A bearing system for a gas turbine engine comprises: an outer housing comprising a forward end and an aft end; a first ball bearing assembly disposed radially inward from the outer housing relative a center axis of the outer housing, wherein the first ball bearing assembly comprises: a first outer race disposed radially inward from the outer housing; a first inner race disposed radially inward from the first outer race; and a first plurality of ball bearing elements disposed between the first outer race and the first inner race; a second ball bearing assembly disposed radially inward from the outer housing and positioned axially aft of the first ball bearing assembly, wherein the second ball bearing assembly comprises: a second outer race disposed radially inward from the outer housing; a second inner race disposed radially inward from the second outer race; a second plurality of ball bearing elements disposed between the second outer race and the second inner race; and a resilient member connected to the outer housing, wherein the resilient member is compressed against at least one of the first outer race and the second outer race in an axial direction parallel to the center axis, wherein the resilient member comprises: a flange that extends radially relative to the center axis; a body that extends axially parallel to the center axis; and a curved bow disposed radially inward from the flange and the body and connecting the flange to the body characterized by further comprising: a bearing support cage comprising a forward end, an aft end, and a plurality of circumferentially spaced beams extending between the forward end and the aft end of the bearing support cage, wherein the aft end of the bearing support cage is connected to the forward end of the outer housing. an outer housing comprising a forward end and an aft end; a first ball bearing assembly disposed radially inward from the outer housing relative a center axis of the outer housing, wherein the first ball bearing assembly comprises: a first outer race disposed radially inward from the outer housing; a first inner race disposed radially inward from the first outer race; and a first plurality of ball bearing elements disposed between the first outer race and the first inner race; a first outer race disposed radially inward from the outer housing; a first inner race disposed radially inward from the first outer race; and a first plurality of ball bearing elements disposed between the first outer race and the first inner race; a second ball bearing assembly disposed radially inward from the outer housing and positioned axially aft of the first ball bearing assembly, wherein the second ball bearing assembly comprises: a second outer race disposed radially inward from the outer housing; a second inner race disposed radially inward from the second outer race; a second plurality of ball bearing elements disposed between the second outer race and the second inner race; and a second outer race disposed radially inward from the outer housing; a second inner race disposed radially inward from the second outer race; a second plurality of ball bearing elements disposed between the second outer race and the second inner race; and a resilient member connected to the outer housing, wherein the resilient member is compressed against at least one of the first outer race and the second outer race in an axial direction parallel to the center axis, wherein the resilient member comprises: a flange that extends radially relative to the center axis; a body that extends axially parallel to the center axis; and a curved bow disposed radially inward from the flange and the body and connecting the flange to the body characterized by further comprising: a bearing support cage comprising a forward end, an aft end, and a plurality of circumferentially spaced beams extending between the forward end and the aft end of the bearing support cage, wherein the aft end of the bearing support cage is connected to the forward end of the outer housing. a flange that extends radially relative to the center axis; a body that extends axially parallel to the center axis; and a curved bow disposed radially inward from the flange and the body and connecting the flange to the body