Efficiently creating a camera that turns in circles?

Title. I have been trying to create this in a useful way, however each time I tried it is not a good, reliable, and efficient way to make this into a reality. Pretty much what I mean is that I want the camera to rotate in a circle, staying in the same cframe but the rotation moving in a circle-y manner. Current code:

local p = Instance.new("Part",script.Parent)
p.Name = "where"
p.Size = Vector3.new(.1,.1,.1)
p.Anchored = true
p.CanCollide = false
p.Transparency = 1
p.CFrame = script.Parent.Primary.CFrame
while wait() do
	for i = 1,360 do
		script.Parent.Primary.CFrame = script.Parent.Primary.CFrame * CFrame.Angles(0,0,math.rad(1))
	p.CFrame = script.Parent.Primary.CFrame + (script.Parent.Primary.CFrame.lookVector*5)
	p.CFrame = p.CFrame + (p.CFrame.rightVector*.5)
	script.Parent.CFrame = CFrame.new(script.Parent.Position,p.Position)
	wait()
	end
end

The code above is extremely inefficient in my opinion, and it can lag in a game since its using a while loop with a wait(), instead of something like a tween or something. Does anybody know about any math equations, math functions, or anything that can help me out in this situation? Also, if you do send me a math equation, can you explain it into detail so I can learn how to use it? Thanks!