Using a vegetable peeler, remove peel (orange part only) from orange in strips. Place orange peel in a heavy large pot (reserve orange for another use). Add apple cider, golden brown sugar, lemon juice, cloves, allspice, cardamom pods, and cinnamon sticks to pot. Bring to a boil, stirring until sugar dissolves. Reduce heat to medium-low; simmer until cider mixture is reduced to a generous 8 cups, about 40 minutes. Strain cider into a medium pot.