测绘学报

• 学术论文 •    

利用谱分析法估计GRACE Follow-On地球重力场的空间分辨率

庞振兴,姬剑锋,肖云,李迎春   

  1. 西安测绘研究所
  • 收稿日期:2011-08-17 修回日期:2012-02-06 出版日期:2012-06-25 发布日期:2012-06-25
  • 通讯作者: 庞振兴

Estimation of the resolution of Earth’s gravity field for GRACE Follow-On using the spectrum method

  • Received:2011-08-17 Revised:2012-02-06 Online:2012-06-25 Published:2012-06-25

摘要: 本文利用轨道扰动引力谱分析的方法有效估计了未来GRACE(Gravity Recovery And Climate Experiment)Follow-On卫星反演地球重力场的空间分辨率。基于GRACE Follow-On卫星的轨道特性,从垂直和水平两个方面计算了其在高空所受到的扰动引力谱,并根据谱特性及星载加速度计的测量噪声水平分析了该卫星能反演重力场的阶数。利用EGM96重力场模型分别计算了200km和250km轨道高度处GRACE Follow-On卫星受到的扰动引力谱,分析其垂直特性表明:在两个轨道高度处能分别能反演241阶的地球重力场模型。利用两颗同轨重力卫星相距50km的特性,计算了200km和250km轨道高度处纬度相差0.5o的两颗卫星纬向扰动引力差,即扰动引力水平分量,分析其谱特性,表明:在两个轨道高度处能分别能反演至339阶和283阶的地球重力场模型。

Abstract: In this paper, the spatial resolution of the earth’s gravity field for the future Grace Follow-On is discussed by analyzing the spatial disturbance gravity spectrum and the accumulative geoid error spectrum. The radial disturbance gravity with the height 200 and 250 kilometers was computed, using the EGM96 gravitational field model. Analyzing the radial gravity disturbance spectrum characteristics, a new earth’s gravity field model of 281 and 242 degree can be recovered at the two orbit heights. The accumulative geoid error spectrum model is given, and the accumulative geoid error spectrum at the height of 200 and 250 kilometers is computed. Analyzing the accumulative geoid error, we can conclude that the earth’s gravity field can be recovered to a degree of 286 and 228.