Abstract
A gravimetric boundary value problem in the determination of the external gravity field of the Earth is discussed. The approach follows the concept of variational methods. The focus is on the construction of the stiffness matrix of Galerkin’s system of linear equations. Elementary potentials are used as a function basis and the elements of the matrix are computed for an ellipsoidal solution domain. Legendre’s functions of the first and the second kind are used as a natural tool in this computation.
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Holota, P. (2001). Variational Methods in the Recovery of the Gravity Field — Galerkin’s Matrix for an Ellipsoidal Domain. In: Sideris, M.G. (eds) Gravity, Geoid and Geodynamics 2000. International Association of Geodesy Symposia, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04827-6_47
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DOI: https://doi.org/10.1007/978-3-662-04827-6_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07634-3
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