Washington, August 17.—[Special.]—The second and final fight for the possession of Chattanooga opened on Sunday, September 20. We have seen how through the preceding day, in the white heat of battle, the Union lines had established themselves on the field of Chickamauga, and that at nightfall they were still between Bragg and the city for which they were fighting.

It was a cool and beautiful morning, though heavy fog hung over the lower parts of the field, greatly impeding the preparations of each commander. For an hour or two after daylight there were few indications of the terrific scenes which were to be crowded into that Sabbath day.

Both sides had improved the night to rectify and strengthen the alignment. Bragg had received important re-enforcements. General Longstreet arrived in the night and was placed in command of the left wing. Polk was assigned to the right wing. With Longstreet came the bulk of his two divisions from Virginia, Hood and McLaws. Three brigades only of the former had taken part with Hood in the first day's fight. Gist's brigade of Walker's corps also arrived from Meridian. The Army of the Tennessee, with all the warnings and requests of Rosecrans to the authorities at Washington, had done nothing to prevent a general exodus of rebel forces from Mississippi. Even a portion of Pemberton's paroled men came, and two brigades, relieved by paroled prisoners, were in time for the first day's battle. Bragg readjusted his lines during the night. The most important change was to bring Breckinridge from his extreme left, east of the Chickamauga, to the extreme right. Cleburne and Cheatham were both moved close to Breckinridge. Forrest, with two divisions, one to fight on foot, was placed still to the right of Breckinridge, to observe the Lafayette road. With this heavy force, strengthened on its extreme left with Stewart, he intended to attack the Union left at daylight.

Rosecrans, on the other hand, had no re-enforcements with which to relieve or help his lines, and most of his army had marched a night and fought a day without rest and with little food, and every available man had been engaged. Burnside had been for weeks where he could easily have formed a junction. In fact, slowly as he had moved, his infantry had reached Kingston about the time Rosecrans had finished concentrating his army. It was the duty and the business of Halleck and others at Washington to have had it on the field for the first day's battle.

It was grim business for this contracted line of Union heroes to face the eleven divisions of infantry and two of cavalry, one of the latter fighting as infantry, which Bragg had before them. Their only advantage was in their shorter lines and the fact that it was necessary for Bragg to attack, while for the most part they could remain on the defensive. They were besides in excellent spirits and confident of their powers.

A glance at the map will show the rearrangement of the Union line. Beginning on the left, which covered Bragg's objective—namely, the control of the Lafayette road to Chattanooga—Baird, Johnson, Palmer, and Reynolds were withdrawn slightly from the ground on which they had fought the day before, and placed in strong position in the edge of the woods which skirted the Kelly farm. Brannan remained near the position to which he had been called to support Reynolds the night before. The divisions of Negley, Wood, Davis, and Sheridan and the brigade of Wilder had all been drawn back of the Lafayette road, their lines being slightly advanced from the road, leading from Crawfish Springs to the Lafayette road at Kelly's farm.

The order of the Confederate line, from its right to a point in front of Brannan's has already been stated. Here Stewart, of Buckner's corps, formed the right of Longstreet, who commanded the left wing, and, counting toward the enemy's left, the succeeding divisions were Bushrod Johnson, with Law and Kershaw in reserve, Hindman and Preston Buckner's corps was present with this wing by the courtesy of Burnside and the Washington authorities, while the latter alone were responsible for the inaction at the East which allowed Longstreet's corps to be present. By the same courtesy Walker's division from Mississippi was present with Hill's corps, and was to fight again, splendidly but unsuccessfully, on Bragg's right, as it had all the day before.

Under cover the fog in the shelter of the woods, and in the painful quiet of that Sabbath morning, the two armies had brought their lines face to face. At 9 o'clock there was scarcely any point the length of a tiger's spring between them.