A vacancy in the office of president or vice president/secretary shall be filled for the unexpired term in the same manner as the original election, at the next succeeding meeting of the senate following the occurrence of the vacancy. In the interim, the executive committee shall elect one of its members to serve in an acting capacity until the vacancy is filled.
N.Y. Comp. Codes R. & Regs. Tit. 8 § 331.10