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gravitational_attraction.html
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<!DOCTYPE html>
<html>
<head>
<script language="javascript" type="text/javascript" src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/1.1.9/p5.js"></script>
</head>
<body>
<script>
let balls = [];
let numBalls = 100;
let attractor;
let vel = 10;
function setup() {
createCanvas(800, 600);
for (let i = 0; i < numBalls; i++) {
balls[i] = new Ball(random(width), random(height), 3, random(-vel, vel), random(-vel, vel));
}
attractor = new Attractor(width / 2, height / 2, 100);
}
function draw() {
background(0);
for (let [i, b] of balls.entries()) {
b.update();
b.paths();
b.show();
attractor.attract(b);
for (let i = 0; i < b.path.length; i++) {
if (b.path.length > 1000) {
b.path.splice(0, 1);
}
noFill();
strokeWeight(2);
stroke(b.color, 50);
point(b.path[i].x, b.path[i].y);
}
attractor.remove(b, i);
if (balls.length >= 1) {
for (let [im, m] of balls.entries()) {
if (dist(b.pos.x, b.pos.y, m.pos.x, m.pos.y) < b.r + m.r && i != im) {
let ax = (b.pos.x + m.pos.x) / 2;
let ay = (b.pos.y + m.pos.y) / 2;
let am = (b.mass + m.mass) * 0.75;
// let avx = (b.vel.x + m.vel.x) / 2;
// let avy = (b.vel.y + m.vel.y) / 2;
let av = b.vel;
av.add(m.vel);
// let avx = 0;
// let avy = 0;
// b.vel.x = 0;
// b.vel.y = 0;
// m.vel.x = 0;
// m.vel.y = 0;
balls.splice(i, 1);
if (i < im) {
balls.splice(im - 1, 1);
} else {
balls.splice(im, 1);
}
balls.push(new Ball(ax, ay, am, av.x, av.y));
break;
}
}
}
}
attractor.show();
}
function mouseClicked() {
balls.push(new Ball(mouseX, mouseY, 10, random(-5, 5), random(-5, 5)));
// balls.push(new Ball(mouseX, mouseY, 10, 2, 2));
}
class Ball {
constructor(x, y, m, vx, vy) {
this.pos = createVector(x, y);
this.vel = createVector(vx, vy);
this.acc = createVector(0, 0);
this.mass = m;
this.r = sqrt(this.mass) * 2;
this.color = color(random(100, 255), random(100, 255), random(100, 255));
this.path = [];
}
applyForce(force) {
let f = p5.Vector.div(force, this.mass);
this.drawArrow('#66ff33', 30, f);
this.acc.add(f);
}
drawArrow(showColor, size, f) {
if (f.x != 0 || f.y != 0) {
push();
stroke(color(showColor));
fill(color(showColor));
translate(this.pos.x, this.pos.y);
line(0, 0, f.x * size, f.y * size);
rotate(f.heading());
translate(f.mag() * size, 0);
let arrowSize = 7;
triangle(0, arrowSize / 2, 0, -arrowSize / 2, arrowSize, 0);
pop();
}
}
update() {
this.vel.add(this.acc);
this.pos.add(this.vel);
this.acc.set(0, 0);
if (this.vel.x !== 0 || this.vel.y !== 0 && this.vel.y !== 1) {
this.drawArrow('#ffff33', 5, this.vel);
}
}
paths() {
this.path.push({
x: this.pos.x,
y: this.pos.y
});
}
show() {
stroke(255);
strokeWeight(1);
fill(this.color, 80);
ellipse(this.pos.x, this.pos.y, this.r * 2);
}
}
class Attractor {
constructor(x, y, m) {
this.pos = createVector(x, y);
this.mass = m;
this.r = sqrt(this.mass) * 2;
}
attract(ball) {
let force = p5.Vector.sub(this.pos, ball.pos);
let distanceSq = constrain(force.magSq(), 100, 10000);
let G = 5;
let strength = G * (this.mass * ball.mass) / distanceSq;
force.setMag(strength);
ball.applyForce(force);
}
remove(ball, id) {
if (dist(this.pos.x, this.pos.y, ball.pos.x, ball.pos.y) < this.r) {
balls.splice(id, 1);
this.mass += ball.mass;
this.r = sqrt(this.mass) * 2;
}
}
show() {
noStroke();
fill(255, 0, 100);
ellipse(this.pos.x, this.pos.y, this.r * 2);
}
}
</script>
</body></html>