大地测量与地球动力学
大地測量與地毬動力學
대지측량여지구동역학
JOURNAL OF GEODESY AND GEODYNAMICS
2010年
2期
137-140
,共4页
海面高%平均重力异常%误差分析%截断误差%球谐分析法
海麵高%平均重力異常%誤差分析%截斷誤差%毬諧分析法
해면고%평균중력이상%오차분석%절단오차%구해분석법
sea surface height%mean gravity anomaly%error analysis%truncated error%spherical harmonic method
利用球谐分析法建立海面高数据与平均重力异常的误差传播公式,计算不同精度、不同分辨率的海面高数据对应相同分辨率平均重力异常所能达到的精度.实际算例表明,对于5′分辨率的观测数据,球谐分析法与传统的逆Stokes方法较为一致,随着海面高数据分辨率的降低,球谐分析法会造成较大的截断误差,使平均重力异常的精度低于实际精度.
利用毬諧分析法建立海麵高數據與平均重力異常的誤差傳播公式,計算不同精度、不同分辨率的海麵高數據對應相同分辨率平均重力異常所能達到的精度.實際算例錶明,對于5′分辨率的觀測數據,毬諧分析法與傳統的逆Stokes方法較為一緻,隨著海麵高數據分辨率的降低,毬諧分析法會造成較大的截斷誤差,使平均重力異常的精度低于實際精度.
이용구해분석법건립해면고수거여평균중력이상적오차전파공식,계산불동정도、불동분변솔적해면고수거대응상동분변솔평균중력이상소능체도적정도.실제산례표명,대우5′분변솔적관측수거,구해분석법여전통적역Stokes방법교위일치,수착해면고수거분변솔적강저,구해분석법회조성교대적절단오차,사평균중력이상적정도저우실제정도.
The error propagation formulae between sea surface height and mean gravity anomaly are established by using spherical harmonic method. With these formulae, the accuracies of different resolution of mean gravity anomaly are computed. The computation results show that the spherical harmonic method has the same effects as the traditional inverse Stokes method and could be a reference mean for satellite altimetry accuracy design. The point that should be concerned is that the truncated error will increase quickly with the resolution falling, especially for the resolution smaller than 5′,so the accuracies of mean gravity anomaly could be estimated worse than the actual results.
