Hi Carlos,
As the other answers address, the priority value of 0 suggests that you never want that node to become primary in any case. However in your use case, you would want to make sure you have a majority when electing a new primary. In your current topology, with only two nodes in the second data center, a majority cannot be achieved if the NY data center goes down. See also Replica Set: fault tolerance. You could do something like this however:
Priority 10: mongod1, mongod2, mongod3 - NYC, NYPriority 1: mongod4, mongod5, mongod6 - Atlanta, GA
arbiter - hosted on AWS (or the cloud flavor of your choosing somewhere else not in Atlanta or NY).
An arbiter does not hold any data, but is allowed a vote in an election for primary. The arbiters default priority is 1 but it can never be elected primary. But an arbiter does allow you to get a majority if either of your datacenters in NY or GA goes down. Another optional topology is adding two additional host arbiters to your current setup:
Priority 10: mongod1, mongod2, mongod3 - NYC, NY
Priority 1: mongod4, mongod5 - Atlanta, GA
arbiter1, arbiter2 - hosted on AWS (or the cloud flavor of your choosing somewhere else not in Atlanta or NYC).
Hope that helps. Let me know if you have any other questions!
Aly