Helical Helios

Earth-sun radial distance vs. the Sun's orbital radius.

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.

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".

October 17th

The 2 AU inserted into the geometry by assuming Heliocentricity makes it seem that the stars are much further away than they really are. As such we have not measured the distance to the stars.