But there was only one transformation, from geocentric to heliocentric, and there was nothing cyclical about it.
The geocentric model was consistent with planetary parallax and was assumed to be the reason why no stellar parallax was observed.
It was the belief in the geocentric reality of the observable world, unchanging and immobile.
It is geocentric and globally consistent within 1 m.
A geocentric frame is useful for many everyday activities and most laboratory experiments, but is a less appropriate choice for solar-system mechanics and space travel.
These critics may view the homocentric view as not only geocentric but short-sighted, and tending to favour human interests to the detriment of ecological systems.
The geocentric model, consistent with planetary parallax, was assumed to be an explanation for the unobservability of the parallel phenomenon, stellar parallax.
These geocentric ellipsoids are usually within 100m of the geoid.