Advances in robotics and autonomous systems are changing the way space is explored in ever more fundamental ways. Both human and scientific exploration missions are impacted by these developments. Where human exploration is concerned, robots act as proxy explorers: deploying infrastructure for human arrival, assisting human crews during in-space operations, and managing assets left behind. As humans extend their reach into space, they will increasingly rely on robots enabled by artificial intelligence to handle many support functions and repetitive tasks, allowing crews to apply themselves to problems that call for human cognition and judgment. Where scientific exploration is concerned, robotic spacecraft will continue to go out into Earth orbit and the far reaches of deep space, venturing to remote and hostile worlds, and returning valuable samples and data for scientific analysis. The aim of FAIR-SPACE is to go beyond the-state-of-the-art in robotic sensing and perception, mobility and manipulation, on-board and on-ground autonomous capabilities, and human-robot interaction, to enable space robots to perform more complex tasks on long-duration missions with minimal dependence on ground crew. More intelligent and dexterous robots will be more self-sufficient, being able to detect and respond to anomalies on board autonomously and requiring far less teleoperation. The research will see novel technologies being developed for robotic platforms used in orbit or on planet surfaces, namely: future on-orbit robots tasked with repairing satellites, assembling large space telescopes, manufacturing in space, removal of space junk; and future surface robots, also known as planetary rovers, for surveying, observation, extraction of resources, and deploying infrastructure for human arrival and habitation; a further case study will target human-robot interoperability aboard the International Space Station. The research will merge the best available off-the-shelf hardware and software solutions with trail-blazing innovations and new standards and frameworks, aiming at the development of a constellation of space robotics prototypes and tools. This aims to accelerate the prototyping of autonomous systems in a scalable way, where the innovations and methodologies developed can be rapidly spun out for wide adoption in the space sector worldwide. FAIR-SPACE directly addresses two of the priorities in the Industrial Strategy Green Paper: robotics & artificial intelligence and satellite & space technologies. The clear commitment offered by the industrial partners demonstrates the need for establishing a national asset that will help translate academic outputs into innovative products/services. Our impact plan will ensure we can maximise co-working with user organisations, align our work with other programmes (e.g. InnovateUK) and effectively transfer our research outputs and technology to other sectors beyond space such as nuclear, deep mining and offshore energy. FAIR-SPACE will therefore not only help in wealth creation but also help develop a robotics UK community with a leading international profile.