===================================================================
--- original.js
+++ change.js
@@ -19,16 +19,24 @@
 	// Cap maximum speed to prevent stars from moving too fast
 	self.speed = Math.min(2 + Math.random() * 1, 3); // Maximum speed capped at 3
 	self.move = function () {
 		// Update position based on velocity
-		self.z += self.speed;
-		if (self.z <= 0) {
-			self.z = Math.random() * 1000 + 1;
+		self.z += self.speed * deltaTime; // Use deltaTime for smooth, frame-rate independent movement
+		self.x = centerX + self.vx * self.z * deltaTime;
+		self.y = centerY + self.vy * self.z * deltaTime;
+		// Reset star position and properties for smooth re-entry
+		if (self.z <= 0 || self.x < -game.width || self.x > game.width * 2 || self.y < -game.height || self.y > game.height * 2) {
+			self.z = Math.random() * 1900 + 100; // Ensure stars start further away
+			self.x = (Math.random() - 0.5) * game.width * 2;
+			self.y = (Math.random() - 0.5) * game.height * 2;
+			self.vx = (self.x - centerX) / self.z;
+			self.vy = (self.y - centerY) / self.z;
+			self.speed = Math.min(2 + Math.random() * 1, 3); // Adjust speed for a more dynamic effect
 		}
 		self.x = centerX + self.vx * self.z;
 		self.y = centerY + self.vy * self.z;
 		// Scale star based on z position to simulate 3D effect
-		var scale = 1000 / (1000 + self.z);
+		var scale = Math.min(1000 / (1000 + self.z), 1.5); // Limit maximum scale to 1.5 to prevent abrupt size changes
 		self.scale.x = scale;
 		self.scale.y = scale;
 	};
 });
@@ -74,9 +82,11 @@
 		dy /= length;
 		// Set the star's velocity to the direction vector
 		star.vx = dx * star.speed;
 		star.vy = dy * star.speed;
-		star.move();
+		// Calculate time elapsed since last frame for frame-rate independent movement
+		var deltaTime = LK.elapsedTime / 1000; // Assuming LK.elapsedTime gives time in milliseconds
+		star.move(deltaTime);
 		// Reset star position and properties when it moves offscreen
 		if (star.x < -game.width || star.x > game.width * 2 || star.y < -game.height || star.y > game.height * 2 || star.z <= 0) {
 			star.z = Math.random() * 2000 + 100; // Reset z to a value ensuring stars start further away
 			star.x = Math.random() * game.width;