PLT OF A GOV FGT ACFT CAUSED AN ACR MLG ACFT TO TAKE EVASIVE ACTION IN RESPONDING TO A TCASII RA.

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I FILED A VFR FLT PLAN FROM VANDENBERG AFB TO EDWARDS AFB WITH A FILED CRUISING ALT OF 17500 FT MSL. DURING TAXI I REQUESTED AN UNRESTRICTED (AFTER BURNER) CLB FROM TKOF TO 12000 FT MSL. I PLANNED TO THEN FINISH THE CLB TO 17500 FT MSL IN MIL PWR. UPON SWITCHING TO TWR I REQUESTED TKOF CLRNC AND CONFIRMATION FOR APPROVAL OF THE UNRESTRICTED CLB AS WELL AS CONFIRMATION THAT VANDENBERG DEP CTL SHOWED NO POTENTIAL TFC CONFLICTS FOR MY CLB. THE UNRESTRICTED CLB WAS APPROVED AND TWR RPTED THAT DEP CTL HAD ONLY 1 TARGET 10 MI N. I THEN EXECUTED MY TKOF ON RWY 30. UPON REACHING 12000 FT MSL I DESELECTED AFTER BURNER; RPTED PASSING 12000 FT TO TWR; SWITCHED TO DEP CTL AND NOTED MY POS OVER THE DEP END OF RWY 30 WELL WITHIN R- 2516. I THEN EXECUTED A TURN FROM A 300 DEG HDG TO APPROX 085 DEGS; CONTINUED MY CLB AND LEVELED OFF AT 17500 FT MSL. AFTER LEVEL OFF I NOTICED AN AIRLINER AT MY 1 O'CLOCK POS; ESTIMATED 1 1/2 MI; AND 2000 FT BELOW; EITHER LEVEL OR DSNDING. IN ANY CASE I FELT THERE WAS NO NEAR MIDAIR HAZARD. THE AIRLINER TARGET WAS NOT CALLED TO ME BY VANDENBERG DEP WITH WHOM I WAS RECEIVING VFR TA'S. I DID HEAR 1/2 OF A CONVERSATION BTWN VANDENBERG DEP AND AN UNIDENTIFIED AIRPLANE IN WHICH VANDENBERG REPLIED THAT 'IT WAS AN ACFT CLBING VFR; AND I'VE GOT HIM' OR WORDS TO THAT EFFECT. ON MAR/XX/93 I WAS NOTIFIED BY VANDENBERG OPS THAT THE FO OF FLT XXX; A MR. X; HAD RESPONDED TO A TCASII ALERT ADVISING AN IMMEDIATE DSCNT. MR. Y (PLT AT THE CTLS) RPTED THAT HE DSNDED TO 15500 FT MSL AND HAD SPOTTED A WHITE FIGHTER ACFT (ALLEGEDLY MY ACFT) ABOVE HIM WITH A MISS DISTANCE OF 1/2 MI. MR. Y TOLD THE THIRD PARTY (FROM WHOM I HEARD HIS STORY) THAT HE WAS GOING TO FILE A RPT THROUGH THE AIRLINES SAFETY OFFICE. HE ALSO RPTED AT THAT TIME HE WAS TALKING WITH LOS ANGELES CTR SO BOTH ACFT WERE ON SEPARATE FREQS. HAVING REVIEWED MY FLT I FEEL THAT I COMMITTED NO INFRACTION OF THE RULES. THE MAJOR CAUSAL FACTOR FOR THE FLT'S CONCERN IN MY ESTIMATION WAS LACK OF TFC INFO DUE TO THE ACFT BEING CTLED BY SEPARATE AGENCIES IN CLOSE PROX TO EACH OTHER. AGAIN; I FELT I HAD SPOTTED THE AIRLINER IN SUFFICIENT TIME AND BASED ON ITS POS; HDG; AND ALT THERE WAS NO DANGER AND NO REQUIREMENT FOR EVASIVE ACTION ON MY PART.