测绘学报

• 学术论文 • 上一篇    

关于坐标旋转法进行地球静止轨道导航卫星广播星历拟合的探讨

阮仁桂   

  1. 西安测绘研究所
  • 收稿日期:2011-03-23 修回日期:1900-01-01 出版日期:2011-05-05 发布日期:2015-06-24
  • 通讯作者: 阮仁桂

Broadcast Ephemeris Parameters Fitting for GEO Satellites Based on Coordinate Transformation

  • Received:2011-03-23 Revised:1900-01-01 Online:2011-05-05 Published:2015-06-24

摘要: 介绍了基于坐标选转法的GEO广播星历拟合算法,推导了坐标系旋转前后卫星瞬时轨道根数及其摄动的解析关系式,分析了选择不同惯性系(不同的X轴指向和不同旋转角)对卫星轨道根数及其摄动的影响,通过仿真GEO轨道的广播星历拟合实验分析了不同坐标旋转角度对星历参数拟合结果的影响。分析和实验表明:1)采用简化法,经坐标变换后得到的轨道倾角不为常数,而是随着选择的参考历元不同呈周期性变化;2)选择不同的惯性参考系会导致轨道倾角摄动以不同的放大倍数放大后被新坐标系的轨道升交点赤经摄动和近地点幅角摄动吸收,这一放大倍数可能达到几十倍、上百倍甚至出现奇点。3)拟合得到的GEO卫星星历参数 和 的取值范围随坐标旋转角的增大而减小。

Abstract: An introduction on broadcast ephemeris parameters fitting for GEO satellites based on coordinate transformation is presented. The formulas of the relationship between the new instantaneous orbital elements as well as their perturbation and that before coordinate transformation are derived, and influence of difference inertial coordinate (different X-Axes orientation or different rotation angle) is analyzed. Experiments for broadcast ephemeris parameters fitting from simulated GEO orbit data are conducted to analyze the impact of different rotation angular adopted on the fitted ephemeris parameters. Our analysis and experiments show that: first, the inclination angle of the orbit obtained by simplified coordinate transformation is not constant but subject to periodic variation. Second, the perturbation of inclination angle in original frame may be magnified and then absorbed by the perturbation of inclination angle and perigee in the new coordinate system, while the magnification varies from tens to thousands and sometime singularity happens. Third, the range of some fitted GEO broadcast ephemeris parameters such as “Mean Motion Difference From Computed Value” and “Rate of Right Ascension” gradually decrease as the rotation angle increases