Retrograde Motion Is a Geocentric Effect
Planets normally creep eastward against the stars. Several times a year one of them slows, stops, runs backwards for a few weeks or months, stops again, and resumes. That is retrograde motion, and every astrological tradition takes it seriously.
Nothing has reversed.
What is actually happening
Two cars on a motorway, yours in the outside lane, a slower one in the inside. As you draw level and pass it, the slower car appears to slide backwards against the fields beyond, even though it is moving forward the whole time. Pull far enough ahead and it resumes its normal forward drift.
That is the whole mechanism. The Earth travels faster in its orbit than the outer planets do. When it catches and overtakes one, that planet appears to slide backwards against the stars.
The two panels are the same planet over the same months. The path on the left is what Mars does. The loop on the right is what it looks like from a platform that is itself moving faster.
The inner planets do it too
Mercury and Venus are inside the Earth's orbit and move faster, so they do the overtaking. The geometry is reversed and the appearance is the same: as they sweep past between the Earth and the Sun, they run backwards against the stars.
Mercury does this three or four times a year, which is why it is the planet most associated with the phenomenon.
The test
If retrograde motion were a fact about the planet, it would show up wherever you measured from. It does not.
Switch the origin to Heliocentric and every retrograde disappears.
Every planet moves steadily forward around the Sun, always, without exception. The loops are gone — not smoothed out or reduced, but absent, because there was never anything there to reduce. What vanished was the Earth's own motion, which had been mixed into every geocentric position because the observer was standing on it.
The applications encode this directly: a planet can be reported retrograde under the geocentric origin and never under the heliocentric one.
What this does not mean
Two things, and they pull in opposite directions.
It does not make retrograde motion unreal. The appearance is exactly as described, repeatable, predictable to the second, and identical for every observer on Earth. A tradition built on how the sky looks from here is entitled to a phenomenon that is genuinely how the sky looks from here. "Optical illusion" is the applications' own phrase for it, and an illusion that every human being shares and that recurs on schedule is a perfectly solid thing to reason about.
It does mean the effect belongs to the vantage point. Retrograde motion is a statement about the relationship between the Earth and another planet — about overtaking — and not a statement about the other planet alone. Which is a substantial claim in its own right, and arguably a more interesting one.
Why some studies refuse the choice
This is where the principle shows up as a dropdown that will not open.
Studies whose subject is retrograde motion remove the Heliocentric option entirely. Not because the calculation would fail, but because it would succeed and return nothing, forever. There are no stations to find in a frame where nothing stations.
The same reasoning removes Heliocentric from studies of Earth-observed phenomena: lunar phases, which are about how the Moon is lit as seen from here, and heliacal events, which are about when a body first becomes visible in twilight to somebody standing on the ground.
In each case the restriction is the software declining to compute a well-formed question that has no meaning.
What comes next
Three origins, and a clearer sense of what each is answering.
Next: Choosing an Origin.