Abstract
The classical geodetic boundary value problem is a linear free boundary value problem, which implies considerable mathematical difficulties for the investigation of its existence and uniqueness properties. In 1977 F. Sansò found a break-through by transforming the problem into the gravity space, using Legendre transformation. Nevertheless, the transformed problem still suffers from a singularity at the origin. W. Keller proposed in 1987 a modified contact transformation, which provides a boundary value problem free of singularities.
Despite its conceptual advantages the gravity space problem was not yet implemented numerically. The paper aims at a study of this numerical implementation in the global case. It gives indication that gravity field determination can also successfully be carried out in the gravity space.
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References
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© 2007 Springer-Verlag Berlin Heidelberg
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Austen, G., Keller, W. (2007). Numerical implementation of the gravity space approach - proof of concept. In: Tregoning, P., Rizos, C. (eds) Dynamic Planet. International Association of Geodesy Symposia, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49350-1_44
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DOI: https://doi.org/10.1007/978-3-540-49350-1_44
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49349-5
Online ISBN: 978-3-540-49350-1
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