Gravity anomalies of arbitrary 3D polyhedral bodies with horizontal and vertical mass contrasts

Z Ren, C Chen, K Pan, T Kalscheuer, H Maurer… - Surveys in …, 2017 - Springer
During the last 15 years, more attention has been paid to derive analytic formulae for the
gravitational potential and field of polyhedral mass bodies with complicated polynomial …

Gravity anomaly of polyhedral bodies having a polynomial density contrast

MG D'Urso, S Trotta - Surveys in Geophysics, 2017 - Springer
We analytically evaluate the gravity anomaly associated with a polyhedral body having an
arbitrary geometrical shape and a polynomial density contrast in both the horizontal and …

Optimized formulas for the gravitational field of a tesseroid

T Grombein, K Seitz, B Heck - Journal of Geodesy, 2013 - Springer
Various tasks in geodesy, geophysics, and related geosciences require precise information
on the impact of mass distributions on gravity field-related quantities, such as the …

Fast 3‐D large‐scale gravity and magnetic modeling using unstructured grids and an adaptive multilevel fast multipole method

Z Ren, J Tang, T Kalscheuer… - Journal of Geophysical …, 2017 - Wiley Online Library
A novel fast and accurate algorithm is developed for large‐scale 3‐D gravity and magnetic
modeling problems. An unstructured grid discretization is used to approximate sources with …

Analytical computation of gravity effects for polyhedral bodies

MG D'Urso - Journal of Geodesy, 2014 - Springer
On the basis of recent analytical results we derive new formulas for computing the gravity
effects of polyhedral bodies which are expressed solely as function of the coordinates of the …

Gravity anomalies of arbitrary 3D polyhedral bodies with horizontal and vertical mass contrasts up to cubic order

Z Ren, Y Zhong, C Chen, J Tang, K Pan - Geophysics, 2018 - library.seg.org
ABSTRACT A new singularity-free analytical formula has been developed for the gravity
field of arbitrary 3D polyhedral mass bodies with horizontally and vertically varying density …

SRTM2gravity: an ultrahigh resolution global model of gravimetric terrain corrections

C Hirt, M Yang, M Kuhn, B Bucha… - Geophysical …, 2019 - Wiley Online Library
We present a new global model of spherical gravimetric terrain corrections that take into
account the gravitational attraction of Earth's global topographic masses at 3 ″(~ 90 m) …

Mascon gravitation model using a shaped polyhedral source

TGG Chanut, S Aljbaae… - Monthly Notices of the …, 2015 - academic.oup.com
In the last two decades, new computational tools have been developed in order to aid space
missions to orbit around irregular small bodies. One of the techniques consists in rebuilding …

Efficient modelling of gravity effects due to topographic masses using the Gauss–FFT method

L Wu - Geophysical Supplements to the Monthly Notices of the …, 2016 - academic.oup.com
We present efficient Fourier-domain algorithms for modelling gravity effects due to
topographic masses. The well-known Parker's formula originally based on the standard fast …

Gravity effects of polyhedral bodies with linearly varying density

MG D'Urso - Celestial Mechanics and Dynamical Astronomy, 2014 - Springer
We extend a recent approach for computing the gravity effects of polyhedral bodies with
uniform density by the case of bodies with linearly varying density and by consistently taking …