This document discusses using GNU Radio for space research applications. It describes hardware-defined versus software-defined radios and commercially available SDRs. GNU Radio is introduced as free and open-source software that can be used with an SDR to create signal processing applications through a graphical interface. Examples are given of using GNU Radio for ground-satellite applications like receiving weather satellite images. The document also describes a federated satellite systems approach and a prototype FSS negotiator using GNU Radio. An experimental MONSTER project is outlined that used GNU Radio on a Raspberry Pi to transmit and receive data between high-altitude balloons.