Orbiting Bullets

I have a ship that is orbiting an object, and I need to now make it shoot bullets. I am having trouble getting this to work. I currently have my ship a child of a pivot point (0,0,0) and I have a gun a child of the ship. I also have two on-screen virtual joysticks (one controls the ship movement and the other controls the direction of the gun)...

I want to make it so that when the gun joystick is touched, that it starts shooting bullets in that direction and the bullets would orbit until they hit something, or their lifetime has elapsed.

If you would like a little more information, feel free to ask! Thanks!

Edit:

Here is what I have so far in my hierarchy:

• Pivot - Camera - Ship - Gun - BulletSpawnPoint

The pivot point is the center of my planet (0,0,0). The Camera and ship orbit around the planet as one joystick is moved. The gun is controlled by a different joystick. Bullets are spawned at the bullet spawn point when fired.

Here is my code attached to the gun (The gun turns fine until the ship is moved to the other side of the planet and then it seems some signs get swapped):

         // If the gun joystick is touched and the bullet interval has elapsed
         if (GunJoystick.IsFingerDown() && ((Time.time*1000) - lastBulletTime) > BULLET_INTERVAL)
         {
             // Rotate the gun according to the joystick angle
             currentAngle = (Mathf.Atan2(-GunJoystick.position.y, -GunJoystick.position.x) * (180/Mathf.PI)) + 90;
             thisTransform.RotateAroundLocal(Vector3.forward, (Mathf.DeltaAngle(lastAngle, currentAngle)*Mathf.Deg2Rad));
             lastAngle = currentAngle;
             
             // Get the next bullet
             currentBullet = bullets[nextBullet++];
             
             // Check if we have used the last bullet and wrap around
             if (nextBullet >= bullets.Length)
             {
                 nextBullet = 0;
             }
             
             // Set the bullet values
             currentBullet.bullet.SetActiveRecursively(true);
             currentBullet.bullet.transform.position = thisTransform.position;
             currentBullet.bullet.transform.rotation = thisTransform.localRotation;
             currentBullet.startTime = Time.time * 1000;
             currentBullet.bullet.GetComponent<BulletController>().direction.Set(GunJoystick.position.y, -GunJoystick.position.x, 0.0f);
             
             // Set the last time a bullet was shot from the gun
             lastBulletTime = currentBullet.startTime;
         }

Here is the script attached to the bullet prefab, and it appears that something is wrong with this because the bullets don't orbit correctly:

 public class BulletController : MonoBehaviour 
 {
     public Vector3 direction;
     private Transform thisTransform;
     private const float BULLET_SPEED = 200;
     
     public void Start()
     {
         thisTransform = transform;
         direction = new Vector3();
     }
     
     public void Update()
     {
         if (gameObject.active)
         {
             //transform.Rotate(Direction.x + 100 * Time.deltaTime, Direction.y + 100 * Time.deltaTime, 0.0f);
             thisTransform.RotateAround(Vector3.zero, direction, BULLET_SPEED * Time.deltaTime);
             //thisTransform.Rotate(direction.y * BULLET_SPEED * Time.deltaTime, -direction.x * BULLET_SPEED * Time.deltaTime, 0.0f);
         }    
     }
 }