I was inspired to open this thread after reading these thoughts posted by our member Greg in this other forum thread :
In defense of Galileo, at which time science was effectively ‘turned on its head,’ it didn’t make much sense to think of a gigantic Sun star circling a tiny dwarf Earth, especially after the discovery of Jupiter’s Moons and the phases of Venus by Galileo tended to demonstrate smaller objects orbit larger objects.
Then we must conclude that Tycho Brahe’s system looked bizarre, maybe even convoluted, all with the small planets (except the Moon) orbiting the gigantic Sun, and the Gigantic sun orbiting the dwarf Earth.
(…)
I am just saying this in trying to understand the conceptual evolution of modern astronomy: perhaps there is a rational? a logic? and if there is a logic then perhaps it could be more convincing for Copernicans to accept a competing model of our immediate universe?
Indeed, the question of ‘logic’ (a word which sadly appears to be, for some reason, increasingly looked down upon in our era) should be - in my view - paramount to any scientific discourse. As I see it, arguments purported to be grounded in sound and superior logic should observe the following criteria:
Any proposed scientific theory should strive to present evidence pointing to a ‘prevailing logic’. By this, I mean to say the sort of evidence which provides - ‘statistically speaking’ - the most plausible and least exceptionalistic hypotheses, on the basis of what can be empirically observed and determined through the means and technology available in any given epoch. In other words, we may say that the proverbial “Occam’s razor” principle comes into play when deciding between competing configurations of our Solar System.
When Tycho Brahe died in 1601, no one had ever observed a single binary star system in our skies. His own geo-heliocentric model though, featured the orbits of the Sun and Mars intersecting - just like all the binary systems that have been discovered since then. Brahe was promptly ridiculed by most of his contemporaries who, out of sheer ignorance, scoffingly objected that the Sun and Mars must therefore - sooner or later - crash into each other.
Fast forward to 2023: we now know that the vast majority (or perhaps all) of the stars in our skies have a smaller companion, the two of them revolving in intersecting orbits around a common barycenter. Yet, and in spite of what must be the most formidable paradigm shift in recent astronomy history, the Sun is still believed to be a so-called single star (with no ‘local orbit’ of its own). Amazingly enough, the public awareness of this major paradigm shift is almost ZERO - and only a handful of ‘alternative’ astronomers are currently debating the glaring oddity that our Sun would NOT have a binary companion. On the other hand, ‘mainstream’ astronomers are finally waking up to the ‘logically absurd’ notion that our Solar System would be “a freak in space” !
Source: We've Never Found Anything Like The Solar System. Is It a Freak in Space? : ScienceAlert
Indeed, the heliocentric model stands out like a sore thumb in our universe!
Since we have now discovered that ALL the stars in our cosmic neighbourhood are ‘locked’ in binary systems, THIS is what our cosmic neighbourhood would look like if the Copernican / heliocentric model were true… (my below graphic is just a bit of a ‘teaser’ aimed at activating your logical neurons):
You may now be asking yourselves: “is it true that the vast majority of the stars in our skies have now been determined to be locked in binary systems?” Well, this will depend upon which modern astronomy data & literature you may choose to believe. Back in 1985, the major expert in binary stars Wulff Heinz declared that at least 85% of them are. Since then, however, modern astronomers have continuously kept discovering new binary pairs - by the thousands, and with no end in sight. Here’s from a 2021 article at the Berkeley Science website:
Binary stars are all around us, new map of solar neighborhood shows
Now, what you need to know is that most of the small companions of larger stars are deemed to be so-called “red dwarfs”. Well, the dim red dwarfs (by far the most common stars in our universe) are ALL invisible to the naked eye - with the plausible exception of Mars which, of course, is the only red “planet” in our skies. Hence, if we haven’t yet determined that a full 100% of the stars are locked in binary systems, this may logically go to explain why this is the case: the remaining 10% or 5% of small binary companions are simply too dim to be detected - even for our best telescopes, Of course, if (or rather when, imo) it will eventually be determined that 100% of the stars in our skies are binary, logic will dictate that the Tychos is the only existing model that makes cosmological sense.
As I first suggested - many years ago - that Mars is the binary companion of the Sun, I was promptly ridiculed by some internet commenters whose knee-jerk reaction would go something like this: “Preposterous! Mars is far too small to be the Sun’s companion! It would totally violate Newtonian physics!!!”
Well, at the time I had to admit that their ‘logic’ was hard to refute. That is, until the day I realized that the diameter of Mars was 205 times smaller than the Sun - and that the diameter of Sirius B is 205 times smaller than Sirius A (the very brightest star in our skies). What a coincidence…
Later on, I also found out that the observed configuration of the Sirius binary system is virtually IDENTICAL to that of the Sun-Mars binary system - in almost every aspect ! (Read about the probable existence of the visually elusive “Sirius C” in this French 1994 study. Yes, Sirius C may well be the “twin” of planet Earth).
For more details regarding the Sirius system go to Chapter 6 of my book
As for the period in which Sirius A & B revolve around each other (estimated to be about 50 years), it still isn’t known whether the Sirius A & B revolutions are locked at a 2:1 ratio (i.e. Sirius B revolving in 50 years - with Sirius A revolving in 25 years) - just like Mars and the Sun. In any case, binary stars have been observed to revolve around each other in infinitely different ways and periods (some of them only in a few hours !).
I would thus rest my case and submit that the TYCHOS model constitutes the most cosmological theory ever devised - given what we know TODAY. If the concept of ‘logic’ still has any meaning in this world of ours, you may agree that the TYCHOS neatly meets its basic criteria. 
Feel free to comment on this post of mine - and if you wish, challenge its logical foundations.
Mon Dieu!