Narrative:

I was the captain leaving ZZZ for ZZZ1. The ship has an FMS that does not automatically update its position during takeoff roll. We were assigned runway xx for takeoff and the ABC2 departure. In ZZZ; all of the original runways have qa (quick alignment) points at the ends of the runways. The new runway does not. In order to realign the FMS in such a situation; I would have had to determine the latitude/longitude coordinates for the beginning of the runway by referencing the gridlines on the airport page in my airway manual. When we taxied out; we were late. By the time we got our takeoff clearance; we were nearly an hour behind schedule. As we taxied onto runway xx; I noted aloud that the runway alignment on the FMS was a little offset to the right. The first officer was the pilot flying and confirmed what I said as we transferred aircraft control. Knowing that we were getting initial vectors and not using LNAV right away; I elected to continue in lieu of further delaying the flight to taxi clear and realign the FMS. We were given an initial heading. Which is a 200 degree left turn from a runway heading. When we switched over to the departure controller; he cleared us to fly to the first fix on the ABC2 departure. It appeared to us to be straight ahead on the runway heading; so we discontinued the left turn and proceeded straight ahead. Shortly thereafter the controller told us to; 'turn left immediately to heading 180!' we had no indication of a TA/RA from our TCAS and never saw another aircraft near us. We complied with his instruction and then I asked for vectors and advised him that we were evidently having a problem with our RNAV. While we were heading south I noticed a couple of map shifts on our HSI display. When he turned us to the east; I saw that the subsequent fix on the departure was straight ahead. I advised the controller of that and said that if he concurred that that was correct; we could resume the departure from that point. He concurred and we proceeded directly and engaged LNAV for the rest of the departure. Later during the flight; a controller gave us a phone number to call in reference to a pilot deviation. On the ground in ZZZ1; I called. The controller answered and informed me a pilot deviation had been filed for 'failure to turn resulting in a loss of separation.'supplemental information from acn 790981: I put the autopilot on because I didn't think the heading looked correct and I wanted to take a closer look. At that time the ATC gave us a turn to 180 degree. The FMS will update position after takeoff but this one didn't do it fast. I have no quick align points to update the position before takeoff for runway 28. I need a published quick align point so that I can update my position before takeoff. Because of not having quick align points for that runway I counted on the FMS updating position after takeoff while on the initial heading. It didn't do it in time. I don't think we should be doing RNAV sids in aircraft that don't have GPS.

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Original NASA ASRS Text

Title: A B757-200; WITH AN FMS THAT DOES NOT AUTOMATICALLY UPDATE ITS POSITION; TURNED TO AN INCORRECT HDG AFTER TKOF ON AN RNAV DEP. A QUICK ALIGN WAS NOT COMPLETED BEFORE TKOF.

