Technical Details

Dynamic of a Rolling Golf Ball
Paul Jordan
February 1, 2022

Contents

1 Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Kinetic Energy of a rolling Golf Ball . . . . . . . . . . . 2
1.2 Dissipation and Potential Energy . . . . . . . . . . . . 2
2 Equation of motion of a rolling ball . . . . . . . . . . . . .3
2.1 One-dimensional motion . . . . . . . . . . . . . . . . . . . .3
2.2 Rolling Ball on an Inclined Plane . . . . . . . . . . . . . 4
3 Input data for a put . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
3.1 Known values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .5
3.2 Parameters for the execution of the put . . . . . . . 5
4 Numerical solution of the equation of motion . . . .6
4.1 Calculation of the trajectory . . . . . . . . . . . . . . . . . 6
4.2 Calculation of the initial speed and angle . . . . . .7
5 Approximation by a Gaussian Process Model . . . 8

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