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1.
The earth gravity field model CDS01S of degree and order 36 has been recovered from the post processed Science Orbits and on-board accelerometer data of GFZ's CHAMP satellite. The model resolves the geoid with an accuracy of better than 4 cm at a resolution of 700 km half-wavelength. By using the degree difference variances of geopotential coefficients to compare the model CDS01S with EIGEN3P, EIGEN1S and EGM96, the result indicates that the coefficients of CDS01S are most close to those of EIGEN3P. The result of the comparison between the accuracies of geopotential coefficients in the above models, indicates that the accuracy of coefficients in CDS01S is higher than that in EGM96. The geoid undulations of CDS01S and GGM01C up to 30 degrees are calculated and the standard deviation is 4. 7 cm between them. 相似文献
2.
基于卫星动力学理论,采用德国地球科学中心GFZ提供的CHAMP精密轨道数据和星载加速度计数据,反演了36阶地球重力场模型CDS01S。用不同模型之间的位系数差比较模型CDS01S、EIGEN3P、EIGEN1S及EGM96,表明CDS01S模型的位系数最接近于EIGEN3P;比较上述几种模型的位系数精度,表明CDS01S模型的位系数精度高于EGM96;用CDS01S和GGM01C的前30阶位系数分别计算全球2°×2°网格的大地水准面起伏,两者之间的标准偏差为4.7 cm。 相似文献
3.
基于德国慕尼黑技术大学(TUM)提供的100 d的CHAMP卫星几何法轨道和GFZ提供的加速度计数据,计算出了50×50阶地球重力场模型XISM-CHAMP01,并与EIGEN-CG03C、EIGEN-CHAMP03S、EIGEN2、EIGEN1S、EGM96模型进行了比较。结果表明,XISM-CHAMP01模型精度明显优于相同阶次EGM96模型和EIGEN1S模型,并与EIGEN2模型精度相当。 相似文献
4.
改进的能量守恒方法及其在CHAMP重力场恢复中的应用 总被引：1，自引：0，他引：1
XU Tianhe HE Kaifei Xi’an Research Institute of Surveying Mapping Middle Yanta Road Xi’an China. 《地球空间信息科学学报》2008,11(3):168-173
An efficient method for gravity field determination from CHAMP orbits and accelerometer data is referred to as the energy balance approach. A new CHAMP gravity field recovery strategy based on the improved energy balance approach IS developed in this paper. The method simultaneously solves the spherical harmonic coefficients, daily Integration constant, scale and bias parameters. Two 60 degree and order gravitational potential models, XISM-CHAMPO1S from the classical energy balance approach, and XISM-CHAMPO2S from the improved energy balance, are determined using about one year＇s worth of CHAMP kinematic orbits from TUM and accelerometer data from GFZ. Comparisons among XISM-CHAMPO1S, XISM-CHAMPO2S, EIGEN-CGO3C, EIGEN-CHAMPO3S, EIGEN2, ENIGNIS and EGM96 are made. The results show that the XISM-CHAMPO2S model is more accurate than EGM96, EIGENIS, EIGEN2 and XISM-CHAMPO1S at the same degree and order, and has almost the same accuracy as EIGEN-CHAMPO3S. 相似文献
5.
A. Ellmann 《Journal of Geodesy》2005,79(1-3):11-23
In regional gravimetric geoid determination, it is customary to use the modified Stokes formula that combines local terrestrial data with a global geopotential model. This study compares two deterministic and three stochastic modification methods for computing a regional geoid over the Baltic countries. The final selection of the best modification method is made by means of two accuracy estimates: the expected global mean square error of the geoid estimator, and the statistics of the post-fit residuals between the computed geoid models and precise GPS-levelling data. Numerical results show that the modification methods tested do not provide substantially different results, although the stochastic approaches appear formally better in the selected study area. The 2.8–5.3 cm (RMS) post-fit residuals to the GPS-levelling points indicate the suitability of the new geoid model for many practical applications. Moreover, the numerical comparisons reveal a one-dimensional offset between the regional vertical datum and the geoid models based upon the new GRACE-only geopotential model GGM01s. This gives an impression of a greater reliability of the new model compared to the earlier, EGM96-based and somewhat tilted regional geoid models for the same study area. 相似文献
6.
基于能量守恒方法恢复CHAMP重力场模型 总被引：3，自引：0，他引：3
介绍了基于能量守恒定律恢复地球重力场模型的基本原理和算法.指出了CHAMP加速度计数据存在的问题,提出了整体求解尺度因子、偏差参数和偏差漂移的数学模型及差分算法.利用2002年1月的CHAMP快速科学轨道数据和加速度计数据计算出了50 × 50地球重力场模型XISM02.将该模型与EGM96,GRIM5C1,EIGEN1S,EIGEN2模型进行了比较,并用北极实测重力数据对上述模型进行了检验.结果表明:XISM02模型在北极地区精度与EIGEN1S,EIGEN2相当. 相似文献
7.
