According to certain aspects, the invention includes using acquisition channel results from a number of satellites to achieve composite weak acquisition. According to certain other aspects, the invention also includes solving for an improved position estimate and, with a sufficiently accurate, either initial or improved position estimate, also solving for GPS system time using a composite of acquired signals from a plurality of satellites. Within commonly experienced initial position and time uncertainties, the geometric range changes are fairly linear, which allows the point of convergence of ranges to solve for GPS position and subsequently for time with reasonable accuracy, which is the equivalent to obtaining frame sync without any data demodulation or preamble matching.