Abstract : he 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.
https://hal-insu.archives-ouvertes.fr/insu-00271517
Contributor : Pascale Talour <>
Submitted on : Wednesday, April 9, 2008 - 12:09:44 PM Last modification on : Friday, September 25, 2020 - 3:13:49 AM
Frédéric Chambat, Bernard Valette. Earth gravity up to second order in topography and density. Physics of the Earth and Planetary Interiors, Elsevier, 2005, 151 (1-2), pp.89-106. ⟨10.1016/j.pepi.2005.01.002⟩. ⟨insu-00271517⟩