MIL X HAD NMAC WITH SMA Y IN ATA. SEE AND AVOID CONCEPT. EVASIVE ACTION TAKEN.

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MIL X VFR IN R TFC TO RWY 1 TO LAND. SMA Y VFR FROM S WAS ADVISED TO RPT 3 MI FINAL; STRAIGHT-IN TO RWY 1 TO LAND. MIL X ON A R BASE TO FINAL WAS CLRED TO LAND. SMA Y RPTED ON A 3 MI FINAL WAS GIVEN A LNDG SEQUENCE AS #2 TO FOLLOW MIL X ON A 1 1/2 MI FINAL AHEAD OF YOU. I DID NOT RECEIVE A REPLY FROM SMA Y TO MY SEQUENCE AND I IMMEDIATELY WENT BACK AND QUESTIONED SMA Y IF HE RECEIVED MY SEQUENCE? MIL X THEN RPTED A NEAR MISS WITH AN SMA HE BELIEVED. I ADVISED MIL X OF THE POS OF THE RPTING SMA Y BUT MIL X REPLIED; 'HE WASN'T THERE WHEN WE SAW HIM.' MIL X CONTINUED INBOUND AND LANDED; TAXIED TO THE TERMINAL RAMP AND CAME TO THE TWR; I DISCUSSED THE OCCURRENCE WITH THE FLC PLT. SMA Y HAD REQUESTED TO MAKE A 360 DEG TURN ON HIS OWN; PROCEEDED INBOUND AND LANDED; TAXIED TO HIS HANGAR LOCATION. MIL X FILED A 8020-21 ON JUN/XX/93; WITH LEESBURG FSS THAT INDICATES A R TURN EVASIVE ACTION WAS TAKEN. NO ACTION FILED BY MIL X PLT. AT THE TIME OF THIS OCCURRENCE; THE TWR WAS VERY BUSY INVOLVING A PARACHUTE JUMP OP AND SEVERAL VFR OVERFLT ACFT IN AND NEAR THE VICINITY OF THE PARACHUTE ACFT. THE TWR WAS ATTEMPTING TO CLR THE JUMP AREA 7.5 MI W OF THE ARPT PRIOR TO 'JUMPERS AWAY.' PERHAPS MORE 'PRO-ACTIVE ' CTL AND MORE 'POSITIVE' POS RPTING OF ALL ACFT WILL HELP IN PREVENTING A RECURRENCE.