Hat orbit

local player = game.Players.LocalPlayer
local character = player.Character or player.CharacterAdded:Wait()
local hat = game.Workspace:WaitForChild("Hat") -- Replace with the name of your hat
local head = character:WaitForChild("Head")

-- Parameters
local radius =     
 speed =      
 offset = .(, , )  


 angle = 
 orbiting = 
 mode =   


  (newMode)
    mode = newMode
    ( .. mode)



  
     mode ==  
        
         x = .(angle) * radius
         z = .(angle) * radius
        hat.CFrame = head.CFrame * .(x, offset.Y, z)
        angle = angle + speed * .()
    
     mode ==  
        
         time = ()
         y = .(time * speed) *   
        hat.CFrame = head.CFrame * .(, offset.Y + y, )
    
     mode ==  
        
         time = ()
         rotation = .(time * )  
        hat.CFrame = head.CFrame * .(, rotation, ) * .(, offset.Y, )
    
     mode ==  
        
        hat.CFrame = head.CFrame * .(, offset.Y, ) 
    

    
    ()  



  ()
      
         userInput = player.PlayerGui:().Text 
        
        
         userInput:() ==  
            ()
         userInput:() ==  
            ()
         userInput:() ==  
            ()
         userInput:() ==  
            ()