Preheat the oven to 350 degrees F. Grease and flour a tube pan.
Sift together the flour, baking powder, baking soda, and salt together and set aside.
Cream the 1 cup of butter with the 2 cups of sugar
Add the eggs one at a time. Add the vanilla and mix in. Mix in the orange zest.
Combine the milk and the 1/3 cup of orange juice together
Add the flour mixture alternating with the milk and orange juice, ending with the flour.
Spread the batter into the prepared tube pan. Bake for 50 to 55 minutes or until a wooden pick inserted into the cake comes out clean.
When the cake is about done make the glaze. In a small saucepan combine the 1/3 cup orange juice, 1 tablespoon butter, and 1/4 cup sugar. Bring to a boil over medium heat and stir until the sugar is dissolved.
Once the cake is removed from the oven pour the glaze over the hot cake. Let the cake cool completely in the pan and remove.
Place the glazed side down on a cake plate.
Make the icing. Gradually add 3 to 4 tablespoons of orange juice to the powdered sugar until the right consistency for drizzling. Beat until smooth and drizzle over the cooled cake.