在Update函数中执行：

if (turnAround)
  {
    playerCamera.RotateAround(transform.localPosition, transform.up, Time.deltaTime * rotateSpeed);
    degree += Time.deltaTime * rotateSpeed;
    if (degree >= 360)
    {
      turnAround = false;        
      degree = 0;
     }
   }

补充：unity 摄像机围绕某个物体进行旋转放大缩小

脚本通过以一个物体为中心点

来控制摄像机围绕物体旋转缩放 ，脚本挂在摄像机上即可，target是需要观看的物体

public Transform Camera2;
public GameObject target;
private float dis;
public float xSpeed = 200, ySpeed = 200, mSpeed = 10;                   //移动速度
public float yMinLimit = -50, yMaxLimit = 50;                           //摄像机的Y轴移动最小最大限制
public float distance = 7, minDistance = 2, maxDistance = 30;           //摄像机与目标物体的距离
public bool needDamping = true;                                         //阻尼默认开启
float damping = 5.0f;                                                   //默认阻尼为5.0F
public float x = 0.0f;                                                  //X轴
public float y = 0.0f;                                                  //Y轴
// Use this for initialization
void Start() {
    instance = this;
    Camr = Camera2Rotation.Close;
    Vector3 angles = transform.eulerAngles;
    x = angles.y;
    y = angles.x;  
}
private void Update()
{
}
void LateUpdate()
{
            //使用按下鼠标左键移动物体
            if (Input.GetMouseButton(1))
            {
                x += Input.GetAxis("Mouse X") * xSpeed * 0.02f;
                y -= Input.GetAxis("Mouse Y") * ySpeed * 0.02f;
                y = ClampAngle(y, yMinLimit, yMaxLimit);
            }
            distance -= Input.GetAxis("Mouse ScrollWheel") * mSpeed;
            distance = Mathf.Clamp(distance, minDistance, maxDistance);
            Quaternion rotation = Quaternion.Euler(y, x, 0.0f);
            Vector3 disVector = new Vector3(0.0f, 0.0f, -distance);
            Vector3 position = rotation * disVector + target.transform.position;
            //adjust the camera
            if (needDamping)
            {
                transform.rotation = Quaternion.Lerp(transform.rotation, rotation, Time.deltaTime * damping);
                transform.position = Vector3.Lerp(transform.position, position, Time.deltaTime * damping);
            }
            else
            {
                transform.rotation = rotation;
                transform.position = position;
            }   
}
/// <summary>
/// 旋转角度的控制
/// </summary>
/// <param name="angle">旋转的角度</param>
/// <param name="min">最小角度</param>
///【文章来源：新加坡服务 欢迎留下您的宝贵建议】 <param name="max">最大角度</param>
/// <returns></returns>
static float ClampAngle(float angle, float min, float max)
{
    if (angle < -360)
        angle += 360;
    if (angle > 360)
        angle -= 360;
    return Mathf.Clamp(angle, min, max);
}
void MoveCameraToTarget()
{
    if (target != null)
    {
        Camera2.LookAt(target.transform);
        Camera2.position = Vector3.MoveTowards(Camera2.position, target.transform.position, 5 * Time.deltaTime);
        dis = Vector3.Distance(Camera2.transform.position, target.transform.position);
        if (dis < 1.5f)
        {
            Camr = Camera2Rotation.Open;
            CancelInvoke();
        }
    }
}

以上为个人经验，希望能给大家一个参考，也希望大家多多支持海外IDC网。如有错误或未考虑完全的地方，望不吝赐教。

【转自：美国服务器】