Research and experimental design of Astrojax double balls trajectory based on double pendulum system

TL;DR

This paper models and experimentally validates the trajectory of Astrojax double balls using a double pendulum system, providing a practical approach for physics education and trajectory prediction.

Contribution

It establishes a trajectory model based on double pendulum dynamics and empirical formulas, validated through experiments, for educational and predictive purposes.

Findings

Calculated trajectories match measured data

Empirical formulas accurately predict trajectory changes

Simple equipment makes the experiment accessible

Abstract

Based on the double pendulum and Lagrange equation, the moving particles are captured by a binocular three-dimensional capture camera. Two trajectory models of Astrojax and the relationship between trajectory empirical formula and parameters are established. Through research, the calculated trajectory of this formula and related parameters fit well with the actual measured trajectory, and can accurately predict and change the trajectory of the model. The equipment and materials required in the experiment are simple and easy to obtain, and the experimental theme is relatively interesting and novel, which can be applied as an extended experiment in college physics experiment course, so that students can understand the motion characteristics of the double pendulum and learn physics from life. The designing experiment can not only improve students' interest in learning, but also broaden their knowledge and cultivate their practical ability.