A Convergence Proof and Parameter Analysis of Central Force

This paper presents a convergence proof of CFO on the stability theory of discrete-time-linear system. It reveals the necessary convergent conditions of CFO. Stability condition limits the eigenvalues of motion equations inside the unit cycle in complex plane, and a corresponding convergence criterion was deduced related to the probes’ parameters. According to above criterion, a qualitative parameter analysis and a general strategy of selecting parameters of CFO is presented. Finally, a simple numerical experiment approved such strategy above completely.