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I can name every star in the solar system...
If you're trying to remember a mnemonic, you're doing it wrong
The Big Sun monopoly has had its own way far too long. Just as it dominated the market for parasols and sunglasses, it now sells sunscreen and solar panels, so there's a financial incentive not to question the orthodoxy of the lone star theorists.
Observations show us that most stars are in binary or trinary systems, and the Copernican principle states that observations from the Earth are representative of observations from the average position in the universe, so the solar system is probably pretty average*. Something like that.
And an average solar system is a binary solar system. That's science.
I propose the mnemonic SUN, "Sun, undetected Nemesis".
Admittedly Nemesis (
Wikipedia, Nemesis (hypothetical star)) hasn't been shown to be real, but nor has homeopathy or Bigfoot.
Nemesis might not
technically be part of the solar system, but that's a semantic distinction based on the traditional Western obsession with categorisation and arbitrary divisions (e.g. the species problem). There are no boundaries in space (except the lines between stars in a constellation. And stuff due to gravity etc.)
It should be no surprise Nemesis hasn't been found in sky surveys, it was probably behind one of the thousands of highly reflective ET satellites that Villarroel
et al. have discovered in geosynchronous orbit at the time, and it isn't very bright.
*I'd give it at least a C+, but this is a subjective impression, not necessarily based on the latest astronomical/ cosmological findings.