/**** 
* Classes
****/
var ScorePopup = Container.expand(function (x, y) {
	var self = Container.call(this);
	self.x = x;
	self.y = y;
	var scoreText = new Text2('+1', {
		size: 100,
		fill: "#ffffff",
		anchorX: 0.5,
		anchorY: 0.5
	});
	scoreText.x = -scoreText.width / 2;
	scoreText.y = -scoreText.height / 2;
	self.addChild(scoreText);
	self.alpha = 1;
	var duration = 90;
	self.update = function () {
		duration--;
		self.y -= 2;
		self.alpha -= 1 / 90;
		if (duration <= 0) {
			self.destroy();
		}
	};
	game.addChild(self);
});
var ParticleEffect = Container.expand(function (x, y) {
	var self = Container.call(this);
	self.x = x;
	self.y = y;
	var particles = [];
	for (var i = 0; i < 20; i++) {
		var particle = self.attachAsset('star', {
			anchorX: 0.5,
			anchorY: 0.5
		});
		particle.scaleX = particle.scaleY = Math.random() * 0.5 + 0.5;
		particle.alpha = 0.7;
		particle.vx = (Math.random() - 0.5) * 10;
		particle.vy = (Math.random() - 0.5) * 10;
		particles.push(particle);
	}
	self.update = function () {
		for (var i = particles.length - 1; i >= 0; i--) {
			particles[i].x += particles[i].vx;
			particles[i].y += particles[i].vy;
			particles[i].alpha -= 0.02;
			if (particles[i].alpha <= 0) {
				particles[i].destroy();
				particles.splice(i, 1);
			}
		}
		if (particles.length === 0) {
			self.destroy();
		}
	};
	game.addChild(self);
});
var DotParticleEffect = Container.expand(function (x, y) {
	var self = Container.call(this);
	self.x = x;
	self.y = y;
	var particles = [];
	var angleIncrement = Math.PI * 2 / 20;
	var speed = 30;
	for (var i = 0; i < 20; i++) {
		var particle = self.attachAsset('dot', {
			anchorX: 0.5,
			anchorY: 0.5
		});
		particle.scaleX = particle.scaleY = 0.5;
		particle.alpha = 1;
		var angle = i * angleIncrement;
		particle.vx = Math.cos(angle) * speed;
		particle.vy = Math.sin(angle) * speed;
		particles.push(particle);
	}
	self.update = function () {
		for (var i = particles.length - 1; i >= 0; i--) {
			particles[i].x += particles[i].vx;
			particles[i].y += particles[i].vy;
			particles[i].alpha -= 0.0167;
			if (particles[i].alpha <= 0) {
				particles[i].destroy();
				particles.splice(i, 1);
			}
		}
		if (particles.length === 0) {
			self.destroy();
		}
	};
	game.addChild(self);
});
var Dot = Container.expand(function () {
	var self = Container.call(this);
	var dotGraphics = self.attachAsset('dot', {
		anchorX: 0.5,
		anchorY: 0.5
	});
	self.destroyed = false;
	self.velocityY = 0;
	self.gravity = 0.7;
	self.bounce = -15;
	self.update = function () {
		var previousY = self.y;
		self.velocityY += self.gravity;
		self.y += self.velocityY;
		if (!self.firstTouch && !self.intersects(hand)) {
			self.y = 2732 - self.height / 2 - 500;
		} else if (self.intersects(hand)) {
			self.bounceUp();
		} else if (self.y > 2232 - self.height / 2 && self.firstTouch && !self.firstStarDestroyed) {
			self.velocityY = self.bounce;
		} else if (self.y > 2832 && !self.destroyed) {
			createDotParticleEffect(self.x, self.y);
			self.destroyed = true;
			self.destroy();
			LK.setTimeout(function () {
				LK.showGameOver();
			}, 1000);
		}
		self.movedDistance = self.y - previousY;
	};
	self.bounceUp = function () {
		if (!self.destroyed) {
			self.velocityY = self.bounce;
			self.firstTouch = true;
			if (!self.firstStarDestroyed) {
				self.firstStarDestroyed = true;
			}
		}
	};
});
var CircularObstacle = Container.expand(function (starX, starY, radius, angleSpeed, initialAngle) {
	var self = Container.call(this);
	var obstacleGraphics = self.attachAsset('obstacle', {
		anchorX: 0.5,
		anchorY: 0.5
	});
	self.angle = initialAngle || 0;
