This thesis presents the preliminary design and a first approach of the performance analysis of a navigation system based on GPS and ORBCOMM constellations for cube-class nanosatellites. The aim is to work as a part of a mission design which objective is to test new technologies in space using cube-class nanosatellites. For this, Il Politecnico di Milano has a CubeSat for teaching purposes called Palamede. A CubeSat is a 10x10x10 cm cube shaped nanosatellite with a maximum weight of 1 kg. This work briefly reviews the CubeSat state of the art and concepts concerning position and orbit determination. Also, this is supported with appendices where there are the computation algorithms, tables with data, additional concepts and the Palamede overview. To begin with, the primary work to do is to find the best orbit in terms of visibility from both constellations with the initial requirements. Once the orbit is found, the second step is to determine the orbital period and identify possible repetitions of the accesses. To continue with it, the repeated access time bands are analyzed to determine which ones have time duration higher than 5 minutes (required for links). Additionally, from these time bands, is extracted from STK, in discrete time, all required data to compute the CubeSat position and analyze the quality of the position determination in terms of used GPS satellites for the computation. Finally, a pair of CubeSats that are separated 100 meters between them, flying in formation and in the same previous orbit, are analyzed with the same procedure. For this purpose, STK is used to simulate the cubesat orbits and constellations considering orbit perturbations with HPOP (High Precision Orbit Propagation). This propagator is used because the time simulation of one month and its reliability. For higher simulation time will be recommended to use LOP (Long-term Orbit Propagator) because computer performance in simulations. STK is very useful for simulation because its good-looking and friendly interface, like the 3D and 2D windows.