Narrative:

We were operating msp to ZZZ and running behind at the gate, due to a full load of passenger and baggage. On takeoff, we noticed an uncommanded rotation just below V1 speed, and then at cruise, we initiated procedures for a bag audit upon arrival at ZZZ. We checked our load manifest, and discovered an arithmetic error in the first officer's center of gravity index calculation, which put us aft of the center of gravity envelope. We corrected the error for landing by moving 2 passenger forward, which put us within the center of gravity envelope for landing. Upon completion of the bag audit, we determined that our takeoff weight was well under the limitations. However, our index calculation still put us slightly aft of the envelope. This problem may have been avoided by simply checking and correcting the arithmetic on the index calculation, as I normally do. I may have neglected this xchk because of our being delayed and the extreme heat on the aircraft, which caused us to rush our engine start and pushback procedures.

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Original NASA ASRS Text

Title: FLT CREW OF LTT MISCALCULATED CTR OF GRAVITY LOCATION FOR TKOF AND EXPERIENCED UNCOMMANDED ROTATION PRIOR TO V1. DISCOVERED ERROR, REPOSITIONED PAX TO COMPENSATE AND CONTINUED TO DEST.

Narrative: WE WERE OPERATING MSP TO ZZZ AND RUNNING BEHIND AT THE GATE, DUE TO A FULL LOAD OF PAX AND BAGGAGE. ON TKOF, WE NOTICED AN UNCOMMANDED ROTATION JUST BELOW V1 SPD, AND THEN AT CRUISE, WE INITIATED PROCS FOR A BAG AUDIT UPON ARR AT ZZZ. WE CHKED OUR LOAD MANIFEST, AND DISCOVERED AN ARITHMETIC ERROR IN THE FO'S CTR OF GRAVITY INDEX CALCULATION, WHICH PUT US AFT OF THE CTR OF GRAVITY ENVELOPE. WE CORRECTED THE ERROR FOR LNDG BY MOVING 2 PAX FORWARD, WHICH PUT US WITHIN THE CTR OF GRAVITY ENVELOPE FOR LNDG. UPON COMPLETION OF THE BAG AUDIT, WE DETERMINED THAT OUR TKOF WT WAS WELL UNDER THE LIMITATIONS. HOWEVER, OUR INDEX CALCULATION STILL PUT US SLIGHTLY AFT OF THE ENVELOPE. THIS PROB MAY HAVE BEEN AVOIDED BY SIMPLY CHKING AND CORRECTING THE ARITHMETIC ON THE INDEX CALCULATION, AS I NORMALLY DO. I MAY HAVE NEGLECTED THIS XCHK BECAUSE OF OUR BEING DELAYED AND THE EXTREME HEAT ON THE ACFT, WHICH CAUSED US TO RUSH OUR ENG START AND PUSHBACK PROCS.

Data retrieved from NASA's ASRS site as of July 2007 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.