利用GOCE卫星轨道反演地球重力场模型

Recovering Earth's Gravitational Field Model Using GOCE Satellite Orbits

  • 摘要: 根据积分方程法反演地球重力场的数学模型,利用GOCE卫星2009-11-02~2010-01-02共61d的精密轨道数据反演了几组地球重力场模型。结果表明,GOCE卫星轨道能有效提取地球重力场的长波信息,弥补了GOCE卫星重力梯度带宽的限制,在106阶次的大地水准面误差为±9.6cm,该阶次精度优于EIGEN-CHAMP03S及GRACE卫星两个月轨道反演地球重力场的精度,但由于两极空白,反演的带谐位系数精度偏低。联合GOCE及GRACE卫星轨道反演的模型在106阶次的大地水准面误差为±6.9cm,弥补了GOCE卫星轨道的缺陷。

     

    Abstract: Mathematical models of integral equation approach to recover the Earth's gravitational field have been presented.Several gravitational field models have been recovered based on GOCE orbits of 61 days from 2009-11-02 to 2010-01-02.The results show that the long wavelength information of gravitational field can be effectively extracted from GOCE orbits,which complements the band-limitation of GOCE gradiometers.The geoid height error is ±9.6 cm with degree and order 106.The precision is higher than that from EIGEN-CHAMP03S and GRACE model from 2 months orbits.But the precision of zonal coefficients is low due to the polar gap.The geoid error of the model which combines the orbits of GOCE and GRACE satellites is ±6.9 cm with degree and order 106,which complements the orbital deficiency of GOCE satellite.

     

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