Determining the maximum degree of harmonic coefficients in geopotential models by Monte Carlo methods

Studia Geophysica et Geodaetica

Volumn 49, Issue 3, 2005, Pages 259-275

  Koch, K R ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Bayesian statistics; Degree variances; Gibbs sampler; Hypothesis tests

Indexed keywords

GEOPOTENTIAL; HARMONIC ANALYSIS;

EID: 23344454353     PISSN: 00393169     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11200-005-0009-1     Document Type: Article

References (16)

1. O.L. Colombo 1981 Global Geopotential Modelling from Satellite-to-Satellite Tracking Report No. 317 Department of Geodetic Science and Surveying, Ohio State University Columbus, Ohio, USA
2. ESA 1999 Gravity Field and Steady-State Ocean Circulation Mission ESA Publications Division, ESA SP-1233(1), ESTEC Noordwijk, The Netherlands
3. A. Gelman J.B. Carlin H.S. Stern and D.B. Rubin 2004 Bayesian Data Analysis 2nd Ed. Chapman and Hall Boca Raton, USA
4. Gundlich B., Koch K.R. and Kusche J., 2003. Gibbs sampler for computing and propagating large covariance matrices. J. Geodesy, 77. 514-528. 10.1007/s00190-003-0350-5
5. W.M. Kaula 1966 Theory of Satellite Geodesy Blaisdell Waltham, Mass., USA
6. K.R. Koch 1999 Parameter Estimation and Hypothesis Testing in Linear Models 2nd Ed. Springer Verlag Berlin, Germany
7. K.R. Koch 2000 Einführung in die Bayes-Statistik Springer Verlag Berlin, Germany (in German)
8. Koch K.R., 2002. Monte-Carlo-Simulation für Regularisierungsparameter. Z. Geodäsie, Geoinformation und Landmanagement, 127, 305-309.
9. Koch K.R. and Kusche J., 2002. Regularization of geopotential determination from satellite data by variance components. J Geodesy, 76, 259-268. 10.1007/s00190-002-0245-x
10. Koch K.R., Kusche J., Boxhammer C. and Gundlich B., 2004. Parallel Gibbs sampling for computing and propagating large covariance matrices. Z. Geodasie, Geoinformation und Landmanagement, 129, 32-42.
11. Mayer-Gürr T., Ilk K.H., Eicker A. and Feuchtinger M., 2005. ITG-CHAMP01: A CHAMP gravity field model from short kinematical arcs of a one-year observation period. J. Geodesy, 78, 462-480. 10.1007/s00190-004-0413-2
12. Reigber Ch., Schwintzer P. and Lühr H., 1999. The CHAMP geopotential mission. Boll. Geof. Teor. Appl., 40, 285-289.
13. Ch. Reigber H. Jochmann J. Wunsch S. Petrovic P. Schwintzer F. Barthelmes K.-H. Neumayer R. König Ch. Förste G. Balmino R. Biancale J.-M. Lemoine S. Loyer F. Perosanz 2005 Earth gravity field and seasonal variability from CHAMP in: Ch. Reigber H. Lühr P. Schwintzer J. Wickert (Eds.) Earth Observation with CHAMP-Results from Three Years in Orbit Springer Verlag Berlin, Germany 25-30
14. Reigber Ch., Schwintzer P., Stubenvoll R., Schmidt R., Flechtner F., Meyer U., König R., Neumayer H., Förste Ch., Barthelmes F., Shu S.Y., Balmino G., Biancale R., Lemoine J.-M., Meixner H. and Raimondo J.C., 2005b. A high resolution global gravity field model combining CHAMP and GRACE satellite mission and surface data: EIGEN-CG01C. J. Geodesy (in print).
15. Schwintzer P., Reigber Ch., Bode A., Kang Z., Zhu S.Y., Massmann F.-H., Raimondo J.C., Biancale R., Balmino G., Lemoine J.M., Moynot B., Marty J.C., Barlier F. and Boudon Y., 1997. Long-wavelength global gravity field models: GRIM4-S4, GRIM4-C4. J. Geodesy, 71, 189-208. 10.1007/s001900050087
16. Sjoberg L.E., 1987. The estimation of the power spectrum and reliability of models of the Earth's gravity field by intercomparison of independent models. Manuscripta Geodaetica, 12, 104-112.