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We apply the new method based on null geodesics for detecting gravitationalmemory and find the bulk memory in Newman-Unti gauge around the boundary of theconformally compactified space time. We show how we use the newly foundconserved charges in the subleading orders of large-$r$ expansion of the BMScharges to define the gravitational memory at each order in the non-linearisedgravitational theory. We also find the gravitational shift in the $r$direction. It is shown that the longitudinal displacement at order $1/r$ is therelative radius change between two detectors derived by Strominger andZhiboedov.

Subleading non linear gravitational memory effect