摘要
通过引入拉格朗日方程,重构了定点坐标系下的对地静止(GEO)卫星摄动运动方程。继而把地球引力位在GEO卫星的定点邻域内泰勒展开,并采用拉普拉斯变换,得到了一类改进的中间轨道。5天的外推结果表明,改进的中间轨道精度相对于同类型的中间轨道精度提高了4个量级,且形式简单,可以很好地用于GEO卫星的定轨协方差分析中。同时,也可为GEO卫星轨道设计、地面观测站配置等工作提供参考。
By introducing the Lagrange equations, this paper has completely reconstructed the geostationary orbit（GEO） satellite perturbed equations in a co-rotating equatorial reference frame which is central at the ideal geostationary point. Then the gravitational potential of the earth is expanded with Taylor series in the vicinity of geostationary point. Finally, a kind of middle GEO satellite orbit is developed by Laplace transformation. Results based on 5 days of extrapolation, using the obtaining orbit and the existed same kind orbit, are presented to demonstrate the improvement of extrapolation with 4 factor. Due to its simple structure,the obtaining orbit can be used to help analyze orbit determination error,design geostationary satellite orbit,configure the observing state,and so on.
出处
《海洋测绘》
2010年第1期7-10,共4页
Hydrographic Surveying and Charting
基金
国家自然科学基金(40774031)
全国优秀博士论文专项基金(200344)
信息工程大学博士生创新基金(200707)
关键词
对地静止卫星
中间轨道
协方差分析
拉普拉斯变化
GEO satellite
middle orbit
consider covariance analysis
laplace transformation
