本文基于星间加速度法(IRAM),利用预处理共轭梯度迭代法(PCCG)开展了地球重力场恢复的模拟研究.第一,通过9点Newton—Gregory插值法得到星间加速度,并联合星间距离、星间速度和星间加速度建立了卫星观测方程.第二,在120阶处,恢复GRAcE—IRAM累计大地水准面的精度为7.215cm.第三,分析了在地球重力场长波部分,GRACEIRAM模型的精度略低于EIGEN—GRACE02S,而在重力场中长波部分,其精度略优于EIGENGRACE02S的原因.第四,基于敏感于中高频重力场信号的优点,星间加速度法有望成为精确建立下一代高阶次地球重力场模型(如GRACE FollowOn)的有效方法.
The simulation researches of Earth's gravitational field recovery are carried out using the Intersatellite Range-Acceleration Method (IRAM) based on the Pre Conditioned Conjugate Gradient (PCCG) approach. Firstly, the intersatellite range-accelerations are calculated by the nine-point Newton-Gregory's interpolation formula, and satellite observation equation is established based on the combination of intersatellite range, range rate and range- acceleration. Secondly, at degree 120, GRACE-IRAM cumulative geoid height error is 7. 215 cm, Thirdly, the reasons why the accuracy of GRACE IRAM model is slightly lower than that of EIGEN GRACE02S in the long- wavelength Earth's gravitational field, and is appreciably superior to that of EIGEN-GRACE02S in the medium-long wavelength Earth's gravitational field are analyzed. Finally, the IRAM hopefully becomes one of effective approaches for accurately establishing the next-generation high-degree Earth's gravitational field model (e. g. GRACE Follow On) based on the advantages of high accurately determining the medium-high frequency signals of the Earth' s gravitational field.