Jacketed projectile and method of manufacture

A method of assembling a small arms ammunition projectile made from a core and a jacket, the steps comprising:

• providing the core having a longitudinal core axis, a forward portion, a rear portion and a rear end, the rear portion having an edge, a first portion adjacent the edge, the first portion being frustoconical and the edge being steeper in angle than the frustoconical first portion, and the rear portion further having a second portion oppositely adjacent the first portion;
• providing the jacket having a longitudinal axis and a socket extending in a direction of the longitudinal axis to receive the rear portion of the core, the socket having a socket bottom, a first socket portion, the first socket portion being frustoconical, and the socket having a second socket portion adjacent the first socket portion, wherein the core and jacket are shaped such that when assembled together, the first portion of the core is seated in the first socket portion of the socket, and respective contact surfaces of the second portion of the core and the second jacket portion of the socket mate together with the longitudinal core axis of the core and longitudinal axis of the jacket being coaxial;
• moving the rear portion of the core into the socket leading with the edge and first portion of the core;
• and
• continuing to move the core and jacket together until the rear end of the core seats against the socket bottom of the jacket, and the first portion of the core seats into the first socket portion of the jacket, and the second portion of the core is engaged by the second socket portion of the jacket.