Preheat the oven to 350°F (175°C).
In a 9-inch round cake pan, combine the melted butter and brown sugar. Arrange the pineapple slices on top of the sugar mixture, and place a cherry in the center of each pineapple ring.
In a separate bowl, mix together flour, baking powder, and salt.
In another large bowl, beat the softened butter and granulated sugar together until creamy. Beat in the eggs, one at a time, followed by the vanilla extract.
Gradually add the flour mixture to the butter mixture, alternating with the pineapple juice.
Pour the cake batter evenly over the pineapple slices in the cake pan.
Bake for 35-40 minutes, or until a toothpick inserted into the center comes out clean.
Allow the cake to cool for 10 minutes in the pan, then invert onto a serving plate.