FLC OF CL-65RJ HAS HDG SYS FAILURE DURING DEP FROM DFW.

Narrative

WHILE AT THE GATE; I PROGRAMMED THE FMS. WE HAD A HDG COMPARATOR WARNING; IE; THE PLT'S AND COPLT'S HDGS ARE NOT MATCHED UP. WE HAD MANUALLY MATCHED UP THE HDG INFO ON OUR EFIS TUBES. AS WE TAXIED TO RWY 17R; SHORT OF THE RWY; A HDG WARNING CAME ON AGAIN; SO AFTER WE LINED UP ON THE RWY WE AGAIN MANUALLY MATCHED UP THE HDGS. ON OUR FMS WE DO NOT HAVE GPS INFO; SO WE CAN PRESS A BUTTON 'RWY UPDATE' TO GIVE THE FMS A MORE ACCURATE STARTING POINT; AS OPPOSED TO THE GATE LOCATION; AND THEN TAXI 2 MI TO THE RWY. I WAS DISTR WITH GETTING THE HDGS LINED UP AND I DID NOT PRESS THE 'RWY UPDATE.' I HAD A VERY NEW; 100 HR IN TYPE; COPLT. WE WERE ON THE DALL 6 SID. SHORTLY AFTER TKOF; WE GOT ANOTHER HDG WARNING. WE SWITCHED TO A DEP CTLR. THE SID WAS: FLY 174 DEG HDG; SO WITH THE AUTOPLT IN HDG MODE; I WAS TRYING TO FLY WITH THE STANDBY MAGNETIC COMPASS. THE CTLR GAVE US A L TURN TO AN E HDG. FOR WHATEVER REASON THE AIRPLANE WAS ONLY DOING ABOUT 18 DEGS OF BANK AT 250 KIAS. THE CTLR TOLD US TO TIGHTEN THE TURN AND TURN FURTHER L TO 070 DEG HDG (I THINK). SO; NOW I TURNED OFF THE AUTOPLT AND DID A 30 DEG BANK WHILE FLYING ON THE STANDBY COMPASS. AT THIS TIME THE FMS GOT LOST AND GAVE US A 'CHK POS WARNING.' THE CTLR THEN TOLD US TO JOIN THE MAVERICK 084 DEG RADIAL. I ASKED THE COPLT TO SELECT VOR GREEN DATA ON HIS SIDE AND DIAL IN MAVERICK 084 DEG RADIAL. HE WAS LOST AT THIS TIME. SO I (WHILE HAND FLYING) DIALED IN 113.1 AND 084 DEG RADIAL. I TURNED THE AUTOPLT BACK ON. THE COPLT WAS STARTING TO CATCH UP. THE CTLR GAVE US DIRECT SOLDO INTXN. I GOT THE HDGS REALIGNED AND SHORTLY THEREAFTER REINITIALIZED THE FMS POS. THE ONLY THING I WOULD HAVE DONE DIFFERENTLY WOULD BE TO LET THE CTLR KNOW WE HAD A HDG AND FMS PROB. THE CTLR DID CONTACT OUR COMPANY AND WONDERED WHY RJ'S COULDN'T FOLLOW A NORMAL GND TRACK. WE ARE RESEARCHING TO SEE IF OTHER CREWS HAVE MULTIPLE HDG WARNINGS AT DFW LIKE WE HAVE AT LGA.