ACR FLC TPA TO MONTEGO BAY GETS DISORIENTED WHILE TRACKING OUTBOUND FROM THE CKK NDB AND DIVERGES FROM COURSE; A509.

Narrative

ENRTE FROM TAMPA TO MONTEGO BAY; JAMAICA; WE WERE CLRED VIA THE COOK (CKK) BEACON; THE A509. AFTER PASSING THE CKK BEACON WE SHOULD HAVE TRACKED OUT ON THE 149 DEG BEARING FROM CKK TO STAY ON THE CTRLINE OF A509. AFTER PASSING CKK I HELD A HDG OF ABOUT 140 DEG TO COMPENSATE FOR WINDS ALOFT. THIS WAS A MISTAKE; AS THE WINDS ALOFT WERE FROM THE SW. THE CORRECT HDG TO CORRECT FOR THE WIND SHOULD HAVE BEEN ABOUT 160 DEG. AFTER ABOUT 3 OR 4 MINS MIAMI CTR ASKED US IF WE WERE CORRECTING BACK TO THE CTRLINE OF THE AIRWAY. NEITHER THE FO OR MYSELF NOTICED THE MISTAKE; AND WE INFORMED MIA THAT WE WERE CORRECTING. AT THIS TIME I TURNED AN ADDITIONAL 30 DEG TO THE L TO GET BACK ON THE AIRWAY. THIS OF COURSE WAS STILL THE WRONG WAY; AND JUST TOOK US FURTHER OFF THE AIRWAY. MIAMI CTR CALLED WITHIN A MIN OR TWO AND ASSIGNED A HDG OF 170 DEG TO INTERCEPT THE AIRWAY. AS SOON AS MIAMI CALLED; I REALIZED MY MISTAKE. I HAVE NO EXPLANATION FOR NOT REALIZING MY ERROR EARLIER; AND AM STILL SHOCKED THAT I COULDN'T IMMEDIATELY VISUALIZE MY CORRECT POS IN RELATION TO THE NDB. BOTH THE FO AND MYSELF ARE EXPERIENCED IN OUR CURRENT POS; AND ALSO IN INTL OPS. THE ONLY THING DIFFERENT ABOUT THIS INCIDENT WAS THE USE OF LOW FREQ BEACONS FOR NAV. SUPPLEMENTAL INFO FROM ACN 211859. I WAS BUSY CALCULATING AN URSUS (CUBAN ADIZ) ESTIMATE AND CONTACTING HAVANA CTR WHEN MIAMI CTR CALLED TO ASK IF WE WERE CORRECTING BACK TO THE AIRWAY. BELIEVING THAT WE WERE I ANSWERED THAT WE WERE. MY ONLY EXPLANATION IS WAS THAT I HAD BECOME TOO ENGROSSED IN CALCULATING POS RPTS TO BACK UP THE CAPT ON NDB NAV.