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billiards physics

JavaScript 2.62% TypeScript 97.38%

billiards's Introduction

billiards

Unsophisticated billiards spinning ball physics.

Demo

In browser WebGL demo. Inspect physics using diagrams

Reference

Papers on ball mechanics, cushions and max spin simulation 1 2 3

3D graphics uses three.js

Inline LaTeX editor

Key equations

surface velocity

sliding motion

rolling motion

where

,

cushion bounce

$\dot{v}_{x} = -v_{x0}(\frac{2}{7}sin^2\theta_{a} + (1+e)cos^2\theta_{a})-R\omega_{y0}sin\theta_{a}$

$\dot{v}_{y} = \frac{2}{7}v_{y0}+\frac{2}{7}R(\omega_{x0}sin\theta_{a} - \omega_{z0}cos\theta_{a}) - v_{y0}$

$\dot{\omega_x} = \frac{5S_y_0}{2mRA}sin\theta_a$

$\dot{\omega_y} = \frac{5}{2mR}\Big(\frac{-S_x_0}{A} + sin\theta_a \frac{C_0}{B}(1+e)(cos\theta_a-sin\theta_a)\Big)$

$\dot{\omega_z} = \frac{5S_y_0}{2mRA}cos\theta_a$

Setup

nvm use v14.15.1
yarn install
yarn dev

Test

yarn test
yarn coverage
yarn serve

Maintain

yarn deps
yarn upgrade -L
yarn prettify

Two player

yarn websocket
yarn serve

add query parameter to url ?websocketserver=wss://host

Features

Backspin and sidespin well modeled. Presentation in 2d or 3d in any modern browser. Record and playback breaks. Two player mode with node websocket server.

Controls

Use mouse or keyboard:

⇦ ⇨ Aim

Control ⇦ ⇨ Fine aim

⇧ ⇩ Topspin and backspin

Shift ⇦ ⇨ Side spin

Space Hit - hold for more power

Progress snapshots

July 2018

July 2019

March 2021

Star History

billiards's People

Contributors

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