A DC9 PIC HAS TO PERFORM A 360 DEG TURN TO AVOID AN OVERTAKING CITATION JET WHILE ONLY 7 MI FROM LNDG RWY 5 AT CAK. HE LATER HAD TO GAR SINCE CITATION WAS STILL ON LNDG RWY. THE CITATION WAS OVERTAKING THE DC9 AND THE APCH CTLR SIMPLY HAD THE DC9 REDUCE TO 210 KTS AND CLRED BOTH ACFT FOR A VISUAL APCH.

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WHILE ON APCH TO CAK AT XA30; A CESSNA CITATION OVERTOOK US; CUT INSIDE OUR FLT PATH AND CAUSED ME TO TAKE EVASIVE ACTION. WE ALSO RECEIVED A TCASII CONFLICT ALERT. THE CESSNA CITATION WAS PARKED AT FBO HANGAR. CAK APCH CTL CLRED OUR FLT FOR A VISUAL APCH TO RWY 5 CAK. WE WERE SLOWING FROM 250 KTS TO 210 KTS AND STARTED TO CONFIGURE ACFT FOR LNDG. (CITATION MUST HAVE BEEN EXCEEDING 250 KTS BELOW 10000 FT.) CAK APCH CTL ADVISED A CITATION WAS OVERTAKING US; TO SLOW TO 210 KTS; WHICH WE WERE ALREADY DOING. WE WERE AT 6-8 MI NNW OF BRIGGS VOR. CAK VOR HAS BEEN OTS FOR OVER 1 WK AND NO ADF'S OR DME AVAILABLE ON CAK ARPT. ILS SERVES RWY 1 AND RWY 19; A SHORTER RWY THAN RWY 5/23. VASI WAS AVAILABLE ON RWY 5. CITATION APPEARED ON TCASII AT OUR 5 O'CLOCK POS +300 FT. WE WERE ALREADY LINED UP WITH RWY 5 FOR A STRAIGHT-IN APCH AT 6-8 MI SW OF CAK ARPT. I ASKED COPLT IF HE SAW HIM; REPLIED YES. I LOOKED OUT OF COPLT'S WINDOW AND SAW TFC DSNDING FOR LNDG AND CLOSING IN ON US. I TOOK IMMEDIATE EVASIVE ACTION AND TURNED R TO GO UNDER CITATION AND RPTED TO TWR WE HAD A TCASII ALERT AND WERE COMMENCING A 360 DEG MANEUVER. I TURNED R TO GO UNDER AND IMMEDIATELY BEHIND CITATION SO I COULD MAINTAIN VISUAL SEPARATION. A L TURN MAY HAVE CAUSED CONTACT BTWN ACFT'S CONVERGING PATH. I DID NOTICE TCASII READ +200 FT AT ONE TIME. IF I HADN'T DONE A 360 DEG TURN; WE WOULD HAVE HAD TO MAKE A GAR DUE TO CITATION STILL ON RWY AFTER OUR 360 DEG TURN ANYWAY. I BELIEVE CITATION PLT ACTED IN A GROSS AND NEGLIGENT MANNER ENDANGERING THE LIVES OF MY PAX AND HIS/HER ACFT AND PAX. I GUESS HE WAS TRYING TO RACE OR BEAT US TO THE ARPT. I ALSO BELIEVE THE APCH/TWR CTLR ON DUTY ACTED BLASE/LACKADAISICAL AND DID NOT CTL THE ACFT IN HIS AIRSPACE APPROPRIATELY. HE GAVE NO WARNINGS OF CONFLICT IMPENDING EITHER. MY FLT CLRLY HAD THE RIGHT-OF-WAY AND WAS PUT IN HARM'S WAY BY THE CTLR AND ESPECIALLY THE CITATION PLT. A ZOB CTLR; MR X (AFTER WE ARRIVED AT THE GATE); NOTICED THE OTHER ACFT AND ASKED WHAT HAPPENED. AFTER I EXPLAINED HE SAID HE WOULD CALL CAK TWR AND INQUIRE HOW THIS HAPPENED. A PAX GETTING OFF MY FLT ALSO NOTICED OTHER ACFT AND SAID I DID A GOOD JOB. PAX ALSO NOTICED 360 DEG TURN AND FELT ACFT DSND WHEN I PUSHED NOSE DOWN FOR EVASIVE MANEUVER; OUR ALT WENT FROM APPROX 3500 FT TO +/-3000 FT. NO ANNOUNCEMENT WAS MADE TO PAX.