Peel and halve apples; remove stem ends. Core. (You can remove cores easily with a melon ball scoop.)
Combine sugar and water in a large skillet. Bring to boil. Add lemon slices, cloves, orange peel and cinnamon, then apples. Simmer, uncovered, over moderate heat until apples are tender but still firm, about 15 minutes. Turn apples once during cooking.