A set of bags for the separation of a composite liquid into at least two components in a centrifuge having a rotation axis, comprising: - a collection and separation bag having a median axis, a top and a bottom, wherein the top of the separation bag comprises two edges converging towards a tip located on the median axis; - a collection tube having a first end connected to the collection and separation bag; and - at least two satellite bags (2, 3, 15) connected to the top of the collection and separation bag; - a first flexible tube having: - a first end connected to a first satellite bag; - a valve section for engaging a first pinch valve of the centrifuge; - a second flexible tube having: - a first end connected to a second satellite bag; - a valve section for engaging a second pinch valve of the centrifuge; and - a third tube having: - a first end connected to the tip of the collection and separation bag; - a second end; - a three-way connector (16, 16a, 16b) having: an inlet channel connected to the second end of said third tube; a first outlet channel connected to a second end of the first tube, and a second outlet channel connected to a second end of the second tube, characterised in that the first outlet channel and the second outlet channel are perpendicularly connected to the inlet channel and are offset along the inlet channel so that the first outlet channel is further than the second outlet channel from the end of the inlet channel that is connected to the third tube. - a collection and separation bag having a median axis, a top and a bottom, wherein the top of the separation bag comprises two edges converging towards a tip located on the median axis; - a collection tube having a first end connected to the collection and separation bag; and - at least two satellite bags (2, 3, 15) connected to the top of the collection and separation bag; - a first flexible tube having: - a first end connected to a first satellite bag; - a valve section for engaging a first pinch valve of the centrifuge; - a first end connected to a first satellite bag; - a valve section for engaging a first pinch valve of the centrifuge; - a second flexible tube having: - a first end connected to a second satellite bag; - a valve section for engaging a second pinch valve of the centrifuge; and - a first end connected to a second satellite bag; - a valve section for engaging a second pinch valve of the centrifuge; and - a third tube having: - a first end connected to the tip of the collection and separation bag; - a second end; - a first end connected to the tip of the collection and separation bag; - a second end; - a three-way connector (16, 16a, 16b) having: an inlet channel connected to the second end of said third tube; a first outlet channel connected to a second end of the first tube, and a second outlet channel connected to a second end of the second tube, characterised in that the first outlet channel and the second outlet channel are perpendicularly connected to the inlet channel and are offset along the inlet channel so that the first outlet channel is further than the second outlet channel from the end of the inlet channel that is connected to the third tube. an inlet channel connected to the second end of said third tube; a first outlet channel connected to a second end of the first tube, and a second outlet channel connected to a second end of the second tube, characterised in that the first outlet channel and the second outlet channel are perpendicularly connected to the inlet channel and are offset along the inlet channel so that the first outlet channel is further than the second outlet channel from the end of the inlet channel that is connected to the third tube.