You could use the 'built-in' script "Smooth Follow".

Attach the script (Component/Camera-Control/Smooth Follow) to your camera and adjust the values in the inspector.

// A simple smooth follow camera, // that follows the targets forward direction

var target : Transform; var smooth = 0.3; var height = 0; var distance = 5.0; private var yVelocity = 0.0;

function Update () { // Damp angle from current y-angle towards target y-angle var yAngle : float = Mathf.SmoothDampAngle(transform.eulerAngles.y, target.eulerAngles.y, yVelocity, smooth); // Position at the target var position : Vector3 = target.position; // Then offset by distance behind the new angle position += Quaternion.Euler(0+height, yAngle, 0) * Vector3 (0, 0, -distance); // Apply the position transform.position = position;

// Look at the target
transform.LookAt(target);

}

You could just use this script that I wrote - it's not the fanciest of things but it gets the job done

I had the same problem with a spaceship shaking too

var playerMarker : Transform;

function LateUpdate () {
    transform.position = Vector3.Lerp(transform.position, playerMarker.position, Time.deltaTime * 100);
    transform.rotation = Quaternion.Lerp(transform.rotation, playerMarker.rotation, Time.deltaTime * 100);
}

For the 'shaking' problem, try moving the code you posted from Update() to FixedUpdate().