1. Thickness of rings around Saturn: Saturn's rings are incredibly thin, with a thickness of only about 30 feet (10 meters) on average. This is the smallest dimension.

2. Moon: Moons come in various sizes, but even the largest moon in our solar system, Ganymede (Jupiter's moon), is much smaller than the diameter of Jupiter's orbit.

3. Diameter of Jupiter's orbit: The diameter of Jupiter's orbit around the Sun is enormous, spanning hundreds of millions of kilometers. This is the largest dimension.

So, the final order from smallest to largest is:

1. Thickness of rings around Saturn

2. Moon

3. Diameter of Jupiter's orbit