Estimating the weight of very heavy objects with a gravity gradiometer

We propose and study a new technique for estimating the weight of very heavy objects. This new technique is based on measurements made by a device, a gravity gradiometer, that is capable of measuring subtle changes in the gravitational field produced by an object with respect to distance. The physical observables, known as gravity gradients, depends upon the mass density distribution of an object and the relative distance between the object and the measurement device. We show that, for very heavy objects, gravity gradient measurements can be used to make accurate weight estimates. This technology could be potentially important in the eventual implementation of arms control agreements or for application in the transportation industry.