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对地观测卫星过顶预报与定轨模型的建立
引用本文:王丹娜,吴鹏飞,杨浩.对地观测卫星过顶预报与定轨模型的建立[J].数学的实践与认识,2017(15):38-45.
作者姓名:王丹娜  吴鹏飞  杨浩
作者单位:1. 上海航天控制技术研究所,上海,201109;2. 上海航天控制技术研究所,上海 201109;上海惯性工程技术研究中心,上海 201109
摘    要:针对某些对地观测卫星,其轨道参数不公开,只能通过对卫星的运行规律建立数学模型,推导出卫星的过顶时间,从而使对地目标有效规避卫星的对地观测.首先从卫星运行的基本规律出发,根据稀疏数据进行定轨建立了卫星定轨的数学模型,利用牛顿迭代法递推出轨道根数,同时利用摄动补偿优化了模型,再通过八阶龙格库塔法,进行轨道递推,得到了卫星过顶时间与轨道信息的对应关系.

关 键 词:稀疏数据定轨  对地观测卫星  过顶时间  八阶龙格库塔法

Establishment of over Peak Prediction and Orbit Determination Model for Goound Observation Satellites
WANG Dan-na,WU Peng-fei,YANG Hao.Establishment of over Peak Prediction and Orbit Determination Model for Goound Observation Satellites[J].Mathematics in Practice and Theory,2017(15):38-45.
Authors:WANG Dan-na  WU Peng-fei  YANG Hao
Abstract:As for some earth observation satellites,because of the private orbit parameters,the operation of the satellites cannot be obtained directly.So an appropriate mathematical model should be established to help the ground target to avoid the satellites' observe.This paper firstly in accordance with the basic law of the satellites operation,then establish the mathematical model for satellite orbit determination by sparse data.Using newton iteration method to get the orbital element,using perturbation compensation to optimize this model.Next using Eight Order Runge-Kutta to derive the change of the orbits.Finally the corresponding relationship between the satellite's zenith time and orbital information is obtained.
Keywords:sparse data method  earth observation satellite  zenith time  eight order runge-kutta
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