A years-long, off-the-field showdown between the Baltimore Orioles and Washington Nationals over millions of dollars in television rights fees continued into the New York Court of Appeals on Tuesday.

The legal battle centers on a determination by Judge Lawrence K. Marks in a Manhattan trial court in 2015 that held the arbitration process by Major League Baseball’s Revenue Sharing Definitions Committee, which had decided in favor of the Nationals, was “evidently partial.”