Surface to air missile

[christofferlt (Chris)]

Hi! I have recently begun creating my own interception missile. But im stuck on how i can make it turn realistically, I have tried to create my own script for this using my own math but it has proven to not work as intended

(my script)

function Ai.Calculate_Direction(Projectile,Target)
	
	local Max_Turn_Rate = math.rad(Config.Turn_Rate_Per_Second.Value / Config.Ticks_Per_Second.Value)
	
	local Direction = CFrame.lookAt(Projectile.CFrame.Position,Target.CFrame.Position).Position
	
	local x,y,z = Projectile.CFrame.Rotation:ToOrientation()
	
	local Orientation = Vector3.new(x,y,z)
	local difference = Direction - Orientation
	
	print(Direction," DIR")
	print(Orientation," ORIEN")
	
	local function TurnRate(number)
		return math.clamp(number,-Max_Turn_Rate,Max_Turn_Rate)
	end
	
	return CFrame.Angles(TurnRate (x + difference.X),TurnRate(x + difference.Y),TurnRate(z + difference.Z))
end

(i forgor to make it move)

I would like to know if i can make a better version of my script or of there is a better way of doing this

[dthecoolest]

Hey, if you want a constant angular speed turning through CFrame (not physics) then you can use this CFrame technique below.

The below aligns a parts up vector to the new surface normal upvector.

For your case you can align the parts look vector to the direction of the target (target - missilePos).

How to get the angles of a surface?

Rather than trying to convert this up vector into an angle which is also complicated it’s better to leave it I would rather use @EgoMoose advanced CFrame technique to leave it in terms of vectors. We can obtain a CFrame rotation to align the current persons “UpVector” to the new surface upvector. Here is an example script and video. The advantage of this method is that it will allow you to rotate along the new upVector without having to specify a right vector as a CFrame.fromMatrix solution. …

Currently your calculations do not make too much sense unless you were to convert Direction to orientation. Even if you choose this method you will face issues in the future when handling orientation number range limit [-180, 180].

[christofferlt (Chris)]

Ty will take a look at it

char limit fh argh oasr ga

[christofferlt (Chris)]

do i just lerp/tween the part for it to align whit the direction?

[christofferlt (Chris)]

After some time i have created my prototype missile wich now works as intended (sort of only a few fixes)

function Ai.Calculate_Direction(Projectile, Target)

	local Max_Turn_Rate = math.rad(Config.Turn_Rate_Per_Second.Value / Config.Ticks_Per_Second.Value)

	local dx, dy, dz = CFrame.lookAt(Projectile.CFrame.Position, Target.CFrame.Position).Rotation:ToOrientation()
	local ox, oy, oz = Projectile.CFrame.Rotation:ToOrientation()

	local function NormalizeAngle(angle)
		return (angle + math.pi) % (2 * math.pi) - math.pi
	end

	local Direction = Vector3.new(dx, dy, dz)
	local Orientation = Vector3.new(ox, oy, oz)
	local difference = Vector3.new(
		NormalizeAngle(Direction.X - Orientation.X),
		NormalizeAngle(Direction.Y - Orientation.Y),
		NormalizeAngle(Direction.Z - Orientation.Z)
	)

	local function TurnRate(number)
		return math.clamp(number, -Max_Turn_Rate, Max_Turn_Rate)
	end

	return CFrame.Angles(TurnRate(difference.X), TurnRate(difference.Y), TurnRate(difference.Z))
end