Georgia Code Title 9. Civil Practice § 9-14-22

(a) Appeals in habeas corpus cases shall be governed, in all respects where applicable, by the laws in reference to appeals in other cases regarding the practice in the lower courts and in the Supreme Court relating to the time and manner of signing, filing, serving, transmitting, and hearing.

(b) It shall be the duty of the Supreme Court to give a speedy hearing and determination in habeas corpus cases either under existing rules or under special rules to be formulated by the court for such purpose.

(c) If the judgment of the court below is affirmed by the Supreme Court, the clerk of the Supreme Court shall promptly transmit the remittitur to the clerk of the court from which the appeal was taken. Upon the receipt of the remittitur, the clerk shall notify the judge of the court who shall have full power to pass an order, sentence, or judgment necessary to carry into execution the judgment of the court.