The Frontier forums have word of a server-side fix that will roll out today for Elite: Dangerous intended to help the users still unable to log in to the space combat game following some recent technical issues (thanks Massively). Here's word:

Rest assured that players that cannot login are our top priority right now. We have a server side fix in-place to go live tomorrow, it's just undergoing some final testing tonight and tomorrow morning before making its way to the live servers. This should fix it for everyone that's not already been fixed by customer services already. We just want to ensure that the fix is correct and safe so we don't cause more issues for players that are currently unaffected - but we're working on it as quickly and safely as possible, promise!