Hundreds of miles distant from the principal point of attraction in Virginia, the other great army of the Union, under Gen. Sherman, has also been performing similar feats--turning by well-directed marches, one after another, the intrenched positions of the enemy in the mountainous district of Georgia. Atlanta, the object of its toils, is a great centre of railroad communication, and when our armies obtain possession of it, the confederacy will experience another severing stroke, almost as severe as that which cleft it in twain by the capture of Vicksburg and the reopening of the Mississippi. By such strokes the pretentious imposture of a Southern nation must be broken into fragments, even should the armies supporting it remain for a time organized and defiant; for, under the appliances of modern civilization and commerce, the possession of a railroad or internal depot of trade is almost equivalent to the destruction of an army. The campaigns of 1863 produced great results, as well geographically as in the capture of men and munitions from the rebels. At the commencement of the year they held the Mississippi, they threatened Kentucky and the borders of the Ohio, they were able to draw supplies from Tennessee, Arkansas, and Texas. They were, moreover, arrogantly defiant toward the North, and boasted of their ability to march to its great commercial centres. At the close of the year they were driven to the confines of Georgia, they were separated from the trans-Mississippi region, their boasting had been brought to humility at Gettysburg. The objects to be accomplished in the great campaign of 1864 are to drive in upon each other the two armies which resist our progress in Virginia and Georgia, and to compress the rebellion into the Southern Atlantic States. This done, the existence of secession is practically at an end, though it may brag as loudly as ever and keep on foot its armies. For without Virginia, and without the connections of Atlanta, the existence of an independent government in the South is impossible: sufficient country would not remain to support so magnificent an affair. The loss of Virginia in fact would be the fatal blow to the rebellion; for, however South Carolina may exalt herself, and however the other States of the South may aspire, yet it is Virginia which gives tone and respectability to the Southern confederacy. It is for this, far more than because it is the rebel capital, that the capture of Richmond is desirable.