The present invention provides a method of acquisition of satellite data by a mobile device including a radio navigation satellite system (RNSS) receiver. The method includes: the receiver receiving a signal transmitted by a plurality of satellites and corresponding to a sum of signals each transmitted by a satellite and each modulated by a spread spectrum signal characteristic of said satellite; the receiver generating a plurality of local duplicates each of which is the duplicate of a spread spectrum signal characteristic of a satellite; correcting the frequency of each of the local duplicates by compensating the Doppler effect of each of the satellites; summing the plurality of corrected duplicates; and determining the correlation function as a function of time between the sum of the plurality of corrected duplicates and the satellite data signal.