I have made a headpiece with petty sizeable antlers (65cm in spread), but when i move they wobble from side to side. The headband iade is very secure on the head (i padded it with foams and also use a chinstrap). But the antlers themselves move all over the place.

Is there any way to fix this?

(The antlers are made from expanding foam and coated in paper mache, with a wire skeleton, which i have glued and taped to the base. they weigh 300 grams. The base itself is made from millinary wire) Above is a crude visualisation.