Today, the global navigation satellite systems, GPS used as global positioning systems, are based on a gravitational model and hence they are only operative when several relativistic effects are taken into account. The most important relativistic effects (to order 1/c²) are: the Doppler red shift of second order, due to the motion of the satellite (special relativity) and the Einstein gravitational blue shift effect of the satellite clock frequency (equivalence principle of general relativity). Both of these effects can be treated at a basic level, making for an appealing application of relativity to every life. This paper examines the significant effects that must be taken into account in the design and operation of systems GPS without resorting to the theory of special and general relativity, yielding the same results for these systems, where one of the effects can be treated with the time contraction approach proposed here and the other using the Newton's theory as an approximation of the General Relativity. This approach allow us to propose an outline of early prediction and detection on strong earthquake phenomena.