I just looked it up, and they call it 'axle puller' but also synonymous with 'hub puller'. Should be called 'axle pusher' i suppose. Anyhow the significant thing is that i used it differently than normal; i got nowhere trying to screw in the center rod and would have probably stripped the threads, so i loosened the lug bolts about 1/4" all three, than snugged up the center rod and with a nut on the inside to double the threads holding, then tightened the three lugs a bit at a time each until 'pop' the axle snapped loose and shot inward. I could then turn the center rod by hand to keep the axle moving.

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2011 E70 • N55 (me)
2012 E70 • N63 (wife)