Appeals from courts-martial may currently be made to the Courts of Criminal Appeals. There are a total of four such courts, one for each branch of the military: Army, Air Force, Navy, and Coast Guard. All four sit in Washington, D.C. They follow the same basic procedural rules, with perhaps some minor variations.
Title 10 of the United States Code Annotated (U.S.C.A.) (West)
Court Rules volumes of the United States Code Service (U.S.C.S.) (Lexis)
Title 10, Appendix of the United States Code (U.S.C.) (G.P.O.)