Journal of Geodesy
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On the GPS widelane and its decorrelating property
Journal of Geodesy - Tập 71 - Trang 577-587 - 1997
In this contribution we consider the popular widelaning technique from the viewpoint of ambiguity decorrelation. It enables us to cast the technique into the framework of the least-squares ambiguity decorrelation adjustment (LAMBDA) and to analyse its relative merits. In doing so, we will provide answers to the following three questions. Does the widelane decorrelate? Does it explicitly appear in......
The affine constrained GNSS attitude model and its multivariate integer least-squares solution
Journal of Geodesy - - 2012
The temporal variation of the spherical and Cartesian multipoles of the gravity field: the generalized MacCullagh representation
Journal of Geodesy - Tập 74 - Trang 519-530 - 2000
The Cartesian moments of the mass density of a gravitating body and the spherical harmonic coefficients of its gravitational field are related in a peculiar way. In particular, the products of inertia can be expressed by the spherical harmonic coefficients of the gravitational potential as was derived by MacCullagh for a rigid body. Here the MacCullagh formulae are extended to a deformable body w......
Correcting superconducting gravity time-series using rainfall modelling at the Vienna and Membach stations and application to Earth tide analysis
Journal of Geodesy - - 2007
We demonstrate the possibility to improve the signal-to-noise ratio of superconducting gravity time-series by correcting for local hydrological effects. Short-term atmospheric events associated with heavy rain induce step-like gravity signals that deteriorate the frequency spectrum estimates. Based on 4D modeling constrained by high temporal resolution rain gauge data, rainfall admittances for the......
Regional gravity modeling in terms of spherical base functions
Journal of Geodesy - Tập 81 - Trang 17-38 - 2006
This article provides a survey on modern methods of regional gravity field modeling on the sphere. Starting with the classical theory of spherical harmonics, we outline the transition towards space-localizing methods such as spherical splines and wavelets. Special emphasis is given to the relations among these methods, which all involve radial base functions. Moreover, we provide extensive applica......
Second order design of a free distance network, considering different types of criterion matrices
Journal of Geodesy - Tập 54 - Trang 531-543 - 1980
A numerically efficient solution strategy is developed for the second-order design of a free distance network. It is based on the fact that the direct (non-canonical) way has a regular least-squares solution. A flow chart illustrates the direct construction of the final equations, using a list of point coordinates and a list of projected distances as input. Results are shown for an actual network ......
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