Preheat your oven to 350 degrees Fahrenheit.
In a big bowl, beat together the softened butter and sugar until it's light and fluffy, which takes about 4 minutes.
Add the eggs, sour cream, and orange zest to the bowl and mix everything together.
Stir in the flour, cornstarch, baking powder, and salt.
Let the dough chill in the refrigerator for at least 30 minutes.
Roll the dough into balls and drop them onto cookie sheets.
Bake for 11-14 minutes.