A number of feasible terrestrial and space applications exist for a sensor capable of measuring gravity gradients from a stationary or moving base. These applications include: aerial, marine, and satellite gravimetry; navigation and guidance; mass detection for location of tunnels and for inspection and evaluation of containers, satellites, and on-site missiles; lunar and planetary potential measurements, and asteroid mass measurements. Several different gradiometer designs can be used for these applications and are briefly reviewed. (Author).