Moving out of Kentucky is easy. Stopping Kentucky taxes is a different act, and it happens on paper: Kentucky keeps treating you as a resident until the record shows otherwise.
On the burden of showing otherwise: A domicile persists until a new one is acquired, and temporary moves do not constitute a change — so the person asserting the change supplies the facts for each element. Individuals previously domiciled in Kentucky who reside abroad are presumed residents unless they show abandonment of the Kentucky domicile.
Two tests decide it. Cross 183 days with a Kentucky abode still available and you are taxed as a resident regardless of where you claim to live — and see day-counting rules. Or keep the day count clean but leave the life-pattern evidence pointing at Kentucky, and domicile does the same work. Everything on this page exists to answer one question: if DOR asks, does your record hold?