I hope this isn't a really stupid question, but what's the relationship
between encoder resolution and following error?

For example, the machine I'm building currently has a linear encoder of 250
cycles per inch, or 1000 counts. I assume this won't allow me to achieve
0.001 following error. And I understand FE is also affected by machine
rigidity, encoder noise, and other factors.

Is there a formula that would tell me what FE would be reasonably achievable
with my machine?

If I install an encoder with double the resolution, will that cut my FE in
half?

Neil
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