Numerical solutions for the golf swing

Abstract

We are going to analyze mathematically the downswing of the golf swing using the double pendulum model and Lagrangian function. We will show existence for expressed as a system of a differential equations of the arm and the club.In order to obtain the clubhead speed, we calculate the angular speed of the arm the club by Runge-Kutta method. Using the calculated value of the clubhead speed, we can also obtain a projection angle of the maximum projectile range of the ball.