	self.radius = radius;
	self.angleSpeed = angleSpeed * 0.75;
	self.starX = starX;
	self.starY = starY;
	self.updatePosition = function () {
		self.x = self.starX + Math.cos(self.angle) * self.radius;
		self.y = self.starY + Math.sin(self.angle) * self.radius;
		self.angle += self.angleSpeed * 0.35;
		obstacleGraphics.rotation += self.angleSpeed * 0.35;
	};
	self.moveDown = function (distance) {
		self.starY += distance * 2;
	};
	self.updatePosition();
});
var Star = Container.expand(function () {
	var self = Container.call(this);
	var starGraphics = self.attachAsset('star', {
		anchorX: 0.5,
		anchorY: 0.5
	});
	self.scaleDirection = 1;
	self.scaleSpeed = 0.005;
	self.minScale = 1;
	self.maxScale = 1.2;
	self.moveDown = function (distance) {
		self.y += distance * 2;
		if (self.y > 2732 - self.height / 2) {
			self.y = -self.height / 2;
		}
	};
	self.updateScale = function () {
		if (self.scaleDirection === 1 && starGraphics.scale.x < self.maxScale) {
			starGraphics.scale.x += self.scaleSpeed;
			starGraphics.scale.y += self.scaleSpeed;
		} else if (self.scaleDirection === -1 && starGraphics.scale.x > self.minScale) {
			starGraphics.scale.x -= self.scaleSpeed;
			starGraphics.scale.y -= self.scaleSpeed;
		}
		if (starGraphics.scale.x >= self.maxScale || starGraphics.scale.x <= self.minScale) {
			self.scaleDirection *= -1;
		}
	};
});
var OrbitLine = Container.expand(function (starX, starY, radius) {
	var self = Container.call(this);
	self.starX = starX;
	self.starY = starY;
	self.radius = radius;
	var segments = 50;
	var angleIncrement = Math.PI * 2 / segments;
	for (var i = 0; i < segments; i++) {
		var angle = i * angleIncrement;
		var dot = self.attachAsset('smallObstacle', {
			x: starX + Math.cos(angle) * radius,
			y: starY + Math.sin(angle) * radius,
			anchorX: 0.5,
			anchorY: 0.5
		});
		if (i % 2 === 0) {
			dot.alpha = 0;
		}
	}
	self.moveDown = function (distance) {
		self.y += distance * 2;
	};
});
// Add Hand asset below the dot
var Hand = Container.expand(function () {
	var self = Container.call(this);
	var handGraphics = self.attachAsset('hand', {
		anchorX: 0.5,
		anchorY: 0
	});
	self.update = function () {
		// Hand asset does not need to move or update
	};
});

/**** 
* Initialize Game
****/
var game = new LK.Game({
	backgroundColor: 0x000000
});

/**** 
* Game Code
****/
// Initialize the offscreen threshold for destroying obstacles
var offscreenThreshold = 2732 + 1000;
function createParticleEffect(x, y) {
	var effect = new ParticleEffect(x, y);
	LK.on('tick', function () {
		effect.update();
	});
}
function createDotParticleEffect(x, y) {
	var effect = new DotParticleEffect(x, y);
	LK.on('tick', function () {
		effect.update();
	});
}
var dot = game.addChild(new Dot());
dot.x = 2048 / 2;
dot.y = 2732 - dot.height / 2 - 500;
var hand;
function createHand() {
	hand = game.addChild(new Hand());
	hand.x = dot.x;
	hand.y = dot.y + dot.height / 2 + 10;
}
createHand();
var obstacles = [];
function updateObstacles() {
	var obstacleCount = 5 + LK.getScore();
	while (obstacles.length < obstacleCount) {
		var obstacle = game.addChild(new Obstacle());
		obstacle.x = obstacle.direction === 1 ? -obstacle.width / 2 : 2048 + obstacle.width / 2;
		obstacle.y = Math.random() * (2732 - obstacle.height) + obstacle.height / 2;
		obstacles.push(obstacle);
	}
}
var scoreTxt = new Text2('', {
	size: 200,
	fill: "#ffffff"
});
scoreTxt.anchor.set(0.5, 0);
scoreTxt.x = 600;
LK.gui.top.addChild(scoreTxt);
LK.gui.top.addChild(scoreTxt);
game.on('down', function (obj) {
	if (dot) {
		dot.bounceUp();
	}
});
var stars = [];
var star = game.addChild(new Star());
