ACR OVERFLIES VOR BY 8 MI BEFORE TURNING FOR RADIAL INTERCEPT.

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WE WERE TRACKING INBOUND TO THE ARDMORE VOR ON THE 170 DEG RADIAL AND OUR FLT PLAN HAD US TURN L TO INTERCEPT THE ARDMORE 300 DEG RADIAL. WE HAD LEVELED OFF AND I WAS ABOUT TO MAKE A PA TO OUR PAX WHEN I NOTICED WE HAD JUST PASSED OVER THE TOP OF ARDMORE. I BEGAN THE TURN TO INTERCEPT THE 300 DEG RADIAL. I HAD 10 DEGS OF BANK SELECTED ON OUR FLT GUIDANCE SYS AND REALIZED THAT MORE TURN (BANK) WAS NEEDED SO I SELECTED 15 DEG. AS I CONTINUED THE TURN I REALIZED WE HAD OVERSHOT THE 300 DEG RADIAL BY I GUESS 8 MI; SO I CONTINUED TO TURN L TO APPROX 270 DEGS TO REINTERCEPT THE 300 DEG RADIAL. IT TOOK SEVERAL MINS TO ESTABLISH OURSELVES ON THE 300 DEG RADIAL DURING WHICH TIME ATC MADE A COMMENT 'GOOD THING I DIDN'T HAVE ANY TFC OUT THERE.' I HAD NOT BEEN AWARE OF THE WIND; BUT SUSPECT THERE WAS SOME WIND OUT OF THE WSW THAT DIDN'T HELP OUT OUR SITUATION. THERE WAS NO CONFLICT AND NO FURTHER MENTION BY ATC OF THIS OCCURRENCE. NEXT TIME I'LL USE MORE BANK OR START THE TURN A MI OR SO BEFORE REACHING THE VOR ESPECIALLY FOR A 50 DEG CHANGE IN HDG INSTEAD OF WAITING UNTIL OVER OR JUST PAST THE VOR AS IN THIS CASE.