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by teraflop 327 days ago
> "The retrograde orbital plane... of 3I/ATLAS around the Sun lies within 5 degrees of that of Earth... The likelihood for that coincidence out of all random orientations is 0.2%." Not sure where he comes up with 0.2%.

This part of the calculation, at least, is basically correct. The orientation of a plane in space is defined by its normal vector, so the right way to look at probabilities is in terms of solid angle. The normal of 3I/ATLAS's orbit falls within a cone around Earth's normal vector, having a half-angle of 5 degrees, and that cone's solid angle occupies about 0.2% of the full sphere.

Of course, this is only the chance of a retrograde alignment. Presumably, if the comet's orbit was prograde aligned with the Earth's to within 5 degrees, Loeb would be making exactly the same claim. So really, the relevant probability is 0.4%.

Nevertheless, I agree that the article is basically just a bunch of cherry-picked probabilities and insinuations that don't add up to much.

Also:

> "the brightness of 3I/ATLAS implies an object that is ~20 kilometers in diameter (for a typical albedo of ~5%), too large for an interstellar asteroid."

But to justify this, Loeb cites his own work showing that the object is either a large asteroid, or a comet with a small nucleus. And then he seems to have looked at some earlier spectra and jumped to the conclusion that 3I/ATLAS couldn't be a comet, so it must be a large asteroid. But of course, follow-up observations have debunked this point and clearly shown it to be a comet.

1 comments

I think there's also a sampling bias here? ATLAS, the survey that discovered the comet, is specifically looking for potential Earth impactors. One assumes that would involve looking close to Earth's own orbital plane.