Space Situational Awareness (SSA) has become a key issue both for defense and civilian/industrial applications. Identification of potential or active threats and monitoring of key assets and operations are at stake. But it also includes follow up of dedicated satellites (such as telecommunication, observation), traffic handling, debris identification and tracking. Radar imaging is not enough for detailed characterization and identification of satellites, even for low earth orbits, and optical imaging can provide a powerful and complementary tool. We present current works performed at Onera on adaptive optics for Low Earth Orbit (LEO) satellite imaging. We briefly present our system and focus on the specific developments made to tackle the particular issue of fast moving targets observed through the atmosphere. We also discuss image post-processing in this particular framework, where turbulence conditions and correction strongly evolve along the observation, leading to a badly known point spread function (PSF). We have developed a robust and efficient post-processing method based on recent works for both astronomical and biomedical observations. We discuss further possible improvements.