DEALING WITH FLT MGMNT PROBS; A LEARJET CREW BECOMES DISTR AND MISSES A TURN ON THE ARR RESULTING IN A TFC CONFLICT.

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WE JOINED THE FERNANDO 5 ARR FOR LNDG AT BUR. UPON ARR AT FLW WE RECEIVED CLRNC TO DSND TO 11000 FT. APCHING FIM VOR WE RECEIVED FURTHER CLRNC TO CONTINUE DSCNT TO 9000 FT; AS WELL AS SEVERAL TA CALLOUTS BY ATC. CONDITIONS WERE VMC; NO HAZE. AT THAT SAME TIME; OUR FMS #1 FAILED; CAUSING THE FMS UNITS TO UN-SYNC. PF WAS HEADS UP LOOKING FOR TFC; WHILE PNF WAS TRYING TO RESET THE #2 FMS FOR ARR VIA ILS RWY 8. BY THAT TIME WE HAD RECEIVED FURTHER CLRNC TO CONTINUE OUR DSCNT TO 7000 FT. A FEW SECONDS LATER; ATC INSTRUCTED US TO STOP DSCNT AND TURN R TO A HDG OF 140 DEGS. APPARENTLY DURING THE PROCESS OF TFC; FMS AND DSCNT; WE MISSED BY A FEW SECONDS OUR TURN AFTER PASSING FIM VOR. NO TCASII TA OR RA WERE OBSERVED; BUT ATC HAD TFC OPPOSITE BOUND ON THAT PARTICULAR INSTANCE. PF HAD TFC IN SIGHT. PIC RECEIVED A REQUEST TO CALL ATC FACILITY UPON LNDG. ATC HAD BEEN NOTIFIED OF OUR FMS PROB; AS WELL AS TFC IN SIGHT VMC. THE COMBINATION OF AUTOMATION; ATTN DEVS DUE TO TFC WITH THE FIRST FMS FAILING KEPT US OFF TRACK FOR A BRIEF TIME. WE MUST NOT RELY TOTALLY ON FMS'S DOING EVERYTHING FOR US ALL THE TIME.