Boundary-Value Problems for Gravimetric Determination of a Precise Geoid
Authors: Martinec, Zdenek
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- About this book
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This book offers a simultaneous treatment of the theory and numerical application of boundary-value problems related to the determination of a precise geoid from gravimetric data. The following subjects are discussed: topographical effects and their computations in precise gravimetric geoid determination, the downward continuation of a harmonic function, Stokes' problem formulated on an ellipsoid of revolution, spherical Stokes' problem with ellipsoidal corrections involved in boundary conditions for an anomalous potential, and the altimetry-gravimetry boundary-value problem. The answer to a number of scientific problems, raised and discussed in geodetic literature over the past years, can be found here. The book is intended for scientists and advanced graduate students.
- Table of contents (12 chapters)
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The stokes two-boundary-value problem for geoid determination
Pages 6-27
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The zeroth- and first-degree spherical harmonics in the Helmert 2nd condensation technique
Pages 28-33
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Topographical effects
Pages 34-49
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Planar approximation
Pages 50-55
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Taylor series expansion Newton kernel of the
Pages 56-71
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Boundary-Value Problems for Gravimetric Determination of a Precise Geoid
- Authors
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- Zdenek Martinec
- Series Title
- Lecture Notes in Earth Sciences
- Series Volume
- 73
- Copyright
- 1998
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-69785-5
- DOI
- 10.1007/BFb0010337
- Softcover ISBN
- 978-3-540-64462-0
- Series ISSN
- 0930-0317
- Edition Number
- 1
- Number of Pages
- XII, 228
- Number of Illustrations
- 6 b/w illustrations
- Topics
