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I have an old Simrad Roberton autopilot with a linear drive controlled by a J3000x course computer and an AP11 head unit. The Linear drive, course computer and compass are all fine, but the head units (I have a spare) suffer from the usual problem of switches that don't always work. I have cleaned them with pure lab grade alcohol with little improvement. I remember being told that some other head units are a direct swap and ask if anyone can tell me which ones.
I am not actually such a new member, having posted here before, but failed miserably to log in and had to join again!
The AP22 and the AP21 will also work with your J3000X CPU.