Taking China as the region for test the potential of the new satellite gravity technique, satelliteto-satellite tracking for improving the accuracy of regional gravity field model is studied. With WDM94 as reference, the gravity anomaly residuals of three models, the latest two GRACE global gravity field model (EIGEN_GRACE02S, GGM02S) and EGM96, are computed and compared. The causes for the differences among the residuals of the three models are discussed. The comparison between the residuals shows that in the selected region, EIGEN_GRACE02S or GGM02S is better than EGM96 in lower degree part (less than 110 degree). Additionally, through the analysis of the model gravity anomaly residuals, it is found that some systematic errors with periodical properties exist in the higher degree part of EIGEN and GGM models, the results can also be taken as references in the validation of the SST gravity data. 相似文献
8.
LUO Jia LUO Zhicai ZOU Xiancai WANG Haihong 《地球空间信息科学学报》2006,9(4):265-268
IntroductionThe high-accauary and high-resolution Earth’sgravity field can be recovered with satellite-to-satellite tracking (SST) technique , the preciseintersatellite tracking technique . The SSTtech-nique has been studied since 1960’s . The modesof S… 相似文献
9.
One of the aims of the Earth Explorer Gravity Field and Steady-State Ocean Circulation (GOCE) mission is to provide global
and regional models of the Earth's gravity field and of the geoid with high spatial resolution and accuracy. Using the GOCE
error model, simulation studies were performed in order to estimate the accuracy of datum transfer in different areas of the
Earth. The results showed that with the GOCE error model, the standard deviation of the height anomaly differences is about
one order of magnitude better than the corresponding value with the EGM96 error model. As an example, the accuracy of the
vertical datum transfer from the tide gauge of Amsterdam to New York was estimated equal to 57 cm when the EGM96 error model
was used, while in the case of GOCE error model this accuracy was increased to 6 cm. The geoid undulation difference between
the two places is about 76.5 m. Scaling the GOCE errors to the local gravity variance, the estimated accuracy varied between
3 and 7 cm, depending on the scaling model.
Received: 1 March 2000 / Accepted: 21 February 2001 相似文献
10.
由CHAMP星载GPS相位双差数据解算地球引力场模型 总被引：1，自引：0，他引：1
利用7d的CHAMP星载GPS相位观测数据和48个IGS跟踪站的观测数据，构造星地双差相位观测量，进行GPS数据预处理；利用Cowell Ⅱ数值法进行轨道积分和分块Bayes最小二乘参数估计，解算了地球引力场位系数。该模型与EGM96相比（70阶次），大地水准面起伏差异最大为2．872m，差弄精度为0．522m，平均差异为-0．003m，这说明本文解算的地球重力场模型与EGM96没有系统性差异。 相似文献
11.
Minimization and estimation of geoid undulation errors 总被引：2，自引：1，他引：1
The objective of this paper is to minimize the geoid undulation errors by focusing on the contribution of the global geopotential model and regional gravity anomalies, and to estimate the accuracy of the predicted gravimetric geoid.The geopotential model's contribution is improved by (a) tailoring it using the regional gravity anomalies and (b) introducing a weighting function to the geopotential coefficients. The tailoring and the weighting function reduced the difference (1) between the geopotential model and the GPS/levelling-derived geoid undulations in British Columbia by about 55% and more than 10%, respectively.Geoid undulations computed in an area of 40° by 120° by Stokes' integral with different kernel functions are analyzed. The use of the approximated kernels results in about 25 cm () and 190 cm (maximum) geoid errors. As compared with the geoid derived by GPS/levelling, the gravimetric geoid gives relative differences of about 0.3 to 1.4 ppm in flat areas, and 1 to 2.5 ppm in mountainous areas for distances of 30 to 200 km, while the absolute difference (1) is about 5 cm and 20 cm, respectively.A optimal Wiener filter is introduced for filtering of the gravity anomaly noise, and the performance is investigated by numerical examples. The internal accuracy of the gravimetric geoid is studied by propagating the errors of the gravity anomalies and the geopotential coefficients into the geoid undulations. Numerical computations indicate that the propagated geoid errors can reasonably reflect the differences between the gravimetric and GPS/levelling-derived geoid undulations in flat areas, such as Alberta, and is over optimistic in the Rocky Mountains of British Columbia.Paper presented at the IAG General Meeting, Beijing, China, August 8–13, 1993. 相似文献
12.
