宁津生, 钟波, 罗志才, 罗佳. 基于能量守恒的星间距离变率与地球重力场频谱关系的建立与分析[J]. 武汉大学学报 ( 信息科学版), 2008, 33(3): 221-225.
引用本文: 宁津生, 钟波, 罗志才, 罗佳. 基于能量守恒的星间距离变率与地球重力场频谱关系的建立与分析[J]. 武汉大学学报 ( 信息科学版), 2008, 33(3): 221-225.
NING Jinsheng, ZHONG Bo, LUO Zhicai, LUO Jia. Establishment and Analysis of the Spectral Relationship Between Range-Rate and Gravity Potential Based on Energy Conservation[J]. Geomatics and Information Science of Wuhan University, 2008, 33(3): 221-225.
Citation: NING Jinsheng, ZHONG Bo, LUO Zhicai, LUO Jia. Establishment and Analysis of the Spectral Relationship Between Range-Rate and Gravity Potential Based on Energy Conservation[J]. Geomatics and Information Science of Wuhan University, 2008, 33(3): 221-225.

基于能量守恒的星间距离变率与地球重力场频谱关系的建立与分析

Establishment and Analysis of the Spectral Relationship Between Range-Rate and Gravity Potential Based on Energy Conservation

  • 摘要: 基于能量守恒原理,建立了SST-ll星间距离变率观测噪声谱与重力场误差谱的关系,以GRACE相关指标模拟分析了卫星间距、卫星高度和距离变率精度对恢复地球重力场的影响。结果表明,增大卫星间距可提高恢复低阶次位系数的精度,卫星间距超过500 km对提高恢复重力场精度的作用已不明显;降低轨道高度可提高恢复高阶次位系数的精度,卫星高度每降低100 km,恢复位系数的有效阶次提高20阶以上;提高星间距离变率精度可大幅度提高恢复重力场的精度,距离变率精度每提高一个量级,恢复位系数的有效阶次提高约28阶。将模拟结果与GGM02S和EIGEN-GRACE02S模型进行比较,初步验证了本文方法的可行性。

     

    Abstract: The spectral relationship between range-rate error and gravity potential error for SST-ll is established based on energy conservation theory,the performances of satellite separation,altitude of orbit,and precision of range-rate in recovering the earth's gravity field are analyzed.The simulation results indicate that increasing the separation of satellite pair can improve the accuracy of low degrees of geopotential.When the separation is more than 500 km,it is no longer helpful for improving the accuracy of geopotential.The lower altitude of the orbit is good for obtaining higher accuracy of the high degrees of geopotential.When the obrbit reduces 100 km,the maximum degree increases more than 20 degrees.Higher precision of range-rate is very important for recovering the earth's gravity field,when the precision is improved an order of magnitude,the maximum degree increases about 28 degrees.Comparing to the models of GGM02S and EIGEN-GRACE02S,it basically reflects the performance of GRACE and proves the feasibility of this method.

     

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