Unless the Georgia court has made the discretionary determined that Georgia is an inconvenient forum and that Arizona is a more appropriate forum, you are correct that once an initial custody determination has been properly made by a court in Georgia, that the Georgia court retains exclusive, continuing jurisdiction under the UCCJEA to hear and decide all requests to modify that order so long as the child or at least one of the parents still presently resides in Georgia. Thus, the fact that Georgia is no longer the child's home state will not ordinarily deprive the Georgia court of its exclusive, continuing jurisdiction to modify the order. That is a general rule. There may be some specific facts in your case that would require a different result, but you have not included enough information in your question to determine with certainty whether that general rule controls in your situation. Because these jurisdictional questions are quite complex, you would be well advised to consult with a qualified Georgia family law attorney who is familiar with how the Uniform Child Custody Jurisdiction and Enforcement Act (the UCCJEA) works in modification cases.
You've asked this question elsewheer on AVVO with more information (that the child has been in Arizona for a couple years and that you also are involved in a Georgia contempt case.
The answer hasn't changed. Under the more detailed facts you gave, the answer is no.
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You need to review your prior court order and your current situation with an experienced custody attorney. The UCCJEA does provide for continuing exclusive jurisdiction in your situation.
I am exclusively a family law attorney, practicing primarily in the metro Atlanta, Georgia trial courts. However, I handle appeals from anywhere in Georgia.