NOVELTY - The drilling system has a rotatable casing shoe (32) that is provided with a distal end. An independent rotatable driveshaft (34) is positioned within the casing shoe, in which a drill bit (40) is arranged at a distal end and extends beyond the casing shoe distal end. A bearing housing (36) is interpositioned between the driveshaft and the casing shoe to control a distance between a centerline of the driveshaft and a centerline of the casing shoe, such that the centerlines of the driveshaft and the casing shoe are parallel and radially offset.    USE - Drilling system e.g. multiple string orbital drilling system for boring into ground for accessing oil or natural gas deposit, mining, construction, geothermal power system, geoexchange system, and obtaining information about underground formation.    ADVANTAGE - Since the bearing housing controls distance between centerlines of driveshaft and casing shoe in such a way that the centerlines are parallel and radially offset, higher rates of penetration and more economical drilling of small diameter holes with reduced operating costs and capital equipment costs, more effective fluid return, and improved control over the borehole shape and direction are achieved. By using climb milling, longer bit life, ease of fixturing, improved borehole surface finish, lower power requirements, and better chip evacuation are achieved. Since the systems simplify the job of the drillers by avoiding many problems such as bit balling and keyholing automatically, the man power required to accomplish the tasks is reduced. Since the drilling fluids are pumped into the borehole, the lubrication, stabilization of the formation drill string is achieved. Since the inner string includes a wide portion and the intermediate string includes a narrow portion, the inner string from dropping is prevented through the intermediate string. Hence the number of clamps needed for rod handling is also reduced.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is included for a method for boring into the ground.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic side cross-sectional view of a bottom hole assembly of the drilling system.    Bottom hole assembly (16)    Casing shoe (32)    Driveshaft (34)    Bearing housing (36)    Drill bit (40)