FORT BRAGG, N.C., Sept. 17  From his position about 100 yards away, Master Sgt. Troy Anderson had a clear shot at the Afghan man standing outside a residential compound in a village near the Pakistan border last October. When Capt. Dave Staffel, the Special Forces officer in charge, gave the order to shoot, Sergeant Anderson fired a bullet into the man’s head, killing him.

In June, Captain Staffel and Sergeant Anderson were charged with premeditated murder. On Tuesday, in a rare public examination of the rules that govern the actions of Special Operations troops in Afghanistan, a military hearing will convene at Fort Bragg to weigh the evidence against the two men, both Green Berets.

The case revolves around differing interpretations of the kind of force that the Special Forces team that hunted and killed the man, Nawab Buntangyar, were allowed to use once they found him, apparently unarmed.

To the Special Forces soldiers and their 12-man detachment, the shooting, near the village of Ster Kalay, was a textbook example of a classified mission completed in accordance with the American rules of engagement. They said those rules allowed the killing of Mr. Buntangyar, whom the American Special Operations Command here has called an “enemy combatant.”