To begin, chill your mixing bowl and wire beater in the fridge or freezer.
Combine the orange juice, lemon juice, and 3 tablespoons of the sugar in a large bowl. Stir it together and set it aside for now.
Core and peel an apple. Shred the apple with a food processor or grater. Immediately place the shredded apple in the juice mixture and stir it together with a rubber spatula. Repeat with the remaining apples. Set this aside for a moment.
In your chilled mixing bowl, beat the heavy whipping cream until it begins to thicken. Sprinkle in the remaining 3 tablespoons of sugar and the vanilla extract.
Beat the cream until it thickens to where cream is firm enough to hold stiff, unwavering peaks when the beater is lifted from the bowl.
Add the apple mixture to the whipped cream and fold it in with a rubber spatula.