star.x = 2048 / 2;
star.y = 2732 / 2 - 500;
stars.push(star);
// Add dotted orbit for the first star
var orbitLine = game.addChild(new OrbitLine(star.x, star.y, 300));
obstacles.push(orbitLine);
function spawnInitialObstacles() {
	var starX = 2048 / 2;
	var starY = 2732 / 2 - 500;
	var radius = 300;
	var angleSpeed = 0.05;
	for (var i = 0; i < 20; i++) {
		var obstacle = game.addChild(new CircularObstacle(starX, starY, radius, angleSpeed));
		obstacles.push(obstacle);
	}
}
spawnInitialObstacles();
LK.on('tick', function () {
	dot.update();
	for (var i = 0; i < obstacles.length; i++) {
		if (obstacles[i] instanceof CircularObstacle) {
			obstacles[i].updatePosition();
		} else {
			if (typeof obstacles[i].move === 'function') {
				obstacles[i].move();
			}
		}
		if (dot.y < 1500 && dot.movedDistance < 0) {
			obstacles[i].moveDown(-dot.movedDistance);
		}
		if (dot.intersects(obstacles[i]) && !(obstacles[i] instanceof OrbitLine)) {
			if (!dot.destroyed) {
				createDotParticleEffect(dot.x, dot.y);
				dot.destroyed = true;
			}
			dot.destroy();
			LK.setTimeout(function () {
				LK.showGameOver();
			}, 1000);
		} else if (obstacles[i].y > offscreenThreshold) {
			obstacles[i].destroy();
			obstacles.splice(i, 1);
		}
	}
	for (var j = stars.length - 1; j >= 0; j--) {
		stars[j].updateScale();
		if (dot.intersects(stars[j])) {
			LK.setScore(LK.getScore() + 1);
			scoreTxt.setText(LK.getScore().toString());
			scoreTxt.alpha = 0;
			var originalY = scoreTxt.y;
			LK.on('tick', function updateScoreTextFadeIn() {
				scoreTxt.alpha += 0.05;
				scoreTxt.y = originalY - (1 - scoreTxt.alpha) * 50;
				if (scoreTxt.alpha >= 1) {
					scoreTxt.alpha = 1;
					LK.off('tick', updateScoreTextFadeIn);
				}
			});
			var oldStarY = stars[j].y;
			createParticleEffect(stars[j].x, stars[j].y);
			var scorePopup = new ScorePopup(stars[j].x, stars[j].y);
			LK.on('tick', function () {
				scorePopup.update();
			});
			stars[j].destroy();
			stars.splice(j, 1);
			if (!hand) {
				createHand();
			}
			hand.y += 1000;
			var newStar = game.addChild(new Star());
			newStar.x = 2048 / 2;
			var additionalYOffset = LK.getScore() > 1 ? (LK.getScore() - 1) * 200 : 0;
			newStar.y = oldStarY - 2000 - additionalYOffset;
			stars.push(newStar);
			// Increase the offscreen threshold for destroying obstacles
			offscreenThreshold += 300;
			// Add a cumulative number of CircularObstacles at random positions around the new star
			var cumulativeObstacles = 1 + LK.getScore();
			for (var k = 0; k < cumulativeObstacles; k++) {
				var randomAngle = Math.random() * Math.PI * 2; // Random angle in radians
				var radiusOffset = k * 100;
				var circularObstacle = game.addChild(new CircularObstacle(newStar.x, newStar.y, 300 + radiusOffset, 0.05 * (k % 2 === 0 ? 1 : -1), randomAngle));
				obstacles.push(circularObstacle);
			}
			// Add orbit line after creating all obstacles
			var orbitLine = game.addChild(new OrbitLine(newStar.x, newStar.y, 300 + radiusOffset));
			obstacles.push(orbitLine);
		} else if (dot.y < 1500 && dot.movedDistance < 0) {
			stars[j].moveDown(-dot.movedDistance);
		}
	}
});

===================================================================
--- original.js
+++ change.js
@@ -344,8 +344,12 @@
 				scorePopup.update();
 			});
 			stars[j].destroy();
 			stars.splice(j, 1);
+			if (!hand) {
+				createHand();
+			}
+			hand.y += 1000;
 			var newStar = game.addChild(new Star());
 			newStar.x = 2048 / 2;
 			var additionalYOffset = LK.getScore() > 1 ? (LK.getScore() - 1) * 200 : 0;
 			newStar.y = oldStarY - 2000 - additionalYOffset;