The purpose of the thesis is to evaluate and validate Navigation and Guidance algorithms to perform autonomous In-Orbit Servicing (IOS) Space missions, a wide range of challenging new solutions for satellite operators. These missions address a large variety of useful applications based on Rendezvous and Proximity Operations (RPOs) technique, such as refuelling, life-extension, inspection, in-orbit assembly and active space debris removal. Particularly, the focus of this work is on position control and path planning during rendezvous and berthing operations, in which a Chaser satellite actively follows another satellite, the Target, and then joints with it using a robotic arm. In order to perform such manoeuvres, these algorithms must be robust and "flyable", which means that they should be able to effectively operate even with a system slightly different from the one expected and should have a low computational cost.