65 lines
1.7 KiB
Markdown
65 lines
1.7 KiB
Markdown
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# Ball Trajectory Calculations
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- `V` is initial ball velocity
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- `h` is the launch angle
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- `g` is gravity
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## Flight Time
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```
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t=(2*V*sin(h))/g
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```
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## Max Height
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```
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z=((V^2)*sin^2(h))/2g
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```
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## Total Distance
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```
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d=((V^2)*sin(2h))/g
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```
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# Terminology
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## Angle of Attack (AoA)
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The up or down movement of the club as it impacts the ball and the angle is
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relative to the ground. Drivers should have a positive AoA as you hit up on
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them, irons are negative as you hit down on them. This is basically the
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positioning of the player forward and backward on the ball. The following chart
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uses values from -10 to 10 degrees.
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[Chart](https://southamptongolfclub.com/wp-content/uploads/Ping-Launch-Angle.jpg)
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## Dynamic Loft
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The vertical angle of the club face at the center-point of contact between the
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club and ball at the time of maximum compression. Dynamic Loft is the amount of
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loft on the club face at impact and is measured relative to the horizon. It's
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the degree/angle of the club face.
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## Launch Angle
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The ball's launch angle is **85% dynamic loft** + **15% angle of attack**.
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```
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A(L)=(.85)*A(l) + (.15)*A(a)
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```
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- `A(L)` is the launch angle
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- `A(l)` is the dynamic loft angle
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- `A(a)` is the angle of attack
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## Swing Speed
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The speed of the golf club, generally measured in mph.
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## Ball Speed
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The speed of the ball immediately after impact from a golf club, generally
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measured in mph. Calculation:
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```
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Vb = Vo * cos(t)
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```
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- Vb = Velocity of the ball
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- Vo = Velocity of the swing
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- t = Launch Angle
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# Course Measurements
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As it stands, with the example/trial course I made if **1 pixel equals 1 yard**
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then the hole is 512 yards, which would be an appropriately sized par-5. This
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seems proper.
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