RESEARCH NOTE: Empirical 3-D basis for the internal density of a planet

Details RESEARCH NOTE: Empirical 3-D basis for the internal density of a planet RESEARCH NOTE: Empirical 3-D basis for the internal density of a planet

Jul 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005geoji.162...32c&link_type=abstract

Geophysical Journal International, Volume 162, Issue 1, pp. 32-35.

Physics

1

Scientific paper

Various papers have discussed the forward relationships between internal density anomalies of a planet and its external gravity field. The inverse modelling, i.e. finding the internal density anomalies from the external potential is known to be highly non-unique. In this research note, we explain how a 3-D basis can be built to represent the internal density variations that includes a subset that explicitly spans the kernel of the forward gravity operator. This representation clarifies the origin of the non-uniqueness of the gravity sources and implies the existence of a natural minimal norm inverse for the internal density. We illustrate these ideas by comparing a tomographic model of the mantle to the minimal norm density.

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