1  you should terminate your throwobject loop when you're dragging object and restart when object is dropped.

2. have both throwobject and drag call a new function where you loop through object's children checking for stage-center proximity.  if a child is "close", reparent it so it's no longer being affected by object's movement.

you're welcome.

var ms:MouseSpeed                    = new MouseSpeed();

var xSpeed:Number                    = 0;

var ySpeed:Number                    = 0;

var friction:Number                    = 0.85;

var offsetX:Number                    = 0;

var offsetY:Number                    = 0;

 

object.buttonMode = true;

object.addEventListener(MouseEvent.MOUSE_DOWN, mouseDownHandler);

 

park_mc.height=stage.stageHeight*3;

park_mc.width= stage.stageWidth*3;

 

function mouseDownHandler(e:MouseEvent):void

{

          stage.addEventListener(Event.ENTER_FRAME, drag);

          stage.addEventListener(MouseEvent.MOUSE_UP, mouseUpHandler);

          offsetX = mouseX - object.x;

          offsetY = mouseY - object.y;

object.removeEventListener(Event.ENTER_FRAME, throwobject);

}

 

function mouseUpHandler(e:MouseEvent):void

{

          stage.removeEventListener(Event.ENTER_FRAME, drag);

          stage.removeEventListener(MouseEvent.MOUSE_UP, mouseUpHandler);

          xSpeed = ms.getXSpeed();

          ySpeed = ms.getYSpeed();

object.addEventListener(Event.ENTER_FRAME, throwobject);

}

 

function drag(e:Event):void

{

          object.x = mouseX - offsetX;

          object.y = mouseY - offsetY; 

checkChildrenF();                

}

 

function throwobject(e:Event)

{

          object.x += xSpeed;

          object.y += ySpeed;

          object1.x -= (object1.x - mouseX) /16;

          object1.y -= (object1.y - mouseY) /16;   

 

          xSpeed *= friction;

          ySpeed *= friction;

 

          if(object.x > park_mc.width - object.width/9)

          {

                    object.x = park_mc.width - object.width/9 ;

                    xSpeed *= -1;

          }

          if(object.x < object.width/9 )

          {

                    object.x = object.width/9 ;

                    xSpeed *= -1;

          }

          if(object.y > park_mc.height - object.height/9 )

          {

                    object.y = park_mc.height - object.height/9 ;

                    ySpeed *= -1;

          }

          if(object.y < object.height/9 )

          {

                    object.y = object.height/9;

                    ySpeed *= -1;

          }

checkChildrenF();

}

 

function checkChildrenF():void{
for(var i:int=0;i<object.numChildren;i++){
var c:DisplayObject=object.getChildAt(i);
if(distF(c,stage.stageWidth/2,stage.stageHeight/2)<400){
stage.addChild(c);
}
}
}
function distF(dobj:DisplayObject,x:Number,y:Number):Number{
return (dobj.x-x)*(dobj.x-x)+(dobj.y-y)*(dobj.y-y);  // actually square of distance
}

you're welcome.