# Wind-fed Accretion and White Dwarf stars

Can a White Dwarf star in a binary system accrete matter via the Wind-fed accretion process?

• There are various stages of a white dwarf star - and most of them are binary systems. It depends if the second star transfers mass to white dwarf - if it does it will most likely create a super nova. It depends upon the meaning of "wind-fed" accretion. – Cinaed Simson Apr 15 at 22:13

As a rough figure, you could argue that a white dwarf will accrete the material from within a Bondi-Hoyle radius $$R_a \simeq \frac{2GM_{\rm WD}}{v_r^2}\ ,$$ where $$v_r$$ is the velocity of the wind material with respect to the white dwarf (either the wind speed or the orbital speed, whichever is larger).
The rate of mass gained by the white dwarf is then $$\dot{M}_{\rm WD} \simeq \pi R_a^2 v_r\ ,$$ where $$\rho$$ is the density of wind material near the white dwarf, which in turn depends on the mass loss rate of the other star and the separation of the two stars.