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 …

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 …

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 …

The analytical computation of the full gravity tensor from a polyhedral source of
homogeneous density is presented, with emphasis on its algorithmic implementation. The …

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 …

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 …

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 …

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 …

Formulas for the gravity potential, field, and field gradient tensor are derived for a polyhedral
target body of a spatially linear density medium. The formulas also define the magnetic …

We show that the singularities which can affect the computation of the gravity effects
(potential, gravity and tensor gradient fields) can be systematically addressed by invoking …