the ancient Egyptians, who thought the sun goes round the earth, could also predict eclipses
That the sun goes round the earth is not more or less right than the converse. It's a construction of the same system in different coordinates and quite valid.
However, the Oval Earth theory is wrong, and you can't predict eclipses from it correctly.
More to the point, arguments like this against knowledge from authority rely on implicitly accepting most such knowledge, and only disputing a few choice examples. In Orwell's story, how do you know about the ancient Egyptians, or what theories the Lord Astronomer espouses, if not from "newspapers and science booklets"? How do you know what astronomical knowledge exists regarding navigation or eclipses? How can you know when eclipses occurred before your birth (to work out cycles)?
If you don't accept the commonly held theories (because you haven't verified them yourself), why should you accept the commonly known facts (without having observed all of them yourself)?
I also don't agree with Orwell that Round Earth theory is "exceptionally elementary information". It really doesn't directly influence the life of the average person in any way; we don't normally make decisions predicated on the truth of that theory outside of a few professions. It's just a very well-known piece of common knowledge, in part because some Flat Earthers still exist who deny it, and due to the related Flat Earth Myth about the Dark Ages.
Relying on expert knowledge is a good way to evaluate claims only the first few times we encounter them. If we act on a piece of knowledge repeatedly, this should allow us to directly confirm or disconfirm it. If this doesn't happen, it's probably a sign that the purported knowledge or theory is just a marker in a political/social/religious game. We know Oval Worlders are the enemy and so our authority figures always affirm the Round World theory, but this doesn't have anything to do with the actual shape of the earth.
That the sun goes round the earth is not more or less right than the converse. It's a construction of the same system in different coordinates and quite valid.
Not if you take "the sun goes round the earth" to be an explanation for the sun's apparent movement in the sky.
This is an excerpt from an article George Orwell wrote in 1946. I will let the text speak for itself.