ZFW CTLR EXPRESSED FRUSTRATION WITH POTENTIAL TFC CONFLICT RECEIVED FROM 10 AND PERCEPTION DIFFERENCES BTWN ARTCC AND APCH CTLRS.

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BY LOA BTWN DFW TRACON AND ZFW; ACFT ON THE SAME RADIAL OF THE SID SHALL BE ASSIGNED SPDS WHEN LESS THAN 8 MI IN TRAIL. ACFT #1 WAS AN E SATELLITE ARPT DEP GOING TO OHIO. ACFT #2 WAS FROM ANOTHER SATELLITE ARPT GOING TO LITTLE ROCK; AR. DFW DEP CTL REQUESTED THAT ACFT #1 AND #2 BE GIVEN DIFFERENT DEP RADIALS OF THE DAL 7. THIS WOULD RESULT IN APCH CTL NOT HAVING TO SEQUENCE THE ACFT AND ASSIGN SPDS ON THE SAME RADIAL. I REQUESTED THAT THE ACFT BE LEFT ON THE RADIAL THAT MADE UP THE LITTLE ROCK TRANSITION AND PUT IN TRAIL WITH SPD. ACFT #1 CHKED ON FREQ CLBING TO 17000 FT AND I CLRED THE ACFT TO FL230. ACFT #2 CHKED ON FREQ CLBING TO 17000 FT WITH A SPD RESTR OF 250 KTS. ACFT #2 WAS HIGHER THAN ACFT #1; BUT ACFT #1 HAD ALREADY BEEN CLRED TO FL230. ACFT #2 WAS OVERTAKING ACFT #1. (ACFT SHOULD HAVE HAD SPDS ASSIGNED PER THE LOA; BUT I DO NOT KNOW IF ACFT #1 HAD A SPD ASSIGNED.) I INSTRUCTED ACFT #1 TO INCREASE RATE OF CLB THROUGH FL190 TO OBTAIN VERT SEPARATION FROM ACFT #2. BASED ON PERFORMANCE CHARACTERISTICS OF THE ACFT; I BELIEVED VERT SEPARATION COULD BE OBTAINED BEFORE LONGITUDINAL SEPARATION WAS LOST. THE ACFT HAD LESS THAN 5 MI SEPARATION BEFORE 1000 FT VERT SEPARATION WAS OBTAINED. THE SIT OCCURRED; I BELIEVE; BECAUSE OF THE DIFFERENCES IN PERCEPTION BTWN APCH CTL AND ENRTE CTR CTL. TO THE APCH; CTLR'S WORLD ENDS 30 MI FROM THE ARPT AT 17000 FT. THE CTR CTLR SEES AN ACFT GOING TO OHIO AND ANOTHER GOING TO LITTLE ROCK AND IS LOOKING 150-250 MI INTO THE FUTURE. THE APCH CTLR SEES A 95 DEG TURN FOR 30 MI AND THE 7 MI IN TRAIL AS HIS 2 OPTIONS. THE CTR CTLR SEES ONE ACFT GOING 1000 FT AND ANOTHER GOING 200 MI AND SEES VERT AS THE BEST OPTION. 7 MI OF SEPARATION IS TWICE WHAT THE APCH CTLR NEEDS FOR SEPARATION. 7 MI WITH AN OVERTAKE ON 2 ACFT GOING THE SAME ALT IS A CRITICAL SIT TO AN ENRTE CTLR NEEDING A 5 MI MINIMUM. 2 WORLDS -- 2 PERSPECTIVES -- THIS IS THE REASON FOR LOA'S.