UID:
almahu_9948601187702882
Format:
XII, 228 p. 6 illus.
,
online resource.
Edition:
1st ed. 1998.
ISBN:
9783540697855
Series Statement:
Lecture Notes in Earth Sciences, 73
Content:
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.
Note:
The stokes two-boundary-value problem for geoid determination -- The zeroth- and first-degree spherical harmonics in the Helmert 2nd condensation technique -- Topographical effects -- Planar approximation -- Taylor series expansion Newton kernel of the -- The effect of anomalous of topographical masses density -- Formulation of the Stokes two-boundary-value problem with a higher-degree reference field -- A discrete downward continuation problem determination for geoid -- The Stokes boundary-value problem on an ellipsoid of revolution -- The external Dirichlet boundary-value problem for the Laplace equation on an ellipsoid of revolution -- The Stokes boundary-value problem with ellipsoidal corrections in boundary condition -- The least-squares solution to the discrete altimetry-gravimetry boundary-value problem for determination of the global gravity model.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783540644620
Additional Edition:
Printed edition: ISBN 9783662162262
Language:
English
URL:
https://doi.org/10.1007/BFb0010337
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