The original article is a dead link.
Fortunately I have a screen shot of a smoking gun quote which illustrates the circular reasoning necessary in the use of stellar parallax to prove heliocentricity.

“If the earth moves around the Sun, then the apparent positions of the stars must change between January and June.”
This is an inductive rationalization of the premise of heliocentricity, not proof of it.
Proofs
Purported Proofs of Heliocentricity
| Phenomena or Individuals | |
| 1 | Aberration of starlight |
| 2 | Aether drag |
| 3 | Angular size of the sun |
| 4 | Aristarchus |
| 5 | Bessel and 61 Cygni |
| 6 | Bradley and Molyneux |
| 7 | Citing incorrect Geocentric models |
| 8 | Copernicus |
| 9 | Coriolis effect |
| 10 | Doppler and the Voyagers |
| 11 | Eclipses |
| 12 | Foucault pendulum |
| 13 | Gravitational assists |
| 14 | Gravity |
| 15 | Keplerโs Laws |
| 16 | Lorentzโ length contraction |
| 17 | Luminiferous aether |
| 18 | Mass of the sun / Newtonian physics |
| 19 | Moons of Jupiter |
| 20 | Phases of Venus |
| 21 | Procession of the equinoxes |
| 22 | Pulsars |
| 23 | Redshift / Universe expansion / Hubble Constant |
| 24 | Relativistic reference frames |
| 25 | Retrograde / relative motion |
| 26 | Sagans |
| 27 | Seasons and weather |
| 28 | Spacecraft |
| 29 | Special relativity |
| 30 | Stellar parallax |
| 31 | Stellar spectroscopy |
| 32 | Transit of the ISS during an eclipse |
| 33 | Transit of Venus |
| 34 | Variation in the sunโs orbital radius |
Salvation
- Call upon the name of Jesus Christ,
- believe in your heart that God raised him from the dead,
- confess your sin.


