Virtual Line-Mass Harmonic Analysis Based on Satellite Gravity Gradients

Targeting at the new type data called gravity gradient, the basic formulae and equations of the global virtual line mass model and harmonic analysis are made in this paper. The virtual line mass models based on radius real component, horizontal complex component and full tensor are studied. So are the least squares solutions. The harmonic analysis formulae of virtual line mass models are shown completely, which have various advantages such as eliminating the disperse errors and dealing with multi-types data compared with virtual point mass harmonic analysis. With consideration of different depths, the virtual line mass method is better than the virtual point mass method with various frequencies. Finally, the availability and validity are made through simulation experiments.