The appellate review of records of trial provided by this chapter, the proceedings, findings, and sentences of courts-martial as approved, reviewed, or affirmed as required by this chapter, and all dismissals and discharges carried into execution under sentences by courts-martial following approval, review, or affirmation as required by this chapter, are final and conclusive. Orders publishing the proceedings of courts-martial and all action taken pursuant to those proceedings are binding upon all departments, courts, agencies, and officers of the United States, subject only to action upon a petition for a new trial as provided in section 873 of this title (article 73) and to action by the Secretary concerned as provided in section 874 of this title (article 74) and the authority of the President.