MKE CTLR DESCRIBED OPDEV WHEN FAILING TO ISSUE NEEDED TURNS TO A DEP ACFT THAT ENTERED ADJACENT AIRSPACE WITHOUT COORD.

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I WAS WORKING THE FINAL AT MKE AND THE ARR AND DEP SECTORS. TFC BEGAN TO INCREASE AND SEVERAL ACFT CALLED FOR MULTIPLE PRACTICE APCHS AT ONE OF MY SATELLITE ARPTS. THE MAJORITY OF THE TFC I WAS WORKING WAS ALL TRANSITIONAL; EITHER CLBING OR DSNDING THROUGH OTHER TFC. ADDITIONALLY; THERE WERE SEVERAL ACFT PERFORMING PARACHUTE ACTIVITIES THAT REQUIRED ACFT TO BE VECTORED AROUND THEIR AIRSPACE. THE FINAL FOR MKE WAS XFERRED TO AN ADJACENT SECTOR THAT HAD LESS TFC DUE TO MY OTHER 2 SECTORS WORKLOAD. THE C750 DEPARTED MKE FOR SUS AND WAS VECTORED TO A 230 DEG HDG TO MISS PARACHUTE TFC AT C89 ARPT. AS THE ACFT WAS CLR OF CONFLICTS I CLBED IT TO 13000 FT. THE DEP RTE OF THIS C750 IS THROUGH A 5 MI WIDE CLB CORRIDOR WHICH IS NEAR THE CORNER WHERE 5 FACILITIES AIRSPACE COMES TOGETHER AND 2 DIFFERENT CTR SECTORS. AS THE ACFT CLBED THROUGH 10000 FT IT BEGAN TO INCREASE SPD. AS I RECALL AT THE TIME I SHOULD HAVE TURNED THE C750 INTO ITS CLB CORRIDOR I WAS DISTR BY AN ACFT THAT I HAD ALREADY HANDED OFF TO A DIFFERENT SECTOR AND WAS ABOUT TO XFER ITS COMS. THE PLT INFORMED ME THE CEILING LOOKED LOWER AHEAD AND THEY WOULD SOON NEED AN ALT CHANGE FROM 6500 FT TO A LOWER LEVEL. THE OTHER SECTOR HAD JUST HANDED OFF A DIFFERENT ACFT HEAD ON AT 5500 FT THAT I WAS NOT SPEAKING TO YET. AS I TOLD THE OTHER CTLR ABOUT THE PLT'S NEED FOR LOWER SOON FOR 6500 FT AND POINTED OUT THE CONFLICT PREVENTING AN IMMEDIATE ALT CHANGE THE C750 FLEW PAST THE CORRIDOR I WAS SUPPOSED TO TURN THEM S INTO. THE C750 LEVELED AT 13000 FT AND CONTINUED TO ACCELERATE. THE CTR SECTOR THAT HAD TAKEN THE HDOF ON THE C750 CALLED ME ON THE VOICE LAND LINE. WHEN I HEARD THEM CALL I SAW THE C750 WAS PAST THE CLB CORRIDOR AND FLYING TOWARDS THEIR ADJACENT SECTORS AIRSPACE WHERE MY ARRS COME. I TURNED THE ACFT BACK TOWARD THE CLB CORRIDOR AND THEN SPOKE TO THE CTR CTLR. THE CTR CTLR APPROVED THE C750 GOING DIRECT OBK TO GET THEM FURTHER BACK INTO THE PROPER CLB BOX. I THEN CALLED THE ADJACENT CTR SECTOR TO POINT OUT THE C750 BECAUSE ITS TURN WAS ENCROACHING ON THEIR AIRSPACE. THE ADJACENT SECTOR ALREADY KNEW ABOUT THE ACFT WHEN I CALLED AND APPROVED THE POINTOUT. I ALLOWED MYSELF TO BECOME DISTR AND OVER FOCUS ON THE CONFLICTS THAT I HAD. TFC WAS SUBSIDING WHEN THE C750 WAS CLBING OUT AND IT HAD NO CONFLICTING TFC. THIS CAUSED ME TO NOT KEEP ENOUGH ATTN ON THE C750 AND ITS NEED TO TURN AT THE PRECISE TIME TO HIT ITS CLB CORRIDOR. WITH ALL THE TFC I WAS WORKING IN THE 2 SECTORS AND THE COMPLEXITY OF THE PARACHUTE; MULTIPLE APCH; AND CLBING AND DSNDING OPPOSITE TFC I SHOULD HAVE ASKED FOR THE SECTORS TO BE SPLIT. UNFORTUNATELY; THERE WERE NO CTLRS ON STAFF TO SPLIT THE SECTORS APART. I BELIEVE THE LETDOWN ONE GETS AS THE ADRENALINE RUSH FADES ALSO CONTRIBUTED TO MY INSUFFICIENT FOCUS ON WHEN TO TURN THE C750 TO ITS CLB CORRIDOR.