A FALCON 50 FLT CREW DSND BELOW DECISION ALT ON AN INST APCH WITHOUT THE RWY IN SIGHT.

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ON NOV/MON/03 (AT APPROX XA30) FALCON 50 DEPARTED ON A CHARTER FROM PBI TO JAX. THIS LEG WAS A REPOSITIONING FLT WITH JUST THE CAPT AND MYSELF (THE FO) AND A FLT ATTENDANT ON BOARD. DEPARTING PBI; WE NOTED THAT THE WX WAS MARGINAL FOR THE APCH INTO JAX. ONCE CLOSER TO THE ARPT; THE ATIS READ 100 FT BROKEN WITH 1/4 MI VISIBILITY. THE CAPT THEN STATED 'IT LOOKS LIKE WE ARE GOING TO HAVE TO FLY THIS ONE ALL THE WAY TO THE GND.' ONCE ESTABLISHED ON THE ILS TO RWY 7 (WHICH DECISION HT IS 200 FT AGL) JAX; THE AUTOPLT WAS DISCONNECTED AND THE APCH WAS HAND FLOWN. THE SUN WAS BEGINNING TO RISE AND SHINING IN OUR EYES AS WE DSNDED INTO THE FOG LAYER BELOW. I BEGAN TO CALL OUT '1000 FT TO GO; 500 FT TO GO; 300 FT; 200 FT; 100 FT; DECISION HT; RWY NOT IN SIGHT; GO AROUND.' THE AIRPLANE NEVER DEPARTED THE DSCNT PROFILE FOR A GAR. WE CONTINUED DOWN THE GS UNTIL THE RWY ENVIRONMENT WAS IN SIGHT PASSING 100 FT ABOVE TOUCHDOWN. THE AURAL ALERT SYS WAS FUNCTIONING AND IT ALSO CALLED OUT MINIMUMS. THE LNDG WAS SUCCESSFULLY COMPLETED AND WE TAXIED TO THE RAMP.