Forward Gravity Modelling to Augment High-Resolution Combined Gravity Field Models

Kilometer-resolution gravity field of Mars: MGM2011

We present a model that resolves the gravity field of Mars down to km-scales: Mars Gravity Model 2011 (MGM2011). MGM2011 uses Newtonian forward-modelling and the MOLA (Mars Orbiter Laser Altimeter) topography model to estimate the short-scale gravity field (scales of ~3 km to ~125 km). Combined with a reference gravity field and the satellitetracking model MRO110B2, MGM2011 provides surface gra...

Band - limited topographic mass distribution generates full - spectrum 4 gravity field – gravity forward modelling in the spectral and spatial

24 Most studies on gravity forward modelling in the spectral domain truncate the gravitational 25 potential spectra at a resolution commensurate with the input topographic mass model. This 26 implicitly assumes spectral consistency between topography and implied topographic potential. 27 Here we demonstrate that a band-limited topographic mass distribution generates gravity signals 28 with spec...

A Combined Entropy/Phase-Field Approach to Gravity

Terms related to gradients of scalar fields are introduced as scalar products into the formulation of entropy. A Lagrange density is then formulated by adding constraints based on known conservation laws. Applying the Lagrange formalism to the resulting Lagrange density leads to the Poisson equation of gravitation and also includes terms which are related to the curvature of space. The formalis...

Investigating High Field Gravity Using Astrophysical Techniques

Optimal, scalable forward models for computing gravity anomalies

We describe three approaches for computing a gravity signal from a density anomaly. The first approach consists of the classical “summation” technique, whilst the remaining two methods solve the Poisson problem for the gravitational potential using either a Finite Element (FE) discretization employing a multilevel preconditioner, or a Green’s function evaluated with the Fast Multipole Method (F...