Preview of Finished Sketch

The pink circles represent the orbit of Venus.
The aqua circles represent the orbit of Earth.

Venus takes 225 Earth days to orbit the Sun
whereas Earth takes 365 days.
So the angular speed of Venus is about 1.6 times Earth's.

In this model the ratio is reduced to 1.5
so that Venus completes 3 orbits in the time Earth completes 2.
The model is stopped after that.

A yellow line connects the two planets in the model.
Its length changes as the planets move.

The model displays cumulative shots of the line and planets.