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SpringerBriefs in Earth Sciences

Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions

Authors: Sansò, Fernando, Sideris, Michael

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  • Shows for the first time the theoretical equivalence of the various geodetic boundary value problems, with and without terrain reductions
  • Offers a rigorous, alternative interpretation of the usual downward continuation approach as a change of boundary approach
  • Provides the theoretical foundations for why the improperly posed downward continuation method has produced reasonable results in many practical applications of geoid/quasi-geoid determination
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eBook 46,00 €
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  • ISBN 978-3-319-46358-2
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Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-46357-5
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About this book

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.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-46358-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-46357-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions
Authors
Series Title
SpringerBriefs in Earth Sciences
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-46358-2
DOI
10.1007/978-3-319-46358-2
Softcover ISBN
978-3-319-46357-5
Series ISSN
2191-5369
Edition Number
1
Number of Pages
V, 81
Number of Illustrations
11 b/w illustrations, 2 illustrations in colour
Topics