Here's a 1-page abstract from the 2025 Demysticon conference: https://files.catbox.moe/j8rd0s.pdf

An excerpt from the abstract is below, listing some issues they have with the mainstream heliocentric model, which are presumably resolved elegantly by the Tychos model:

  Anomalies of the Keplerian/heliocentric model include:

  1: whether the Sun has a binary companion,
  2: why only Mercury and Venus have no moons,
  3: why Venus always presents the same face to Earth at its closest approach,
  4: the “anomalous” precession of Mercury’s perihelion, and other aspects of Mercury and Venus,
  5: the cause of the General Precession (Newton’s lunisolar wobble theory is not it, it does not match with observables),
  6: why Mars and Sun exhibit 79-year cycles locked at a 2:1 ratio (and many other “harmonies” found between bodies),
  7: why there is a sidereal diurnal variation of G, in interferometry results, and in the movements of stars,
  8: why sunspot formation location shows a geocentric preference, and more.