An elliptically interfacing gear assisted braking system may include an input shaft with a coupled input gear, a wobble plate, a rotor with a reaction gear, and an actuated brake mechanism, or brake. The input shaft may define an axis of rotation and the wobble plate may have a wobble axis disposed at a non-zero angle relative to the rotation axis. A set of face teeth disposed on one surface of the wobble plate may partially mesh with the input gear, and a set of wobble teeth on an opposite surface of the wobble plate may partially mesh with the reaction gear. Rotation of the input shaft may thereby cause rotation of the wobble plate and rotor. The brake may mate with the rotor and when actuated, slow the rotor with respect to the input shaft. Rolling contact forces between the surfaces of the wobble teeth and reaction teeth may then induce nutation in the wobble plate, thereby dissipating rotational energy.