This version of a half turn remount is a basic 'tap turn'. Swing back towards the platform (facing it). Place your feet on it and push your hips up, twisting your body so you take the platform support on your left with your right hand (or vice-versa). Let go of the bar and continue the twist until your are standing on the platform facing out again. This is the easiest of the two methods.
You can find out more about this trick in my books:
Thanks to Fly'n Fit Trapeze School in Japan for providing a video for this page.