Earth gravity up to second order in topography and density

Details Earth gravity up to second order in topography and density Earth gravity up to second order in topography and density

Jul 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005pepi..151...89c&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 151, Issue 1-2, p. 89-106.

Physics

2

Scientific paper

The gravity potential of a planet is usually expanded up to first order only as a linear function of topography and lateral variations of density. In this article, we extend these expressions up to second order and we estimate the magnitude of the new non-linear terms. We find that they are not negligible when compared to observed values: tens of metres for height anomalies and tens of milligals for gravity anomalies. Therefore, second-order expressions should be taken into account when inverting global gravity data.

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