Preheat the oven to 175 C. Grease a 9-inch springform pan and set aside.
In a large bowl, sift the flour, baking powder, baking soda and salt. Set aside.
In a mixing bowl, beat the butter, sugar and orange zest with a hand mixer on low-medium speed till light and fluffy, about 2 minutes. Add the eggs and vanilla and beat on low speed till combined.
Add a few tablespoons of the flour mixture to stabilise the batter, then stir in the yoghurt and orange juice. The flour prevents the batter from splitting when the citric acid goes in.
Now slowly add the rest of the flour mixture, and fold with a spatula or beat on low speed with the hand mixer till you have a smooth batter but do not over-mix. The batter is fairly thick.
Spread the batter in the prepared pan, smoothening the top. Bake for 35 to 40 minutes, covering the top loosely with foil if it's browning too quickly. Bake until the top is golden-brown, and a toothpick comes out clean (I usually start checking at about 30 mins). This cake doesn't dome so you'll have a fairly flat surface for frosting.
Allow the cake to cool in the pan for about 30 minutes, then remove the sides of the pan and let it cool completely to room temperature.
In the meantime, make the frosting. Add the white chocolate chips to a bowl. Combine the cream and orange zest in a small saucepan and heat on low until hot and barely simmering.
Pour the cream over the chocolate chips and set aside for about 5 minutes, uncovered. Then stir slowly with a silicone spatula to melt the chips completely and you'll have a smooth, slightly runny ganache. Let it cool further for about 20 minutes. At this point you can refrigerate till it reaches your desired thickness if you'd prefer not to whip it. If you do plan to whip it (recommended!), refrigerate for at least 1 hour.
Use a hand mixer on medium-high speed to whip the ganache till it forms soft, rounded peaks. The white chocolate creates a slightly more sticky, marshmallow-y consistency so I found whipping to fully stiff peaks took more work, but it's perfectly light and airy at the soft peak stage too. The colour of the ganache will change from cream-ish to white once it's been whipped. (see photos below)
Spread the ganache all over the cooled cake, decorate with more orange zest and if you'd like the frosting to set a bit, refrigerate for 20 minutes. Otherwise, slice immediately and dig in!
Store in the fridge for 4 to 5 days and in the freezer for a couple of weeks. Bring to room temperature before eating. Happy baking!