HDG TRACK POS DEV WHEN FLC BEHAVIOR FATIGUE ALLOWS AERONAUTICAL CHART PRESENTATION MISINTERP.

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WE WERE CLRED FROM N OF ALBANY VOR TO ISLIP; NY; VIA DIRECT ALBANY V130 NORWICH VOR V308 BOROS INTXN DIRECT CALVERTON VOR DIRECT ISLIP. WE WERE NAVING V130 FROM ALB TO BDL. ATC BEGAN INQUIRING AS TO OUR POS; ALT AND CLRNC. HE THEN CLRED US DIRECT TO NORWICH (ORW). APPARENTLY; BOTH CREW MEMBERS HAD MISTAKENLY TRACKED THE 204 DEG RADIAL OUTBOUND FROM BRADLEY (BDL) VOR; THINKING THAT THEY WERE TRACKING V308 WHICH IS THE 204 DEG RADIAL OUTBOUND FROM NORWICH (ORW) VOR. THE SCHEDULE FOR THIS TRIP REQUIRED THAT THE CREW WAKE UP AT XA00 AM. I HAD BEEN UNABLE TO FALL ASLEEP UNTIL AFTER MIDNIGHT. THEREFORE; I WAS OPERATING ON LESS THAN 3 HRS SLEEP IN THE PRECEDING 48 HRS. THIS PARTICULAR TRIP WAS FAR PART 91. HOWEVER; MY EMPLOYER ALSO OPERATES IN ACCORDANCE WITH PART 135. THE COMPANY GIVES NO CONSIDERATION TO REST PROVIDED THE TRIP CAN BE SCHEDULED 'LEGALLY'. THE INCIDENT WAS A MATTER OF SIMPLE CHART MISINTERP. THE SIGNIFICANT CONTRIBUTING FACTOR WAS CREW FATIGUE. THE ONLY REMEDY TO THIS TYPE OF SITUATION WOULD BE REG REQUIRING REST PERIODS FOR PLTS WHO OPERATE UNDER PARTS 91 AND 135 REGARDLESS OF WHETHER A FLT IS 91 OR 135. ADDITIONAL CONSIDERATION SHOULD BE GIVEN TO REST AND DUTY CYCLES. THERE ARE SITUATIONS WHERE A CREW CAN BE 'LEGAL' WITH REGARD TO REQUIRED REST YET STILL FATIGUED BECAUSE PRIOR DUTY CYCLES HAD THEIR PHYSIOLOGICAL CLOCK OUT OF SEQUENCE. THEY MANY TIMES ARE PHYSICALLY UNABLE TO REST DURING AN ASSIGNED REST PERIOD.