Abstract
The shape of the Earth makes it desirable to use spherical polar coordinates in describing a number of its properties, including those connected with the gravitational field (Chapter 4) and with free Earth oscillations (Chapter 14). The analysis in terms of spherical polar coordinates involves consideration of spherical harmonics. The present chapter gives an outline of results needed in applications in this book. More complete analytical detail can be found in standard works on spherical harmonics.
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References
Bath, M. (1968). Mathematical Aspects of Seismology, Elsevier, Amsterdam.
Jeffreys, Sir H. and Jeffreys, Bertha Swirles (1950).Methods of Mathematical Physics (2nd Ed.), Cambridge University Press.
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© 2002 Springer-Verlag Berlin, Heidelberg
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Bullen, K.E. (2002). Spherical harmonics. In: The Earth’s Density. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5700-8_3
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DOI: https://doi.org/10.1007/978-94-009-5700-8_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-009-5702-2
Online ISBN: 978-94-009-5700-8
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