多个超高阶重力场模型精度分析

分析了国际和国内公布的EGM2008、GECO、Eigen6c4、UGM2005、DQM2000d和DQM2006等超高阶重力场模型的内符合精度;利用中国境内的实测GPS/水准数据对各类模型进行了外符合精度检验;结合不同的方法对系统差进行了处理;最后基于试验区数据讨论了不同模型之间频谱组合方法对高程异常计算结果的改善情况。实验表明,Eigen-6C4模型具有更高的内符合精度,国内公布的UGM2005和DQM2006两种模型精度相当;本文提出的十参数法相比于传统四参数方法精度获得了4.6%~22.20%的提升;GECO模型和Eigen-6C4模型在实验区内外符合精度较好;不同模型之间的频谱组合可以在一定程度上提高试验区内模型确定高程异常的精度。     

扰动重力梯度的球冠谐分析建模

从球冠谐理论出发,详细推导了球冠坐标系下扰动重力梯度的无奇异性计算公式。基于Tikhonov正则化方法,利用GOCE卫星实际观测数据解算局部重力场球冠谐模型。数值计算表明,基于扰动重力梯度的球冠谐分析建模方法能够有效地恢复局部重力场中的短波信号,与GO_CONS_GCF_2_DIR_R5模型的差异在±0.3×10~(-5) m/s~2水平。     

利用参考重力场模型基于能量法确定GRACE加速度计校准参数

利用多个参考重力场模型分别对GRACE一个月的实测加速度计观测数据进行检校。数值计算结果的比较分析表明了利用参考重力场模型确定加速度计校准参数是有效的。     

随机Dirichlet问题解的调和展开

针对重力学随机Dirichlet问题,通过适当地对边界检验函数的分解,并在随机边界样本空间中提取确定性部分的对偶基,本文将随机Dirichlet问题的一般解展开为一随机系数的调和级数形式。     

点质模型求定月球重力场及其特征分析

利用Lunar-Prospector扩展任务的视线加速度数据,根据点质模型恢复了月球近区的重力场,将其与LP165月球重力场模型进行了比较和分析,并利用恢复的重力场联合月球地形数据对Mas-con进行分析,总结了月球重力场的主要特征及其研究方向发展趋势,将重力场恢复技术与我国的探月计划-"嫦娥"工程结合起来,为建立高精度的月球重力场和地形模型提供了一种有效而实用的方法。     

The GeoForschungsZentrum Potsdam/Groupe de Recherche de Gèodésie Spatiale satellite-only and combined gravity field models: EIGEN-GL04S1 and EIGEN-GL04C

The recent improvements in the Gravity Recovery And Climate Experiment (GRACE) tracking data processing at GeoForschungsZentrum Potsdam (GFZ) and Groupe de Recherche de Géodésie Spatiale (GRGS) Toulouse, the availability of newer surface gravity data sets in the Arctic, Antarctica and North-America, and the availability of a new mean sea surface height model from altimetry processing at GFZ gave rise to the generation of two new global gravity field models. The first, EIGEN-GL04S1, a satellite-only model complete to degree and order 150 in terms of spherical harmonics, was derived by combination of the latest GFZ Potsdam GRACE-only (EIGEN-GRACE04S) and GRGS Toulouse GRACE/LAGEOS (EIGEN-GL04S) mean field solutions. The second, EIGEN-GL04S1 was combined with surface gravity data from altimetry over the oceans and gravimetry over the continents to derive a new high-resolution global gravity field model called EIGEN-GL04C. This model is complete to degree and order 360 and thus resolves geoid and gravity anomalies at half- wavelengths of 55 km at the equator. A degree-dependent combination method has been applied in order to preserve the high accuracy from the GRACE satellite data in the lower frequency band of the geopotential and to form a smooth transition to the high-frequency information coming from the surface data. Compared to pre-CHAMP global high-resolution models, the accuracy was improved at a spatial resolution of 200 km (half-wavelength) by one order of magnitude to 3 cm in terms of geoid heights. The accuracy of this model (i.e. the commission error) at its full spatial resolution is estimated to be 15 cm. The model shows a reduced artificial meridional striping and an increased correlation of EIGEN-GL04C-derived geostrophic meridional currents with World Ocean Atlas 2001 (WOA01) data. These improvements have led to select EIGEN-GL04C for JASON-1 satellite altimeter data reprocessing. Electronic Supplementary Material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Methodology and use of tensor invariants for satellite gravity gradiometry

Although its use is widespread in several other scientific disciplines, the theory of tensor invariants is only marginally adopted in gravity field modeling. We aim to close this gap by developing and applying the invariants approach for geopotential recovery. Gravitational tensor invariants are deduced from products of second-order derivatives of the gravitational potential. The benefit of the method presented arises from its independence of the gradiometer instrument’s orientation in space. Thus, we refrain from the classical methods for satellite gravity gradiometry analysis, i.e., in terms of individual gravity gradients, in favor of the alternative invariants approach. The invariants approach requires a tailored processing strategy. Firstly, the non-linear functionals with regard to the potential series expansion in spherical harmonics necessitates the linearization and iterative solution of the resulting least-squares problem. From the computational point of view, efficient linearization by means of perturbation theory has been adopted. It only requires the computation of reference gravity gradients. Secondly, the deduced pseudo-observations are composed of all the gravitational tensor elements, all of which require a comparable level of accuracy. Additionally, implementation of the invariants method for large data sets is a challenging task. We show the fundamentals of tensor invariants theory adapted to satellite gradiometry. With regard to the GOCE (Gravity field and steady-state Ocean Circulation Explorer) satellite gradiometry mission, we demonstrate that the iterative parameter estimation process converges within only two iterations. Additionally, for the GOCE configuration, we show the invariants approach to be insensitive to the synthesis of unobserved gravity gradients.     

重力辅助惯性导航中重力归算的垂直梯度计算

重力辅助惯性导航技术是利用地球物理特征信息数据—重力来完成水下运动载体的辅助导航与定位。为了实现水下运动载体上重力传感器输出的实测重力信息与重力数据库中存储的重力信息之间的匹配,首先必须将这两类数据归算到一个平面。本文研究分析了重力归算中重力垂直梯度求解的各种方法;探讨了不同数值积分区域对扰动重力垂直梯度精度的影响;并通过计算分析,提出了可以直接以重力异常垂直梯度代替扰动重力垂直梯度来求取重力垂直梯度。     

航空重力测量数学模型及其测量精度分析

基于数学和分析力学角度分别推导了航空矢量重力测量的数学模型,得到了一致的模型公式;给出了矢量模型的3个分量形式,其中垂直方向的分量就是标量重力测量的数学模型;简要介绍了我国研制成功的航空标量重力测量系统CHAGS的数据处理的过程,分析了标量重力测量中测线交叉点和重复测线的重力异常的精度;根据实测数据计算的结果表明:测线交叉点重力异常不符值的标准差约为5×10-5ms-2左右,重复测线的内符合精度优于5×10-5ms-2,达到了预期的要求。     

联合多种测高数据确定中国海及其邻域1．5′×1．5′重力异常

联合多种测高资料和Geosat/GM波形重构数据,基于EIGEN_CG01C重力场模型,采用沿轨迹加权最小二乘方法和逆Vening-Meinesz公式,确定了中国海及其邻域1.5′×1.5′重力异常。将计算结果与最新船测资料进行了比较,标准差为3.37×10-5m.s-2。