A portable information handling system pivots a hinge rotational axis as the hinge rotates housing portions between open and closed positions to manage a gap between the housing portions. For example, the hinge couples a base at a perimeter of one housing portion, the base having a many body that slides on sliding members of the base and that supports a bracket extending inward to couple to another housing portion. A bracket gear engages with a pinion gear included in the main body to translate bracket rotation through the pinion gear to a rack integrated in the base, thereby sliding the main body relative to the base as the housing portions rotate so that the distance between the housing portions adjusts with rotational orientation.