The Authorization for use of Military Force that Congress voted in last week cited two sections from the The War Powers Act of 1973:

"Consistent with section 8(a)(1) of the War Powers Resolution, the Congress declares that this section is intended to constitute specific statutory authorization within the meaning of section 5(b) of the War Powers Resolution."

Section 8(a)(1) of the War Powers Resolution:

"Authority to introduce United States Armed Forces into hostilities or into situations wherein involvement in hostilities is clearly indicated by the circumstances shall not be inferred (1) from any provision of law (whether or not in effect before the date of the enactment of this joint resolution), including any provision contained in any appropriation Act, unless such provision specifically authorizes the introduction of United States Armed Forces into hostilities or into such situations and stating that it is intended to constitute specific statutory authorization within the meaning of this joint resolution... "

Section 5(b) of the War Powers Resolution:

"Within sixty calendar days after a report is submitted or is required to be submitted pursuant to section 4(a)(1), whichever is earlier, the President shall terminate any use of Untied States Armed Forces with respect to which such report was submitted (or required to be submitted), unless the Congress (1) has declared war or has enacted a specific authorization for such use of United States Armed Forces, (2) has extended by law such sixty-day period, or (3) is physically unable to meet as a result of an armed attack upon the United States. Such sixty-day period shall be extended for not more than an additional thirty days if the President determines and certifies to the Congress in writing that unavoidable military necessity respecting the safety of United States Armed Forces requires the continued use of such armed forces in the course of bringing about a prompt removal of such forces. "

I'm not sure what exactly this all means yet, but these citings seemed relevant.