弹道学报2016，Vol.28Issue(2)：18-24,7.
考虑 J2摄动的弹道导弹高精度弹道预报和误差传播分析
Analysis on High Precision Trajectory Prediction and Error Propagation of Ballistic Missile Considering J2 Perturbation
孙瑜 1吴楠 2孟凡坤 3邓启正3
作者信息
- 1. 中国人民解放军96669部队，北京102208
- 2. 信息工程大学导航与空天目标工程学院，郑州450001
- 3. 信息工程大学导航与空天目标工程学院，郑州450001
- 折叠
摘要
Abstract
To carry out high-precision trajectory prediction and error propagation analysis of ballistic missile,the solution form of mean element algorithms for perturbation equation was analyzed , and an analytical algorithm considering J2 perturbation and containing the short period term was proposed for trajectory prediction .By constructing the error propagation analysis method of trajectory prediction based on unscented transform , the problem that the Kepler elements is not differentiable and the partial derivative matrix is difficult to calculate was solved .The simulation results show that the error caused by the J2 perturbation short period term , which can not be ignored , reaches 3 orders of magnitude when analytical algorithm is applied in the trajectory prediction .The relative error predicted by the proposed al-gorithm is only less than 5%,and the precision is far higher than the precision of traditional analytical al-gorithm,which is comparable with the precision of high-precision numerical algorithm ,but the operation speed is 7 times of the latter ,and the algorithm has a better effectiveness-cost ratio .关键词
弹道预报/无迹变换/J2 摄动/解析法/短周期项Key words
trajectory prediction/unscented transformation/J2 perturbation/analytical algorithm/short-period term分类
军事科技引用本文复制引用
孙瑜,吴楠,孟凡坤,邓启正..考虑 J2摄动的弹道导弹高精度弹道预报和误差传播分析[J].弹道学报,2016,28(2):18-24,7.
