Plain English Meaning
A type of GPS-based approach that not every airplane and not every pilot is allowed to fly. The aircraft must have the right equipment, and the pilots must have special training and written approval from the FAA before using it.
Full Definition
SAAAR is a former FAA designation for certain RNAV (RNP) instrument approach procedures that require specific aircraft equipment capabilities and specific aircrew training, qualification, and authorization before they may be flown. SAAAR approaches typically involve precise curved (radius-to-fix) flight paths, narrow containment requirements, and operations into -challenged airports where would not be feasible. The SAAAR label has since been replaced by AR (Authorization Required), but and references using SAAAR may still be encountered.