Narrative: I WAS THE CAPTAIN LEAVING ZZZ FOR ZZZ1. THE SHIP HAS AN FMS THAT DOES NOT AUTOMATICALLY UPDATE ITS POSITION DURING TAKEOFF ROLL. WE WERE ASSIGNED RUNWAY XX FOR TAKEOFF AND THE ABC2 DEPARTURE. IN ZZZ; ALL OF THE ORIGINAL RUNWAYS HAVE QA (QUICK ALIGNMENT) POINTS AT THE ENDS OF THE RUNWAYS. THE NEW RUNWAY DOES NOT. IN ORDER TO REALIGN THE FMS IN SUCH A SITUATION; I WOULD HAVE HAD TO DETERMINE THE LATITUDE/LONGITUDE COORDINATES FOR THE BEGINNING OF THE RUNWAY BY REFERENCING THE GRIDLINES ON THE ARPT PAGE IN MY AIRWAY MANUAL. WHEN WE TAXIED OUT; WE WERE LATE. BY THE TIME WE GOT OUR TAKEOFF CLEARANCE; WE WERE NEARLY AN HOUR BEHIND SCHEDULE. AS WE TAXIED ONTO RWY XX; I NOTED ALOUD THAT THE RUNWAY ALIGNMENT ON THE FMS WAS A LITTLE OFFSET TO THE RIGHT. THE FIRST OFFICER WAS THE PILOT FLYING AND CONFIRMED WHAT I SAID AS WE TRANSFERRED AIRCRAFT CONTROL. KNOWING THAT WE WERE GETTING INITIAL VECTORS AND NOT USING LNAV RIGHT AWAY; I ELECTED TO CONTINUE IN LIEU OF FURTHER DELAYING THE FLIGHT TO TAXI CLEAR AND REALIGN THE FMS. WE WERE GIVEN AN INITIAL HEADING. WHICH IS A 200 DEG LEFT TURN FROM A RUNWAY HEADING. WHEN WE SWITCHED OVER TO THE DEPARTURE CONTROLLER; HE CLEARED US TO FLY TO THE FIRST FIX ON THE ABC2 DEPARTURE. IT APPEARED TO US TO BE STRAIGHT AHEAD ON THE RUNWAY HEADING; SO WE DISCONTINUED THE LEFT TURN AND PROCEEDED STRAIGHT AHEAD. SHORTLY THEREAFTER THE CONTROLLER TOLD US TO; 'TURN LEFT IMMEDIATELY TO HEADING 180!' WE HAD NO INDICATION OF A TA/RA FROM OUR TCAS AND NEVER SAW ANOTHER AIRCRAFT NEAR US. WE COMPLIED WITH HIS INSTRUCTION AND THEN I ASKED FOR VECTORS AND ADVISED HIM THAT WE WERE EVIDENTLY HAVING A PROBLEM WITH OUR RNAV. WHILE WE WERE HEADING SOUTH I NOTICED A COUPLE OF MAP SHIFTS ON OUR HSI DISPLAY. WHEN HE TURNED US TO THE EAST; I SAW THAT THE SUBSEQUENT FIX ON THE DEPARTURE WAS STRAIGHT AHEAD. I ADVISED THE CONTROLLER OF THAT AND SAID THAT IF HE CONCURRED THAT THAT WAS CORRECT; WE COULD RESUME THE DEPARTURE FROM THAT POINT. HE CONCURRED AND WE PROCEEDED DIRECTLY AND ENGAGED LNAV FOR THE REST OF THE DEPARTURE. LATER DURING THE FLIGHT; A CONTROLLER GAVE US A PHONE NUMBER TO CALL IN REFERENCE TO A PILOT DEVIATION. ON THE GROUND IN ZZZ1; I CALLED. THE CTLR ANSWERED AND INFORMED ME A PILOT DEVIATION HAD BEEN FILED FOR 'FAILURE TO TURN RESULTING IN A LOSS OF SEPARATION.'SUPPLEMENTAL INFO FROM ACN 790981: I PUT THE AUTOPILOT ON BECAUSE I DIDN'T THINK THE HEADING LOOKED CORRECT AND I WANTED TO TAKE A CLOSER LOOK. AT THAT TIME THE ATC GAVE US A TURN TO 180 DEG. THE FMS WILL UPDATE POSITION AFTER TAKEOFF BUT THIS ONE DIDN'T DO IT FAST. I HAVE NO QUICK ALIGN POINTS TO UPDATE THE POSITION BEFORE TAKEOFF FOR RUNWAY 28. I NEED A PUBLISHED QUICK ALIGN POINT SO THAT I CAN UPDATE MY POSITION BEFORE TAKEOFF. BECAUSE OF NOT HAVING QUICK ALIGN POINTS FOR THAT RUNWAY I COUNTED ON THE FMS UPDATING POSITION AFTER TAKEOFF WHILE ON THE INITIAL HEADING. IT DIDN'T DO IT IN TIME. I DON'T THINK WE SHOULD BE DOING RNAV SIDS IN AIRCRAFT THAT DON'T HAVE GPS.

Data retrieved from NASA's ASRS site as of May 2009 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.