Journal ArticleDOI
Deformation of the Earth by surface loads
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TLDR
In this article, the static deformation of an elastic half-space by surface pressure is reviewed and a brief mention is made of methods for solving the problem when the medium is plane-strategized, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models.Abstract:
The static deformation of an elastic half-space by surface pressure is reviewed. A brief mention is made of methods for solving the problem when the medium is plane stratified, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models. Love-number calculations are outlined, and from the Love numbers, Green's functions are formed for the surface mass-load boundary-value problem. Tables of mass-load Green's functions, computed for realistic earth models, are given, so that the displacements, tilts, accelerations, and strains at the earth's surface caused by any static load can be found by evaluating a convolution integral over the loaded region.read more
Citations
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Journal ArticleDOI
A consistent combination of GNSS and SLR with minimum constraints
Susanne Glaser,Susanne Glaser,Mathias Fritsche,Krzysztof Sośnica,Krzysztof Sośnica,C. Rodriguez-Solano,Kan Wang,Rolf Dach,Urs Hugentobler,Markus Rothacher,Reinhard Dietrich +10 more
TL;DR: It is shown that a common origin, scale and orientation can be reliably realized from the combination strategy in comparison to the ITRF2008, and uncertainties due to solar radiation pressure modeling in the coefficient time series can be reduced up to 50 % in the GNSS+SLR solution compared to theGNSS-only solution.
Journal ArticleDOI
Spectral-finite element approach to viscoelastic relaxation in a spherical compressible Earth: application to GIA modelling
TL;DR: In this paper, the spectral-finite element approach was extended to incorporate the effect of compressibility and the present-day velocity field was computed for Peltier's ICE5G/VM2 earth-model/glaciation history combination considering the sea level equation in the formulation of Hagedoorn et al.
Journal ArticleDOI
Interannual variability of low-degree gravitational change, 1980–2002
TL;DR: In this paper, the Earth's gravity field at periods longer than 1 year, for degree-two spherical harmonics, DC21, DS21, and DC20, are estimated from accurately measured Earth rotational variations.
Book ChapterDOI
Atmospheric Pressure Loading
TL;DR: In this paper, a simple approach with regression coefficients between surface pressure and the vertical displacement and a more rigorous geophysical approach with load Love numbers and Green's functions are presented. And the special treatment of the thermal tides (S1 and S2), the importance of the reference pressure, as well as the inverted barometer hypothesis for the oceans.
Journal ArticleDOI
The impact of tidal errors on the determination of the Lense-Thirring effect from satellite laser ranging
Erricos C. Pavlis,Lorenzo Iorio +1 more
TL;DR: In this paper, the relativistic Lense-Thirring effect can be detected by means of a suitable combination of orbital residuals of the laser-ranged LAGEOS and LAGES II satellites, with which the gravitomagnetic effect is accounted for.
References
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Book
A treatise on the theory of Bessel functions
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book
The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
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The theory of spherical and ellipsoidal harmonics
TL;DR: The transformation of Laplace's equation in polar coordinates and the Legendres associated functions can be found in this article, where the authors also give approximate values of the generalized Legendres functions.
Journal ArticleDOI
Uniqueness in the Inversion of Inaccurate Gross Earth Data
George E. Backus,Freeman Gilbert +1 more
TL;DR: In this article, it was shown that a given set G of measured gross Earth data permits such a construction of localized averages, and if so, how to find the shortest length scale over which G gives a local average structure at a particular depth if the variance of the error in computing that local average from G is to be less than a specified amount.