Quant Library · Sports physics · Tennis
Bounce and Court Pace
What each surface keeps and gives back, from friction and restitution.
The impulse model of a bouncing ball with spin, including the transition from sliding to rolling, and the ITF court pace rating that follows from it.
Inputs
3What it takes
| Name | Type | Units | Where it comes from |
|---|---|---|---|
| incoming velocity | (vx, vy) | m/s | your flight solver or a radar |
| spin | float | rpm | - |
| surface | string or (mu, e) | - | the catalogue, or your own measurements |
Outputs
4What it gives back
| Name | Type | Units | Notes |
|---|---|---|---|
| outgoing velocity and spin | floats | m/s, rpm | |
| speed_kept | float | fraction | |
| regime | string | - | slid or rolled |
| cpr | float | - | the ITF court pace rating |
Method
How it works
- Assume the vertical impulse returns e times the incoming vertical speed.
- 3 further steps in the licensed specification
Assumptions
- A rigid court, a thin-shelled ball, and a contact short enough to treat as an impulse.
Limits
- Clay moves under the ball and grass is worn by the second week; μ and e are surface averages, not a given court on a given day.
In the package
- The full specification: inputs, method, assumptions and limits
- The validation panel as measured on the day of purchase
- A reference implementation extracted from the running source
- Perpetual commercial use for one entity
Reference modules:
- 1 module(s), named in the licensed specification and shipped in the package
Read this before you buy. The platform's own walk-forward tests say the closing line forecasts football better than these models do. What they give you is a coherent price for every market and match, before the market opens, with the band and the working attached. Any model here that has been beaten by something simpler says so in its limits, and the validation panel above is generated from the platform's result files rather than typed in.