There are a few cameras in Bryce. They are bound to various keys or can be selected from the little menu shows (image 1).
If you are using the directors camera, that might make it seem like you are rotating around the scene.
The perspective camera - (short cut key “1”) - may suit you better and has the advantage that it shows up in the wireframe view (image 2).
Also the dotted grey lines extending from the wireframe camera offer a guide as to the setting of the field of view.
Also, since as David pointed out that the perspective camera is selectable, when using it you can also move the camera’s position using the edit option controls of rotate and reposition indicated in the first picture. As for zooming in and out this can be done with any camera by using the zoom controls indicated in the second picture.
Click thumbnail to see full-size image