title: Three.js Rotate camera around object (which may move)
body: <p>I have a camera that moves in a few different ways in the scene. The camera should rotate around a target position. In my case, this is a point on a mesh that the user has targeted. Because the camera usually doesn't require moving relative to this point, I was not able to use the pivot idea here: <a href="https://github.com/mrdoob/three.js/issues/1830">https://github.com/mrdoob/three.js/issues/1830</a>. My current solution uses the following code:</p>
  
  <pre><code>var rotationY = new THREE.Matrix4();
  var rotationX = new THREE.Matrix4();
  var translation = new THREE.Matrix4();
  var translationInverse = new THREE.Matrix4();
  var matrix = new THREE.Matrix4();
  function rotateCameraAroundObject(dx, dy, target) {  
      // collect up and right vectors from camera perspective
      camComponents.up = rotateVectorForObject(new THREE.Vector3(0,1,0), camera.matrixWorld);
      camComponents.right = rotateVectorForObject(new THREE.Vector3(1,0,0), camera.matrixWorld);
  
      matrix.identity();
  
      rotationX.makeRotationAxis(camComponents.right, -dx);
      rotationY.makeRotationAxis(camComponents.up, -dy);
      translation.makeTranslation(
          target.position.x - camera.position.x,
          target.position.y - camera.position.y,
          target.position.z - camera.position.z);
      translationInverse.getInverse(translation);
  
      matrix.multiply(translation).multiply(rotationY).multiply(rotationX).multiply(translationInverse);
      camera.applyMatrix(matrix);
      camera.lookAt(target.position); 
  }
  </code></pre>
  
  <p>The issue is that we do not want to use lookAt, because of the reorientation. We want to be able to remove that line. </p>
  
  <p>If we use the code above without lookAt, we rotate around the point but we do not look at the point. My understanding is that my method should rotate the camera's view as much as the camera itself is rotate, but instead the camera is rotated only a small amount. Could anyone help me understand what's wrong?</p>
  
  <p>EDIT: Cleaned up the original post and code to hopefully clarify my question. </p>
  
  <p>My thinking is that I can translate to the origin (my target position), rotate my desired amount, and then translate back to the beginning position. Because of the rotation, I expect to be in a new position looking at the origin.</p>
  
  <p>In fact, I'm testing it now without the translation matrices being used, so the matrix multiplication line is:</p>
  
  <pre><code>matrix.multiply(rotationY).multiply(rotationX);
  </code></pre>
  
  <p>and it seems to be behaving the same. Thanks for all the help so far!</p>
  
  <p>ONE MORE THING! A part of the problem is that when the camera behaves badly close to the north or south poles. I am looking for a 'free roaming' sort of feel.  </p>