Your real question is: what state am I a resident of, for tax purposes.
The answer is not simple and depends on more details. As @xmasbaby0 suggested, it also depends on who aggressive the NYS Department of Taxation and Finance wants to get.
In general, you are still a resident of the state you lived in prior to going to sea, unless you have taken concrete steps to change it (drivers license, car registration, voting registration etc).
