State of the art and future developments in understanding wind accretion in X-ray binaries

Accretion onto compact objects of material from strong stellar winds, be it in High-Mass X-ray Binaries (HMXB) or Symbiotic X-ray Binaries (SyXB) is among the earliest mechanisms identified to power X-ray sources, but still surprisingly little understood in detail. Questions like the rule of the clumps forming in stellar winds, the role of feedback through ionization on the wind structure, the onset of possible, transient disk formation, the geometry of the material accreted close to the compact object and many other aspects are still being strongly debated. Getting a better handle on these questions is important to understand these binaries and their evolution as possible predecessors of compact binary merger systems. We will give an overview of the state of knowledge and open questions and indicate pathways for future simulation efforts as well as the discovery opportunities with current and future X-ray missions