What was found
ON FLIGHT 3639 THE CREW REPORTED THEY RECEIVED A R PITOT CAUTION MESSAGE. THE CREW COMPLIED WITH AOM VOL 1 PROCEDURES AND DESCENDED OUT OF RSVM AIRSPACE. THE CREW DECLARED AN EMERGENCY AND LANDED WITHOUT INCIDENT. THE AIRCRAFT WAS REMOVED FROM SERVICE. TROUBLESHOT RIGHT R PITOT HEAD. REMOVED AND REPLACED RIGHT (#2) PITOT HEAD IAW CRJ-AMM 34-11-01. THE OPERATIONAL CHECKS WERE GOOD IAW 34-11-00. AIRCRAFT RVSM ELIGIBLE. PERFORMED OPS CHECK OF TCAS SYS IAW AMM 34-43-00. OPS TEST GOOD. REMOVED ADSHC NR 1 AND SWAPPED WITH ADSHC NR 2 FOR T/S PURPOSES. AFTER SWAP, TEST OF RIGHT PITOT HEAT SYS CONTINUE TO FAIL. RE-INSTALLED BOTH ADSHC'S BACK TO ORIG S/N POSITIONS. THE AIRCRAFT WAS RETURNED TO SERVICE.