提出了一种基于大地水准面等位面特性的地球重力场模型优劣评价方法。通过取任一重力大地水准面为参考面,计算不同地球重力场模型在该面上的重力位标准差,以此作为不同模型相对优劣的评价指标。利用该方法对不同地球重力场模型以及同一重力场模型在不同区域的精度进行了评价。结果表明:EGM96、OSU91A模型的大地水准面高精度分别为±11.1 cm、±14.3 cm,说明EGM96要优于OSU91A,EGM2008、EIGEN-6C4模型的大地水准面高精度分别为±8.8 cm、±8.9 cm,说明该两个模型的精度相当,与已有研究结果一致,表明本文方法的有效性与适用性。进一步研究结果显示,对于全球大地水准面,EGM2008和EIGEN-6C4模型的大地水准面高精度分别为±11.3 cm和±14.1 cm,即在厘米级精度上EGM2008略优。 相似文献
13.
中国区域SST卫星重力场模型精度分析 总被引：1，自引：0，他引：1
通过比较最新SST地球重力场模型EIGEN_GRACE02S、GGM02S和EGM96模型在中国区域与WDM94模型重力异常残差的差异，分析差异产生的原因及分布，研究新一代卫星重力方法对于提高区域重力场模型精度的潜力以及存在的问题。结果证明，卫星跟踪卫星方法对于现有模型中低阶部分有明显改善。 相似文献
14.
The second-order derivatives of the Earth’s potential in the local north-oriented reference frame are expanded in series of
modified spherical harmonics. Linear relations are derived between the spectral coefficients of these series and the spectrum
of the geopotential. On the basis of these relations, recurrence procedures are developed for evaluating the geopotential
coefficients from the spectrum of each derivative and, inversely, for simulating the latter from a known geopotential model.
Very simple structure of the derived expressions for the derivatives is convenient for estimating the geopotential coefficients
by the least-squares procedure, at a certain step of processing satellite gradiometry data. Due to the orthogonality of the
new series, the quadrature formula approach can be also applied, which allows avoidance of aliasing errors caused by the series
truncation. The spectral coefficients of the derivatives are evaluated on the basis of the derived relations from the geopotential
models EGM96 and EIGEN-CG01C at a mean orbital sphere of the GOCE satellite. Various characteristics of the spectra are studied
corresponding to the EGM96 model.
Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users. 相似文献
15.
为了得到我国某陆海交界区厘米级精度的区域(似)大地水准面,利用43个高精度GPS/水准点和1 045个实测重力点数据对EGM96,WDM94和GFZ计算的局部重力(似)大地水准面进行了比较与评价。结果表明,在该测区用移去-恢复法确定重力(似)大地水准面时,EGM96应该是首选参考重力场模型。该测区处在陆海交界处,海域无GPS/水准数据。经比较发现,采用距离倒数加权平均法将该区重力似大地水准面拟合于GPS/水准数据比在大范围使用的多项式法效果更好。采用该方法计算的测区(似)大地水准面精度优于3cm。 相似文献
16.
The standard analytical approach which is applied for constructing geopotential models OSU86 and earlier ones, is based on
reducing the boundary value equation to a sphere enveloping the Earth and then solving it directly with respect to the potential
coefficients
n,m
. In an alternative procedure, developed by Jekeli and used for constructing the models OSU91 and EGM96, at first an ellipsoidal
harmonic series is developed for the geopotential and then its coefficients
n,m
e
are transformed to the unknown
n,m
. The second solution is more exact, but much more complicated. The standard procedure is modified and a new simple integral
formula is derived for evaluating the potential coefficients. The efficiency of the standard and new procedures is studied
numerically. In these solutions the same input data are used as for constructing high-degree parts of the EGM96 models. From
two sets of
n,m
(n≤360,|m|≤n), derived by the standard and new approaches, different spectral characteristics of the gravity anomaly and the geoid undulation
are estimated and then compared with similar characteristics evaluated by Jekeli's approach (`etalon' solution). The new solution
appears to be very close to Jekeli's, as opposed to the standard solution. The discrepancies between all the characteristics
of the new and `etalon' solutions are smaller than the corresponding discrepancies between two versions of the final geopotential
model EGM96, one of them (HDM190) constructed by the block-diagonal least squares (LS) adjustment and the other one (V068)
by using Jekeli's approach. On the basis of the derived analytical solution a new simple mathematical model is developed to
apply the LS technique for evaluating geopotential coefficients.
