Gravity Model TUM-2Sp Based on the Energy Balance Approach and Kinematic CHAMP Orbits

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Kinematic velocities are needed when gravity field recovery ought to be done from kinematic positions by the use of the energy integral.[4] has tested smoothing cubic splines applying on CHAMP kinematic orbit. The solution has been found potent when a reference gravity field is used during the processing. However the possibility of an error emerges that the reference field 'leaks' into the estimated velocity, which would harmfully affect the gravity field model solution in the subsequent step. The use of smoothing splines demands strict investigations in the Fourier-domain. Tests in the Fourier domain are shown in the recent paper.

“…An important experience on CHAMP gravity fields is that no useful signal over about degree 70 is available [2,3,5,8]. It is in accordance with our result.…”

Section: Discussion and Summarysupporting

confidence: 91%

Section: Discussion and Summarymentioning

confidence: 99%

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Spectral analysis of CHAMP kinematic velocities determined by applying smoothing cubic splines

Földváry¹

2008

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“…This law depends on position, x (in the centrifugal term, 1/2 (ω × x) 2 and implicitly in the potential term, V pot ) and on velocity,ẋ (in the kinetic energy term, 1/2ẋ 2 ). Having an orbit, i.e.…”

Section: Introductionmentioning

confidence: 99%

Analysis of numerical differentiation methods applied for determination of kinematic velocities for LEOs

Földváry¹

2007

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Kinematic orbits provide a time series of independent positions, which are a good base for gravity field recovery. Gravity field recovery using the energy integral requires numerical differentiation in order to get velocity information for kinetic energy. This paper deals with numerical differentiation methods to test the most effective method for velocity determination of a LEO (Low Earth Orbiter).

“…According to a priori information on the content of the CHAMP measurements [7] the maximal degree and order of the spherical harmonic analysis has been set to 60, which means 3721 unknowns. The normal matrix has been derived from the design matrix based on Eq.…”

Section: Pre-processingmentioning

confidence: 99%

Determination of a CHAMP gravity model based on the Newtonian equation of motion

Földváry

Bokor²

2010

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As the CHAMP has been launched as the first of the gravity satellites of the 2000s, its processing has been a real challenge for the geodetic community. Several methods have been developed for gravity field modelling based on different theoretical backgrounds. In this study the feasibility of the direct use of the Newtonian equation of motion has been studied. Then numerical results for 2 years of CHAMP observations are presented. Though the method failed to provide the best CHAMPonly gravity field model, it has been found to be generally feasible, and worth for using of other gravity satellite data. KeywordsNewtonian equation of motion · gravity satellite · CHAMP · gravity field modelling Acknowledgement This work is connected to the scientific program of the "Development of quality-oriented and harmonized R+D+I strategy and functional model at BME" project.