(a) Subject to subsection (b) of this section, though not specifically mentioned in this title, all disorders and neglects to the prejudice of good order and discipline in the State military forces and all conduct of a nature to bring discredit on the State military forces, and crimes both federal and State and offenses not capital, shall be taken cognizance of by a court-martial and punished at the discretion of a military court.

(b) Where a crime constitutes an offense that violates both this title and the criminal laws of the state where the offense occurs or criminal laws of the United States, jurisdiction of the military court must be determined in accordance with § 13A-102 of this title.