Received: 12 December 2000 / Accepted: 21 June 2001 相似文献
17.
用GRACE星间速度恢复地球重力场 总被引：9，自引：2，他引：7
本文首先给出了用星间速度恢复地球重力场的数学模型,然后用GRACE卫星30天的星间速度观测值计算了一个100阶的地球重力场模型DQM2006S2。为了对这一模型的精度进行评述,将它与EGM 96,EIGEN-CHAMP03S和GGM01S3个地球重力场模型作了比较,并用这一模型计算了高程异常与GPS/水准实际观测值进行了比较,结果表明:DQM2006S2模型精度优于EGM 96和EIGEN-CHAMP03S模型精度,但是不及GGM01S模型精度。精度不及GGM01S的原因是GGM01S模型使用了111天的星间速度数据,其数据量约为DQM2006S2模型使用数据量的4倍。 相似文献
18.
Two numerical techniques are used in recent regional high-frequency geoid computations in Canada: discrete numerical integration
and fast Fourier transform. These two techniques have been tested for their numerical accuracy using a synthetic gravity field.
The synthetic field was generated by artificially extending the EGM96 spherical harmonic coefficients to degree 2160, which
is commensurate with the regular 5′ geographical grid used in Canada. This field was used to generate self-consistent sets of synthetic gravity anomalies and
synthetic geoid heights with different degree variance spectra, which were used as control on the numerical geoid computation
techniques. Both the discrete integration and the fast Fourier transform were applied within a 6∘ spherical cap centered at each computation point. The effect of the gravity data outside the spherical cap was computed using
the spheroidal Molodenskij approach. Comparisons of these geoid solutions with the synthetic geoid heights over western Canada
indicate that the high-frequency geoid can be computed with an accuracy of approximately 1 cm using the modified Stokes technique,
with discrete numerical integration giving a slightly, though not significantly, better result than fast Fourier transform.
Received: 2 November 1999 / Accepted: 11 July 2000 相似文献
19.
GPS水准采用移去恢复技术拟合大地水准面方法的研究 总被引：1，自引：0，他引：1
精化大地水准面是现代重力场和大地测量学工作的重要任务之一。探讨了利用已知水准点上的高程异常拟合区域大地水准面模型时,首先移去EGM96模型计算得到的部分,然后基于移动曲面和多面函数方法分别对剩余高程异常进行拟合,在内插点上再利用EGM96模型把移去的部分恢复,得到该点的高程异常。通过对某局部地区水准点的计算表明,引入EGM96模型的拟合高程异常的精度有所改进,对于大范围地区,这种方法有望能更好地提高大地水准面的拟合精度。 相似文献
20.
Canadian gravimetric geoid model 2010 总被引：4，自引：1，他引：3
A new gravimetric geoid model, Canadian Gravimetric Geoid 2010 (CGG2010), has been developed to upgrade the previous geoid model CGG2005. CGG2010 represents the separation between the reference ellipsoid of GRS80 and the Earth’s equipotential surface of $W_0=62{,}636{,}855.69~\mathrm{m}^2\mathrm{s}^{-2}$ W 0 = 62 , 636 , 855.69 m 2 s ? 2 . The Stokes–Helmert method has been re-formulated for the determination of CGG2010 by a new Stokes kernel modification. It reduces the effect of the systematic error in the Canadian terrestrial gravity data on the geoid to the level below 2 cm from about 20 cm using other existing modification techniques, and renders a smooth spectral combination of the satellite and terrestrial gravity data. The long wavelength components of CGG2010 include the GOCE contribution contained in a combined GRACE and GOCE geopotential model: GOCO01S, which ranges from $-20.1$ ? 20.1 to 16.7 cm with an RMS of 2.9 cm. Improvement has been also achieved through the refinement of geoid modelling procedure and the use of new data. (1) The downward continuation effect has been accounted accurately ranging from $-22.1$ ? 22.1 to 16.5 cm with an RMS of 0.9 cm. (2) The geoid residual from the Stokes integral is reduced to 4 cm in RMS by the use of an ultra-high degree spherical harmonic representation of global elevation model for deriving the reference Helmert field in conjunction with a derived global geopotential model. (3) The Canadian gravimetric geoid model is published for the first time with associated error estimates. In addition, CGG2010 includes the new marine gravity data, ArcGP gravity grids, and the new Canadian Digital Elevation Data (CDED) 1:50K. CGG2010 is compared to GPS-levelling data in Canada. The standard deviations are estimated to vary from 2 to 10 cm with the largest error in the mountainous areas of western Canada. We demonstrate its improvement over the previous models CGG2005 and EGM2008. 相似文献