This video shows the motion of Venus in a geocentric coordinate system. You can see how its trajectory looks like in space relative to the Earth.
In the geocentric system, the motion of Venus around the Sun is superimposed on the motion of the Earth in its orbit. Therefore, its trajectory relative to the Earth looks loopy. The orbit of Venus and the orbit of the Earth are very close to circular. But the orbit of Venus is noticeably tilted towards the Earth orbit. The angle of inclination is more than three degrees.
It is interesting that the Earth and Venus move around the Sun in resonance. While the Earth makes 8 revolutions around the Sun, Venus manages to make 13. And this is not a coincidence. There is a very weak gravitational interaction between the two planets. But since it has been operating for many hundreds of millions of years, the orbits of Earth and Venus have gradually synchronized.
Due to the resonance, the trajectory of Venus in the geocentric system is closed over an eight-year interval. Thus, its location relative to the Earth practically coincides with its location eight years ago. Due to the small but noticeable inclination of Venus orbit, its geocentric trajectory does not lie in the same plane. The video clearly shows this.
Modeling and rendering were performed by author of this publication using own software. The calculations took into account the mutual influence of the Sun, all the planets of the Solar System and the Moon on each other. Relativistic effects were also taken into account in the calculation.
The track Frost Waltz (Alternate) by Kevin MacLeod sounds in this video. This track was not changed. CC BY 3.0 DEED Attribution 3.0 Unported license.
