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 …

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 …

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 …

We present general closed-form solutions for the vertical gravitational anomaly caused by a
polyhedral prism with mass density contrast varying with depth. Our equations are the first …

Three-dimensional rectangular prisms are building blocks for calculating gravity anomalies
from irregular 3D mass bodies with spatially variable density contrasts. A 3D vector gravity …

We have developed a generalized solution for computing the gravity anomalies of 3D
irregular-mass bodies with complicated density-contrast variation. The 3D irregular-shaped …

An analytical solution is presented for the gravity anomaly produced by a 2D body whose
geometrical shape is arbitrary and where the density contrast is a polynomial function in …

Exact computation of the gravitational field and gravitational gradient tensor for a general
mass body is a core routine to model the density structure of the Earth. In this study, we …

The analytic solution of the gravity anomaly caused by a 2D irregular mass body with the
density contrast varying as a polynomial function in the horizontal and vertical directions is …

Line integrals (LIs) are an efficient tool in calculating the gravity anomaly caused by an
irregular 2D mass body because the 2D surface integral is reduced to a 1D LI. Historically …