Extension of Lissajous Evaluation Method to Various Circling Performances on a Pommel Horse

Abstract

The performances on a pommel horse were analyzed for the data acquired with a motion capture system to develop a performance evaluation method. In previous papers, we presented the Lissajous diagram for a double-leg circle on a pommel horse, taking the circling motion of tiptoe on a nearly horizontal plane and the rolling motion of a body around a longitudinal axis. The Lissajous analysis showed how the circling and rolling motions were in phase with each other and evaluated how good the performance is by comparing the performance with a simple mathematical model. In the present investigation, we aimed at the extension of the Lissajous analysis to other different techniques of the pommel horse performance, including travelling and body-turning double leg-circles, and a scissors performance. Simple mathematical models for these techniques have been derived as reference motions. It is shown that the Lissajous analysis can be extended to evaluate most of the techniques on a pommel horse by comparing with the model reference motions.