Author: Helmut Moritz
Publisher:
ISBN:
Category :
Languages : en
Pages : 48

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Book Description

Author: Helmut Moritz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 48

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Book Description
This report compares the existing methods for solving the geodetic boundary value problem, i.e., the gravimetric determination of the geoid (traditional methods) or the physical surface of the earth (modern methods). A unified treatment is attempted by deducing all these methods from one very general integral equation. Gravity reduction is discussed from the traditional and the modern point of view. The different kinds of free-air anomalies and free-air reductions, which are a controversial subject, are compared. Emphasis lies on the general aspects of the methods discussed. (Author).

Author: Helmut Moritz
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 58

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Book Description

Author: Bernhard Heck
Publisher:
ISBN:
Category : Geodesy
Languages : en
Pages : 74

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Book Description

Author: Erik Tengström
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 44

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Book Description

Author: Fernando Sansò
Publisher: Springer
ISBN: 3319463586
Category : Science
Languages : en
Pages : 83

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Book Description
This book offers a new approach to interpreting the geodetic boundary value problem, successfully obtaining the solutions of the Molodensky and Stokes boundary value problems (BVPs) with the help of downward continuation (DC) based methods. Although DC is known to be an improperly posed operation, classical methods seem to provide numerically sensible results, and therefore it can be concluded that such classical methods must in fact be manifestations of different, mathematically sound approaches. Here, the authors first prove the equivalence of Molodensky’s and Stoke's approaches with Helmert’s reduction in terms of both BVP formulation and BVP solutions by means of the DC method. They then go on to show that this is not merely a downward continuation operation, and provide more rigorous interpretations of the DC approach as a change of boundary approach and as a pseudo BVP solution approach.

Author: Arne Bjerhammar
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 24

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Book Description

Author: Fernando Sansò
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 620

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Book Description
The precise determination of the figure of the earth and its exterior gravitational field requires the solution of the geodetic boundary value problem (GBVP). Recently, a whole series of new measurement techniques has became available, in particular air- and spaceborne methods. They will make its solution much more complete and accurate and will contribute to a better understanding of ocean circulation and of the earth's interior. The book consists of contributions from leading scientists presented at an international summer school. It covers all aspects of the solution of the GBVP, from a mathematical basis via geodetic modeling to its relationship with advanced measurements. It provides three foundations to determine the geoid at a 1-cm precision level.

Author: F. Sacerdote
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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Book Description

Author: Bernhard Hofmann-Wellenhof
Publisher: Springer Science & Business Media
ISBN: 3211335455
Category : Science
Languages : en
Pages : 413

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Book Description
"Physical Geodesy", published in 1967, has for many years been considered as the standard introduction to its field. The enormous progress since then has required a complete reworking. While basic material has been retained other parts are completely updated. However, there is a seamless welding of new ideas and methods (GPS, satellites, collocation). Highlights include: emphasis on global integration of geometry and gravity, a simplified approach to Molodensky's theory without integral equations, and a general combination of all geodetic data by least-squares collocation. In the second edition minor mistakes have been corrected.