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    $\begingroup$ You're essentially describing a cataclysmic variable system, albeit one with low activity. You should probably be concerned about large outbursts. $\endgroup$
    – HDE 226868
    Commented Jun 6, 2017 at 13:47
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    $\begingroup$ The Roche Lobes of these two stars would be hugely smaller than that of their orbital seperation and as such shouldn't see major acretion. At that distance it should be occasional small ones. $\endgroup$
    – Adrienne
    Commented Jun 6, 2017 at 13:52
  • $\begingroup$ .5 solar masses is way too small for a white dwarf. Your numbers need some rework $\endgroup$
    – steverino
    Commented Jun 6, 2017 at 14:50
  • $\begingroup$ Adrienne - Ah, I see. Thank you. I was wrong about the separation. @steverino .5 solar masses is actually pretty normal for a white dwarf. $\endgroup$
    – HDE 226868
    Commented Jun 6, 2017 at 16:21