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Title:

Divergence-free spherical harmonic gravity field modelling based on the Runge--Krarup theorem: a case study for the Moon

Document type:
Zeitschriftenaufsatz
Author(s):
Bucha, Blažej; Hirt, Christian; Kuhn, Michael
Abstract:
Recent numerical studies on external gravity field modelling show that external spherical harmonic series may diverge near or on planetary surfaces. This paper investigates an alternative solution that is still based on external spherical harmonic series, but capable of avoiding the divergence effect. The approach relies on the Runge--Krarup theorem and the iterative downward continuation. In theory, Runge--Krarup-type solutions are able to approximate the true potential within the entire space...     »
Journal title:
Journal of Geodesy
Year:
2019
Journal volume:
93
Month:
Apr
Journal issue:
4
Pages contribution:
489--513
Fulltext / DOI:
doi:10.1007/s00190-018-1177-4
WWW:
https://doi.org/10.1007/s00190-018-1177-4
Print-ISSN:
1432-1394
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