Gravity degree–depth relationship using point mass spherical harmonics
نویسندگان
چکیده
SUMMARY Relationships between the degree of a spherical harmonic model gravitational field body and depth source expressed as density contrast can be used to study structure features. Here, we show that acceleration per constant has an extremum depends on source. Using harmonics expansion for point mass source, use this derive degree–depth relationship. Our relationship resembles earlier one derived by Bowin, with substantial differences at lower degrees. We also find recent Deng et al. overestimates depth. The relates n d planet radius R according $d = (1-e^{\frac{-1}{n+1}})R$, which simplifies R/(n + 1) high support our new synthetic models in planet. how Bowin affect band-filtered gravity, example when inspecting upper 100 km Moon. masses modelling results approximate where reality sources deeper than estimated, since any contributes all contribution individual however provides intuitive place relative bounds depths or determine expansions band-filtering gravity models.
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2023
ISSN: ['1365-246X', '0956-540X']
DOI: https://doi.org/10.1093/gji/ggad036