According to this Wikipedia article (which is the best info I could find) the War Powers Resolution of 1973
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The War Powers Resolution requires the president to notify Congress within 48 hours of committing armed forces to military action and forbids armed forces from remaining for more than 60 days, with a further 30 day withdrawal period, without an authorization of the use of military force or a declaration of war. The resolution was passed by two-thirds of Congress, overriding a presidential veto.
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It seems that Obama has 60 to 90 days to get his forces out of the action. This is probably one of the reasons he doesn't want the US to lead this conflict. This was enacted because of the Korean and Viet Nam extended wars without an actual declaration of war.
http://en.wikipedia.org/wiki/War_Powers_Resolution