Some beginner tricks this time. Suns and orbits.

A sun is when the diabolo circles around both sticks, in a clock-like fashion.

A clock-wise sun.

Swing the diabolo to the left over both sticks, now, the string should be crossed over. To undo this, do an anti-clock-wise swing back to the right.

 An orbit is where the diabolo jumps from left to right on the string.

An open orbit

Jump the diabolo, slightly tossing it over to the right, catch it with the right half of the string. Repeat.

I'll add a video as soon as my producer/director/cameraman/brother can be bothered to film.

 Keep practising.