摘要
针对精度分析对高阶引力场及其计算效率的需求,推导了以球谐函数级数表示的超高阶引力场模型,并以2159阶位系数计算结果为标准,深入研究了引力异常值随高度、截断阶数的变化关系。此后,基于全球引力异常分布研究,创新建立了引力异常随高度变化的3σ概率模型,并对比分析了不同引力异常模型对导航精度的影响。仿真结果表明,针对一条有80000余个数据点的轨迹,与传统定值引力异常模型相比,提出的引力异常模型精度分析结果提升50%以上;与实时解算真实引力异常相比,计算耗时由10 h级缩减至10 s级,效率提升3000多倍,大幅提升了方案设计阶段导航精度分析的准确性及效率。
Precision analysis has very high demand for high order gravitational field and its calculation efficiency.An ultra-high-order gravitational field model is developed based on the spherical harmonic function series.Then,using the results of proposed model truncated to 2159-degree as the standard,the variation relationship of gravity anomaly values with height and truncation order are studied in depth.Further,based on the research results of the global gravity anomaly distribution,the innovative 3σprobability model for the gravity anomaly varying with height is established.Simulation results show that for a trajectory with 80000 data points,the results of the accuracy analysis increased by more than 50%compared with the traditional method.In addition,compared with by solving the gravity anomaly in real time,the calculation is reduced from 10 hours to less than 10 seconds,efficiency increased by more than 3000 times which significantly improves the efficiency of the navigation accuracy analysis.
作者
赵鹏雷
陈之润
杨锐
郑新
郜义蒙
ZHAO Penglei;CHEN Zhirun;YANG Rui;ZHENG Xin;GAO Yimeng(Beijing Institute of Astronautical Systems Engineering,Beijing 100076,China;Beihang University,Beijing 100191,China)
出处
《宇航总体技术》
2025年第6期1-9,共9页
Astronautical Systems Engineering Technology
基金
中国运载火箭技术研究院攀登工程基金项目。
关键词
高阶引力场
概率模型
引力异常
导航精度
High-order gravitational field
Probability model
Gravity anomaly
Navigation accuracy
