Object disappears with Orthographic lookAt

I have a camera setup at 0,10,0 rotated along x 90 degrees for a top down look. The camera is set to orthographic and I have a follow script that sets the camera position so that a certain object is always centered. The weird thing is that when the object goes beyond the value I set for orthographic size, it no longer gets rendered. So, if I put something like 10 for the orthographic size and the position of the object (and subsequently the camera) goes beyond 10 along x or z, it no longer gets rendered. The camera still follows it, but you can’t see it anymore.

Any ideas?

What you described should work. Orthographic cameras make it hard to tell sometimes that something is wrong with the camera, so try switching to a perspective camera just to see if that can shed some light on your problem.