An aerobraking orbital transfer vehicle, which comprises an aerobraking shield having a raked-off circular-cone configuration with a forwardly extending nose, an elliptically shaped base having a major diameter in a pitch direction and a minor diameter in a yaw direction, and a frustrum geometry which, in combination with said major diameter of said elliptically shaped base in a pitch direction, provides a base flow clearance angle greater than the base flow turning angle of said shield to avoid reattachment of the air stream to the vehicle and resultant undesirable heat transfer from the air stream to the vehicle.