We present a PDE-based approach for finding optimal paths for the Reeds–Shepp car. In
our model we minimize a (data-driven) functional involving both curvature and length …

In this paper, we propose an inverse method for full gravity gradient tensor data in the
spherical coordinate system. As opposed to the traditional gravity inversion in the Cartesian …

The satellite gravity gradiometry (SGG) data can be used for local modelling of the Earth's
gravity field. In this study, the SGG data in the local north-oriented and orbital frames are …

Physical geodesy applies potential theory to study the Earth's gravitational field in space
outside and up to a few km inside the Earth's mass. Among various tools offered by this …

One of the main applications of the gravity field and steady-state Ocean Circulation Explorer
(GOCE) satellite data is their combination with local gravity anomalies for geoid and gravity …

Third-order gradients of the gravitational potential (gravitational curvatures) have already
found some applications in geosciences. Observability of these parameters, describing the …

Gravity gradients can be used to determine the local gravity field of the Earth. This paper
investigates downward continuation of all elements of the disturbing gravitational tensor at …

Subcrustal stress induced by mantle convection can be determined by the Earth's
gravitational potential. In this study, the spherical harmonic expansion of the simplified …

The spherical harmonic synthesis of second-order derivatives of geopotential is a task of
major concern when the spatial resolution of synthesis is high and/or a high-resolution …

Solution of the gradiometric boundary value problems leads to three integral formulas. If we
are satisfied with obtaining a smooth solution for the Earth's gravity field, we can use the …