Help with my ball physics

1

I scrounged up a bunch of physics math tutorials on Google and I put together this function to detect the collision and manage the physics of bouncing balls. There is no gravity or friction. I need help with it however. Sometimes the balls overlap without a bounce and this prevents any further bouncing interactions until they separate…

All the objects have the following variables in them when they are attached.
x_speed:Number, y_speed:Number, onehit:Boolean, radius:Number and mass:Number

function bump_test(obj1:Object, obj2:Object){
    if(obj1==obj2)return false;
    var dx:Number = obj2._x - obj1._x;
    var dy:Number = obj2._y - obj1._y;
    var ax:Number = Math.abs(dx);
    var ay:Number = Math.abs(dy);
    if(Math.sqrt(ax*ax+ay*ay) <= obj1.radius + obj2.radius
    && obj1.onehit==false && obj2.onehit==false){
        var o1xs:Number = (obj1.throwit==false)? obj1.x_speed : obj1.x_speed*this.rsd;
        var o2xs:Number = (obj2.throwit==false)? obj2.x_speed : obj2.x_speed*this.rsd;
        var o1ys:Number = (obj1.throwit==false)? obj1.y_speed : obj1.y_speed*this.rsd;
        var o2ys:Number = (obj2.throwit==false)? obj2.y_speed : obj2.y_speed*this.rsd;
        var c_angle:Number = Math.atan2(dy,dx);
        var mag_1:Number = Math.sqrt(o1xs*o1xs + o1ys*o1ys);
        var mag_2:Number = Math.sqrt(o2xs*o2xs + o2ys*o2ys);
        var dir_1:Number = Math.atan2(o1ys, o1xs);
        var dir_2:Number = Math.atan2(o2ys, o2xs);
        var new_x1:Number = mag_1*Math.cos(dir_1 - c_angle);
        var new_x2:Number = mag_2*Math.cos(dir_2 - c_angle);
        var final_y1:Number = mag_1*Math.sin(dir_1 - c_angle);
        var final_y2:Number = mag_2*Math.sin(dir_2 - c_angle);
        var final_x1:Number = (new_x1*(obj1.mass-obj2.mass)+new_x2*(obj2.mass+obj2.mass))
                                /(obj1.mass+obj2.mass);
        var final_x2:Number = (new_x1*(obj2.mass-obj1.mass)+new_x2*(obj1.mass+obj1.mass))
                                /(obj1.mass+obj2.mass);
        obj1.x_speed = Math.cos(c_angle)*final_x1+Math.cos(c_angle+Math.PI/2)*final_y1;
        obj1.y_speed = Math.sin(c_angle)*final_x1+Math.sin(c_angle+Math.PI/2)*final_y1;
        obj2.x_speed = Math.cos(c_angle)*final_x2+Math.cos(c_angle+Math.PI/2)*final_y2;
        obj2.y_speed = Math.sin(c_angle)*final_x2+Math.sin(c_angle+Math.PI/2)*final_y2;
        if(obj1.throwit == true || obj2.throwit == true){
            this.mrk = true;
            s_space = false;
        }
        obj1.onehit = true;
        obj2.onehit = true;
    }
    
    if(Math.sqrt(ax*ax+ay*ay) > obj1.radius + obj2.radius
    && obj1.onehit==true && obj2.onehit==true){
        obj1.onehit = false;
        obj2.onehit = false;
    }
}