Abstract
This discussion of the transformation of the spherical or elliptical boundary value problems of physical geodesy into essentially plane problems was inspired by Grafarend and Krumm [1996]. By transforming the Laplacian on the sphere or the ellipsoid under a conformal map projection, transformations may be found for the classical boundary problems. This leads to the idea of performing local geoid computations by variational methods, using perturbation methods for constructing suitable trial functions. As examples stereographic projections and projections of Mercator type are discussed.
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© 2003 Springer-Verlag Berlin Heidelberg
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Svensson, S.L. (2003). Map Projections and Boundary Problems. In: Grafarend, E.W., Krumm, F.W., Schwarze, V.S. (eds) Geodesy-The Challenge of the 3rd Millennium. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05296-9_25
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DOI: https://doi.org/10.1007/978-3-662-05296-9_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07733-3
Online ISBN: 978-3-662-05296-9
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