A HAWKER 800 INVADES THE P-56 PROHIBITED AREA ON INITIAL CLB OUT OF DCA; DC.

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THERE WERE SEVERAL FACTORS THAT CONTRIBUTED TO THE DEV INTO P-56 AIRSPACE. FIRST NEITHER THE CAPT; OR MYSELF WERE FAMILIAR WITH THIS ARPT. SECOND; WE WERE UNCLR ON THE DEP PROC; AND WERE ABOUT TO REVIEW OUR CHARTS SPECIFICALLY (10-4C) WHEN OUR PAX ARRIVED EARLY. THE RESULT WAS WE FELT RUSHED; AND DEPARTED FROM RWY 36 UNSURE OF THE DEP PROC. A REMINDER FROM ATC WOULD ELIMINATE THIS PROB; EXAMPLE: CLR FOR TKOF; TURN L IMMEDIATELY HDG 330 DEGS TO FOLLOW THE RIVER. THIS AIRSPACE IS VIOLATED ABOUT 60 TIMES PER YR SO IT IS CLR TO ME THAT SOME CHANGES NEED TO BE MADE. SUPPLEMENTAL INFO FROM ACN 439427: AFTER SWITCHING RADIO FREQS FROM TWR TO DEP; I COULD SEE THE WASHINGTON MONUMENT AND THE WHITE HOUSE. I IMMEDIATELY STARTED A L TURN. AT THAT SAME MOMENT; MY FO HAD JUST CHKED IN WITH DEP CTL AND THE CTLR ADVISED US TO MAKE AN IMMEDIATE L TURN. I BELIEVE PART OF THE REASON FOR THIS OCCURRENCE WAS MY UNFAMILIARITY WITH THE DEP PROC. THIS WAS THE FIRST TIME I HAD OPERATED AN ACFT OUT OF DCA. I FAILED TO PROPERLY REVIEW ALL OF THE AVAILABLE CHARTS; INCLUDING THE P-56 AVOIDANCE PROC. INSTEAD I ASKED MY COPLT TO READ ME THE DEP CLRNC AND CHK THE DEP PROC. HE ADVISED ME THAT OUR PDC WAS 'CLRED AS FILED; EXPECT RADAR VECTORS TO THE FIRST FIX;' ETC. TO ME; THIS MEANT FLY THE RWY HEADING FOR A VECTOR. I THINK THAT WE COULD HAVE TAKEN MORE TIME TO REVIEW THE DEP CHARTS AVAILABLE TO US. I THINK THAT 'RADAR VECTORS TO THE FIRST FIX' IS SOMEWHAT VAGUE.