skirmishing in which the armies stared at each other from their earthworks, the inconclusive battle ended when Grant ordered another wide movement to the southeast, in the direction of the crossroads at Cold Harbor. Background Grant's Overland Campaign was one of a series of simultaneous offensives the newly appointed general in chief launched against the Confederacy. By late May 1864, only two of these continued to advance: Maj. Gen. William T. Sherman's Atlanta Campaign and the Overland Campaign, in which Grant accompanied and directly supervised the Army of the Potomac and its commander, Maj. Gen. George G. Meade. Grant's campaign objective was not the Confederate capital of Richmond, but the destruction of Lee's army. President Abraham Lincoln had long advocated this strategy for his generals, recognizing that the city would certainly fall after the loss of its principal defensive army. Grant ordered Meade, "Wherever Lee goes, there you will go also." Although he hoped for a quick, decisive battle, Grant was prepared to fight a war of attrition. Both Union and Confederate casualties could be high, but the Union had greater resources to replace lost soldiers and equipment. On May 5, after Grant's army crossed the Rapidan River and entered the Wilderness of Spotsylvania, it was attacked by Lee's Army of Northern Virginia. Although Lee was outnumbered, about 60,000 to 100,000, his men fought fiercely and the dense foliage provided a terrain advantage. After two days of fighting and almost 29,000 casualties, the results were inconclusive and neither army was able to obtain an advantage. Lee had stopped Grant, but had not turned him back; Grant had not destroyed Lee's army. Under similar circumstances, previous Union commanders had chosen to withdraw behind the Rappahannock, but Grant instead ordered Meade to move around Lee's right flank and seize the important crossroads at Spotsylvania Court House to the southeast, hoping that by interposing his army between Lee and Richmond, he could lure the Confederates into another battle on a more favorable field. Elements of Lee's army beat the Union army to the critical crossroads of Spotsylvania Court House and began entrenching. Meade was dissatisfied with Maj. Gen. Philip Sheridan's Union cavalry's performance and released it from its reconnaissance and screening duties for the main body of the army to pursue and defeat the Confederate cavalry under Maj. Gen. J.E.B. Stuart. Sheridan's men mortally wounded Stuart in the tactically inconclusive Battle of Yellow