If we look down upon the Solar System in a geocentric model, the Sun and all the planets will be orbiting the Earth. In this model, the Earth is at the center of the universe. Let us focus on two celestial bodies other than Earth: Sun and Venus. If we assume the Earth is fixed, as the Sun orbits the Earth 8 times, Venus will do so 13 times. This will create a beautiful diagram known as the Pentagram of Venus (in reality, the ratio is 8:13.004 and the non-integer coefficient will create a wobble). Matthew Henderson posted this simplified image of the cosmic dance of Venus and Earth on his Tumblr webpage:
EDIT. The image above shows the dance of Venus from a heliocentric perspective, not a geocentric one as I explained. I missed it because I had several images of both heliocentric and geocentric Venus Pentagram open in my browser and I apparently copied the wrong one. Thanks to Keks Dose for mentioning that. Here is the link to an awesome video that shows the dance of Venus with Earth fixed at the center.
I was wondering if I can draw this diagram using TikZ/PGF. I have seen a similar topic on Mathematica Stack Exchange but I want to use LaTeX. I recently found the packages
tikz-planets and it would be cool to use their features if possible. I do not need the animation, any help to create the final static image would be appreciated.