On or before the 15th day of January in each calendar year, the members of the Council shall meet at the Council Chambers for the purpose of organization. At such meeting, the Council shall elect one of its members thereof as President Pro Tempore of Council, to serve until his successor shall have been elected. In the event the President Pro Tempore of Council ceases to be a member thereof or succeeds to the office of Mayor-President of Council, the Council shall elect another of its members to serve as President Pro Tempore until another President Pro Tempore is elected in the manner hereinbefore provided. The Council may organize as the first order of business at its first regular Council meeting in the month of January pursuant to Section 3.09 of this Charter, providing the same shall occur within the first fifteen days of said month as hereinbefore provided.