Orbital systems supplies orbital/spin riveting machines where the tool rotates at a fixed angle. The rivet material undergoes a gentle deformation due to the orbital action, which results in faultless riveting with practically no alteration of the metal structure. The entire operation is noiseless and uses low cost toolings. The micromatic stroke adjustment enables quick set-up. Stepless adjustment of the riveting force, time and stroke. The machine can be used for a variety of applications.