General Relativity disbands the Newtonian concept of absolute space, which gobally determines the inertial properties of matter without being dynamically back-reacted upon. Rather, according to Einstein's equations, local inertial systems are dynamically determined by the gravitational field which itself couples to the distributions and currents of energy and momentum of matter. A fundamental consequence of this fact is the so-called "gravitomagnetic field", which in case of our Earth has just been measured in isolation by the Gravity-Probe-B experiment (currently being analyzed). In my talk I will try to convey the essential conceptual ideas as well as some interesting facts concerning the experiments.