The sun orbits the Earth in a helical spiral. The sun is called Helios in Greek. Either the sun is called Helios because it has a helical orbit, or helices are called helices because they mimic the motion of the sun - Helios.
Helical Helios
Betelgeuse Is Neither as Far Nor as Large as We Thought
In the wake of recent fluctuations in Betelgeuse's brightness, astronomers have rigorously examined the star's vital statistics, and come up with a bit of a surprise.
Betelgeuse is 25 percent closer than scientists thought
Scientists studying the star Betelgeuse have determined that it’s actually roughly 25% closer than previous estimates.
Betelgeuse, Betelgeuse, Betelgeuse
Objects in space may be closer than they appear. Betelgeuse isn't only around 25% closer to Earth than previously thought, but it’s also considerably smaller. Those aren't our words, they're from the popular science press (SciPop).
Matty’s Parallax
When we change our assumption from Heliocentric to Geocentrospheric it has an effect on the distance to stellar objects. This is because of the way that stellar parallax works.
If it Looks Like a Galaxy
Galaxies, in terms of the scientific definition, don't exist. The things that we call galaxies are ULM (unknown luminous matter), which consists of predominantly CFM (crystalline firmament material).
Switching Between Helio and Geo Centered Models
The best illustration of how we can switch back and forth between different frames of reference, such as heliocentric and Geocentrospheric, is an interactive guide to the flight path of the Voyagers.
Eccentricity
Eccentricity is due to variation in the orbital radius of the Sun, not variation in the Earth-sun radial distance. The solar orbit is helical, origin of its Greek name "Helios".
Earth-sun Radius
Contrary to popular opinion, the Earth doesn't have an elliptical orbit of the sun. The Earth-sun radius is, for all practical purposes, constant.
October 17th
Assuming Heliocentricity changes geometry in a way that makes it seem as if the stars are further away than they really are. As such, we have not measured the distance to the stars.