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:quality(85)/https://cdn.frvr.ai/65a4a468d7a41fff12f37792.png)
Creation History
User prompt
the ball orbiting the orbit must accelerate and decelerate according to Kepler's laws.
User prompt
the ball can't pass through the planet, it describes an open ellipse around it, according to Kepler's laws.
User prompt
the ball wasn't born on the planet.
User prompt
the ball is born near the planet, not inside, and accelerated by its gravity.
User prompt
he ball must not touch the planet's surface, it must circle it according to Kepler's laws.
User prompt
The ball is only born once. Correct the mistake.
User prompt
increase the impact of the planet to 50 percent of the screen
User prompt
the ball isn't born on the planet.
User prompt
the ball should not touch the planet surface, the closer to the planet surface the more curved the trajectory of the ball, but the ball should not remain in the planet orbit.
User prompt
the ball should not touch the surface of the planet, the closer to the planet surface the more curved the trajectory of the ball is
User prompt
the ball must not touch the planet's surface, it must circle it according to Kepler's laws.
User prompt
increase the gravity of the planet and the mass of the ball 100 times.
User prompt
increase the gravity of the planet and the mass of the ball 10 times.
User prompt
increase the gravity of the planet and the mass of the ball
User prompt
increase the planet's gravity
User prompt
increase the planet's gravity
User prompt
the ball must not touch the planet's surface, it must circle it according to Kepler's laws.
User prompt
expand the planet's sphere of influence
User prompt
Fix Bug: 'TypeError: Cannot read properties of undefined (reading 'radius')' in this line: 'if (distance < planet.radius + self.radius) {' Line Number: 97
User prompt
Fix Bug: 'TypeError: Cannot read properties of undefined (reading 'x')' in this line: 'var dx = planet.x - self.x;' Line Number: 93
User prompt
the ball cannot pass through the planet, it must change its trajectory in the vicinity of the planet, the more the closer it gets
User prompt
Fix Bug: 'TypeError: this.intersects is not a function' in this line: 'if (this.intersects(leftPaddle)) {' Line Number: 74
User prompt
The ball cannot pass through the paddle, it must interact with the ball with all of its faces.
User prompt
make the background a starry sky.
User prompt
the planet distorts the ball's trajectory the closer it gets.
===================================================================
--- original.js
+++ change.js
@@ -75,9 +75,9 @@
// Check for collisions with top and bottom boundaries
if (ball.y - ball.radius <= 0 || ball.y + ball.radius >= game.height) {
ball.velocity.y *= -1;
}
- // Elliptical orbit effect around the planet
+ // Elliptical orbit effect around the planet using Kepler's laws
var dx = planet.x - ball.x;
var dy = planet.y - ball.y;
var distance = Math.sqrt(dx * dx + dy * dy);
if (distance < planet.radius + ball.radius) {
@@ -88,13 +88,20 @@
// Calculate angle of approach
var angle = Math.atan2(dy, dx);
// Calculate the perpendicular angle for the orbit
var orbitAngle = angle + Math.PI / 2;
- // Determine the orbiting velocity
- var orbitVelocity = Math.sqrt(planet.mass / distance);
+ // Determine the orbiting velocity, which changes with distance
+ var orbitVelocity = Math.sqrt(planet.mass / distance * (2 / distance - 1 / (planet.radius * 2.5)));
// Apply the orbiting velocity perpendicular to the angle of approach
- ball.velocity.x = Math.cos(orbitAngle) * orbitVelocity;
- ball.velocity.y = Math.sin(orbitAngle) * orbitVelocity;
+ ball.velocity.x += Math.cos(orbitAngle) * orbitVelocity;
+ ball.velocity.y += Math.sin(orbitAngle) * orbitVelocity;
+ // Normalize the velocity to simulate acceleration and deceleration
+ var speed = Math.sqrt(ball.velocity.x * ball.velocity.x + ball.velocity.y * ball.velocity.y);
+ var maxSpeed = 10;
+ if (speed > maxSpeed) {
+ ball.velocity.x *= maxSpeed / speed;
+ ball.velocity.y *= maxSpeed / speed;
+ }
}
// Reset ball if it goes off screen
if (ball.x < -ball.radius || ball.x > game.width + ball.radius) {
ball.reset();
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