JavaScript Circle Collision Detection Bug

我在学校项目中做的圆圈/球碰撞模拟中遇到了这个奇怪的错误。我还可以补充一点，我有点菜鸟，我已经编程了大约一年。

碰撞工作正常，直到我用很多圆圈填充画布。我真的不明白为什么。25 个圆圈工作正常，但当我上升到 50 个圆圈时，圆圈开始变得有问题。

正如您在下面的链接中看到的那样，在运行一段时间并疯狂旋转后，圆圈开始相互连接，这不是我喜欢发生的事情。

50个圆圈的例子：https://dl.dropboxusercontent.com/u/9069602/circles/vers1/collisions.html

我的猜测是，随着它们之间的空间减小，圆圈相互附着的风险会更大，但在开始模拟时它们似乎有足够的空间。我使用 nextY/nextX 位置变量在实际影响发生之前计算一帧的影响。这也可能是错误的来源。我真的无法将手指指向开始调试。

以下是 50 圆圈案例的代码：https://dl.dropboxusercontent.com/u/9069602/circles/vers1/circle.js

// Returns true if two circles are overlapping
function overlapDetection( circle1, circle2 ) {
    var returnValue = false;
    var dx = circle1.nextX - circle2.nextX;
    var dy = circle1.nextY - circle2.nextY;
    var distance = ( dx * dx + dy * dy );
    if ( distance <= ( circle1.radius + circle2.radius ) * ( circle1.radius + circle2.radius ) ) {
        returnValue = true;
    }
    return returnValue; 
}
function collide() {
    var circle;
    var testCircle;
    var returnValue = false;
    for ( var i = 0; i < circles.length; i += 1 ) {
        circle = circles[i];
        for ( var j = i + 1; j < circles.length; j += 1 ) {
            testCircle = circles[j];
            if ( overlapDetection( circle, testCircle ) ) {
                collideCircles( circle, testCircle );
                collideCircle1 = circle.id;
                collideCircle2 = testCircle.id;
                returnValue = true;
            }
        }
    }
    return returnValue;
}
function collideCircles( circle1, circle2 ) {
    var dx = circle1.nextX - circle2.nextX;
    var dy = circle1.nextY - circle2.nextY;
    var collisionAngle = Math.atan2( dy, dx );
    var speed1 = Math.sqrt( circle1.velocityX * circle1.velocityX + circle1.velocityY * circle1.velocityY );
    var speed2 = Math.sqrt( circle2.velocityX * circle2.velocityX + circle2.velocityY * circle2.velocityY );
    var direction1 = Math.atan2( circle1.velocityY, circle1.velocityX );
    var direction2 = Math.atan2( circle2.velocityY, circle2.velocityX );
    var rotatedVelocityX1 = speed1 * Math.cos( direction1 - collisionAngle );
    var rotatedVelocityY1 = speed1 * Math.sin( direction1 - collisionAngle );
    var rotatedVelocityX2 = speed2 * Math.cos( direction2 - collisionAngle );
    var rotatedVelocityY2 = speed2 * Math.sin( direction2 - collisionAngle );
    var finalVelocityX1 = ( ( circle1.mass - circle2.mass ) * rotatedVelocityX1 + ( circle2.mass + circle2.mass ) * rotatedVelocityX2 ) / ( circle1.mass + circle2.mass );
    var finalVelocityX2 = ( (circle1.mass + circle1.mass ) * rotatedVelocityX1 + ( circle2.mass - circle1.mass ) * rotatedVelocityX2 ) / ( circle1.mass + circle2.mass );
    var finalVelocityY1 = rotatedVelocityY1;
    var finalVelocityY2 = rotatedVelocityY2;
    circle1.velocityX = Math.cos( collisionAngle ) * finalVelocityX1 + Math.cos( collisionAngle + Math.PI / 2 ) * finalVelocityY1;
    circle1.velocityY = Math.sin( collisionAngle ) * finalVelocityX1 + Math.sin( collisionAngle + Math.PI / 2 ) * finalVelocityY1;
    circle2.velocityX = Math.cos( collisionAngle ) * finalVelocityX2 + Math.cos( collisionAngle + Math.PI / 2 ) * finalVelocityY2;
    circle2.velocityY = Math.sin( collisionAngle ) * finalVelocityX2 + Math.sin( collisionAngle + Math.PI / 2 ) * finalVelocityY2;
    circle1.nextX += circle1.velocityX;
    circle1.nextY += circle1.velocityY;
    circle2.nextX += circle2.velocityX;
    circle2.nextY += circle2.velocityY;
}

我希望我清楚这个问题。

提前感谢！