Put the sugar, a cup of water, and 3/4 of the apple peel into a medium saucepan. Bring to a boil.

Continue to heat, stirring occasionally, for around 5 minutes until the sugar has dissolved.

Pour the syrup into a medium bowl over an ice bath and stand, stirring from time to time, until cool.

Strain through a fine sieve into another bowl and throw away any solids.

Cut the apple into chunks and press it through an electric juicer into a small bowl.

Drain through a fine sieve into another bowl and throw away any solids.

Fill a cocktail shaker with ice and pour in the vodka, 2 ounces of the syrup, and 1/3 cup of the apple juice.

Shake well then divide between 2 martini glasses. Garnish with remaining apple strips if required.