolution (3-CPR) terms. ③ Incorporation of robust estimation and empirical data elimination techniques to enhance the inversion accuracy. Using data collected from March 2022 to May 2024, a 150-degree static gravity field model was developed. To improve the reliability of accuracy evaluation, residual terrain model (RTM) technology and ultra-high-degree gravity field models were employed to separate signals, in different frequency bands, from terrestrial and marine gravity data. The accuracy of the constructed static gravity field model was assessed through comparisons with the frequency-separated terrestrial and marine gravity data, as well as through cross-comparison with the GRACE (gravity recovery and climate experiment) static gravity field models. The results demonstrate that the proposed method enables the construction of a high-precision static gravity field model using ChiGaM satellite data, further validating the satellite's capability to capture medium-to-long wavelength signals of the Earth's gravity field.

Key words: satellite gravimetry, static gravity field model, ChiGaM satellite, dynamic approach, RTM technique

CLC Number:

P223

Xuli TAN, Shanshan LI, Zhiyong HUANG, Zongpeng PAN, Diao FAN, Hongfa WAN, Xianyong PEI, Zhenbang XU. Construction and analysis of the static gravity field model based on ChiGaM satellite[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(10): 1798-1811.

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方案	σ₁值	σ₂值	σ₁₂值
方案1	3×10^-8	3×10^-8	不考虑
方案2	3×10^-8	3×10^-8	3×10^-10
方案3	3×10^-9	3×10^-9	不考虑
方案4	3×10^-9	3×10^-9	3×10^-10
方案5	3×10^-9	3×10^-9	3×10^-11
方案6	3×10^-10	3×10^-10	不考虑
方案7	3×10^-10	3×10^-10	3×10^-11
方案8	3×10^-11	3×10^-11	不考虑
方案9	3×10^-11	3×10^-11	3×10^-11

背景场	模型	描述
地球重力场	EIGEN-6C4^[11]	截断至360阶
海洋潮汐	FES2014b^[31]	截断至180阶，包含34个主潮汐和327个次潮汐分量，基于导纳理论内插次潮汐分量
固体潮汐	IERS convention 2010^[32]	考虑至4阶项，同时顾及频率相关项和频率无关项，潮汐系统采用tide free
三体引力摄动	质量点模型	采用DE430星历^[33]，考虑太阳系主要星体，考虑J2项影响
固体极潮	IERS convention 2010	仅考虑C21和S21项，平均极移采用线性模型
海洋极潮	Desai模型^[34]	截断至180阶，平均极移采用线性模型
大气潮汐	AOD1B RL06^[35]	截断至180阶，包含12个主潮汐分量
海洋大气非潮汐变化	AOD1B RL06	截断至180阶，节点之间采用线性内插

参数名称	属性	设定
球谐系数	全局参数	2~150阶，共22 797个参数
卫星初始运动状态改正参数	局部参数	每颗卫星每弧段（3 h）估计1组，每组6个参数
加速度计标校参数	局部参数	偏移参数每颗卫星每弧段（3 h）估计1组，每组3个参数；尺度因子参数每颗卫星每天估计1组，包含对角线和非对角线元素，每组9个参数
分段常加速度	局部参数	每颗卫星每15 min估计1组，每组3个参数，添加约束
KBR经验参数	局部参数	线性项每0.75 h估计1组，每组2个参数；周期项每1.5 h估计1组，周期为1.5 h，每组12个参数。单独估计

名称	采样率/Hz	描述
ROE1B	1	卫星简化动力学定轨数据，包含卫星的位置和速度及其方差
KBR1B	5	星间微波测距数据，包含星间距离（有偏）、星间距离变率和星间距离加速度
ACC1B	1	卫星加速度计数据，包含卫星非保守力加速度在卫星科学坐标系三轴方向上的分量
SCA1B	1	卫星姿态数据，包含从惯性系到卫星科学坐标系的转换四参数

模型	阶次	使用数据	反演方法	发布机构
IEU-CGS-Static2024	150阶（静态）	ChiGaM卫星2022-03—2024-05	动力学法	信息工程大学
GGM02S	160阶（静态）	GRACE卫星2002-04—2003-12	动力学法	CSR
GGM05S	180阶（静态）	GRACE卫星2003-03—2013-05	动力学法	CSR
HUST-Grace2016s	160阶（静态）	GRACE卫星2003-01—2015-04	改进动力学法	华中科技大学
ITG-Grace02s	160阶（静态）	GRACE卫星2002-02—2005-12	短弧法	波恩大学
ITSG-Grace2018s	200阶（静态）+120阶（时变）	GRACE卫星2002-04—2016-08	动力学法	格拉茨技术大学
ITU_GRACE16	180阶（静态）	GRACE卫星2009-04—2013-10	能量法	俄亥俄州立大学（主导）联合多机构
Tongji-Grace02s	180阶（静态）+50阶（时变）	GRACE卫星2003-01—2016-07	改进短弧法	同济大学