What was found
ADC FAILURE, RTFL. CREW REPORTS SHORTLY AFTER ROTATION AND GEAR RETRACTION, APPEARED TO HAVE A RT AIR DATA SYS FAIL. F/O'S AIRSPEED IND, AND ALTIMETER WOUND UP, GOT FALSE AIRSPEED WARNINGS, RUDDER RATIO, TCAS, AND NUMEROUS OTHER AIR DATA DEPENDENT SYS FAILURES. SHORTLY AFTER THIS OCCURRED, ALL RETURNED TO NORMAL. APPROX 15 MINS LATER, RT AIR DATA FAILED AGAIN. WHEN SWITCHED TO ALT AIR DATA SOURCE, ALL OPS ARE NORMAL. REPLACED RT ADC. PERFORMED PITOT AND STATIC TEST IAW MM. ALL INDICATIONS IN FLT DECK ARE NORMAL WITH NO FLAGS.