https://sol24.net/data/html/SOHO/C3/96H/VIDEO/

The only means to account for retrograde motion in terms of the faster-moving Venus and Mercury is to organise a framework where their back-and-forth motion around our parent star is as close as possible to the analogy where Jupiter's moons run back-and-forth around their parent planet-

https://www.youtube.com/watch?v=FcrBAuLBXag

https://www.youtube.com/watch?v=w2uCtot1aDg

There is so much irrelevance out there taking the name of astronomy that only some people, albeit very few, have a sense of the importance of the partitioning of direct/retrograde motions by relative motions seen from Earth and through different frameworks that account for them.

Such a delightful sight to see Mercury overtake the Earth in retrograde motion or, in contemporary language, Mercury moves faster than the annual change in the position of the stars thereby giving the same type of appearance as the slower-moving planets seen from Earth-

https://sol24.net/data/html/SOHO/C3/96H/VIDEO/

Simple, effective, and thoroughly enjoyable.

It complements what the original Sun-centred astronomers did while modifying their perspectives as seen from a moving Earth using alternative frameworks-

"Now what is said here of Jupiter is to be understood of Saturn and Mars also. In Saturn these retrogressions are somewhat more frequent than in Jupiter, because its motion is slower than Jupiter's, so that the Earth overtakes it in a shorter time. In Mars they are rarer, its motion being faster than that of Jupiter, so that the Earth spends more time in catching up with it. Next, as to Venus and Mercury, whose circles are included within that of the Earth, stoppings and retrograde motions appear in them also, due not to any motion that really exists in them, but to the annual motion of the Earth. This is acutely demonstrated by Copernicus . . ." 1632, Dialogue Concerning the Two Chief World Systems