Journal ArticleDOI
On using satellite altimetry to determine the general circulation of the oceans with application to geoid improvement
Carl Wunsch,E. M. Gaposchkin +1 more
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In this paper, the problem of combining hydrography with marine geodesy and satellite altimetry for the purpose of determining the general circulation of the oceans, defining the eddy field, and improving the marine geoid is described.Abstract:
We describe the problem of combining hydrography with marine geodesy and satellite altimetry for the purpose of determining the general circulation of the oceans, defining the eddy field, and improving the marine geoid. The critical problem is to understand the error budgets of four fields: orbit, height measurement, geoid, and ocean water density. Corrections must be made for atmospheric load, tides, tropospheric water vapor, wave height, and other parameters. A general formalism for deducing the geoid and ocean circulation is obtained in terms of inverse theory and applied to some limited examples.read more
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Linear Differential Operators. By C. Lanczos. Pp. 580. 80s. 1961. (Van Nostrand, London)
TL;DR: In this article, the Fourier series for differentiable functions of higher differentiability has been studied and an alternative method of estimation has been proposed for estimating the Gibbs oscillations of the finite Fourier expansion.
Journal ArticleDOI
Multiresolution Markov models for signal and image processing
TL;DR: This presentation reviews a significant component of the rich field of statistical multiresolution (MR) modeling and processing, and shows how a variety of methods and models relate to this framework including models for self-similar and 1/f processes.
Journal ArticleDOI
The Joint Gravity Model 3
Byron D. Tapley,Michael M. Watkins,Michael M. Watkins,John C Ries,G. W. Davis,G. W. Davis,Richard J. Eanes,S. R. Poole,Hyung-Jin Rim,Bob E. Schutz,C. K. Shum,R. S. Nerem,R. S. Nerem,Francis J. Lerch,J. A. Marshall,S. M. Klosko,Nikolaos K. Pavlis,R. G. Williamson +17 more
TL;DR: An improved Earth geopotential model, complete to spherical harmonic degree and order 70, has been determined by combining the Joint Gravity Model 1 (JGM 1) coefficients, and their associated error covariance, with new information from SLR, DORIS, and GPS tracking of TOPEX/Poseidon, laser tracking of LAGEOS 1, LS1, LS2, and Stella as discussed by the authors.
Journal ArticleDOI
Precision orbit determination for TOPEX/POSEIDON
Byron D. Tapley,John C Ries,G. W. Davis,Richard J. Eanes,Bob E. Schutz,C. K. Shum,M. M. Watkins,J. A. Marshall,R. S. Nerem,B. H. Putney,S. M. Klosko,Scott B. Luthcke,D. E. Pavlis,R. G. Williamson,Nikita P. Zelensky +14 more
TL;DR: The TOPEX/POSEIDON mission objective requires that the radial position of the spacecraft be determined with an accuracy better than 13 cm RMS (root mean square). This stringent requirement is an order of magnitude below the accuracy achieved for any altimeter mission prior to the definition of the TOPEX mission as mentioned in this paper.
Journal ArticleDOI
DNSC08 mean sea surface and mean dynamic topography models
TL;DR: In this paper, the authors presented a new high-resolution 1 min global mean sea surface (MSS) derived from the slightly smoothed difference between the DNSC08 MSS and the EGM2008 geoid.
References
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Book
Theory of satellite geodesy
TL;DR: The theory of satellite geodesy writer by Why as discussed by the authors is a best seller book on the planet with excellent value and content is integrated with fascinating words and can be read online or download this book by right here.
Journal ArticleDOI
Numerical Applications of a Formalism for Geophysical Inverse Problems
George E. Backus,J. F. Gilbert +1 more
TL;DR: In this paper, the authors prove that the collection of Earth models which yield the physically observed values of any independent set of gross Earth data is either empty or infinite dimensional, and exploit this very high degree of non-uniqueness in real geophysical inverse problems to generate computer programs which iteratively produce Earth models to fit given gross earth data and satisfy other criteria.
Journal ArticleDOI
The general linear inverse problem - Implication of surface waves and free oscillations for earth structure.
TL;DR: In this paper, the discrete general linear inverse problem is reduced to a set of m equations in n unknowns and a linear combination of the eigenvectors of the coefficient matrix can be used to determine parameter resolution and information distribution among the observations.