Working with the "Track to" Constraint of Cameras

Hello Blender Community,

Apologies firstly for my ignorance (as I am a relatively new user with Blender). I am currently attempting to have a camera rotate about 60 degrees around a static object. I have created an empty on the object and have the camera set to track that empty. I translate the camera on the x axis back and forth three Blender units, but the camera does not seem to be holding the empty in focus. How do I have the camera continue to focus directly on the empty, but preserve the translation?

Thanks in advance for any advice or help.