Shemini Atzeret is a Jewish holiday. It is celebrated on the 22nd day of the Hebrew month of Tishrei in the Land of Israel, and on the 22nd and 23rd outside the Land, usually coinciding with late September or early October.
Simchat Torah or Simhat Torah is a Jewish holiday that celebrates and marks the conclusion of the annual cycle of public Torah readings, and the beginning of a new cycle.