Apparently, Betelgeuse is 427 light years away from earth. How was this figure arrived at? After all, It’s not like we can use a tape measure :). How is the distance between the earth and the stars calculated?
[sub]P.S. If possible, I would appreciate it if all explanations were kept simple (like Ladybird simple) as I am a complete mathematical moron. Thanks[/sub]
Parallax. Extremely simplified, you look at the star from an observatory on one side of the Earth, and again from an observatory on the other side, and the amount of change in the star’s apparent position can tell you how far away it is.
In the case of the closer stars, it was done by measuring parallax. You measure the position of a star as accurately as possible, then do it again six months later when the Earth is at the opposite point of its orbit (186 million miles away). The star will have shifted very slightly against the background of more distant stars, and you can then work out how far away it is by trigonometry.
Distances to more distant objects such globular clusters and closer galaxies can be determined by figuring out the true luminosity of Cepheid variables.
For really distant galaxies, the redshift due to the Doppler effect is proportional to distance and can be used to estimate it.
For stars too far away to use the parallax method, you can judge distances to certain kinds of stars which have predictable brightnesses. If you know how much light a star emits, you can measure how bright it appears from Earth. Then you can calculate how far away it is.
“Type Ia” supernovas have very predictable brightnesses too, and can be used to judge distances to very faraway galaxies.
I’ll add that for stars too distant to use parallax, it can be done by comparing their brightness to the brightness of comparable stars that we’re reasonably sure are the same size and temperature. (which would mean that we can work out their relative distance by the inverse-square law.)
Having just re-read the OP, I ought to mention that Betelgeuse is too far away for its parallax to be measurable.
I think the estimates for stars as far away as Betelgeuse are very unreliable. They’re mostly based on theoretical calculations of how bright a star is in absolute terms. If you know how much light a star is emitting, and you know how bright it appears to us on Earth, you can get some idea of how far away it is. But the margin for error is quite big.
Close, but not quite. Stars don’t show visible parallax shifts between one side of the earth and the other. What you do is, you observe the star’s position, then you do the same thing six months later. Even so, the shifts are tiny even for the nearest stars- Alpha Centauri, one of the closest stars, shifts position only by one second of arc (the width of a full moon is 30 minutes of arc, or half a degree).
I remember once having a conversation with a Fundamentalist that believed the 6000 year old Earth/Universe dogma.
Me: If so, then we would only be able to see stars at 6000 light years or closer.
Them: Right. They’re only that far away!
Me: Huh? There’s stuff billions of LY away.
Them: They can’t really tell because paralax only can be done with the diameter of the Earth; less than 8000 miles. Not enough to measure more than 6000 years away
Me: What about the diameter of the Earths orbit around the Sun. You’d have that diameter and twice the Earths combined. And what about Red Shift/Doppler Effect?
OK, then that’s how they tell how far away they are, and I can figure out how they tell how big the stars are, and how hot they are, and how fast they are moving, and all that, but how the hell do they find out what the stars names are?
True. Why is that, exactly? The Arabs were reasonably advanced practical astronomers, but they were neither the first nor the most advanced of that art.
However, they were much more advanced than Europeans during the early Renaissance. Islamic civilization had preserved a lot of the classical learning on astronomy that had been lost in the west, and also had made very significant strides on its own. When Europeans began to be interested in scientific knowledge again, much of it was picked up through Islamic (Arabic) scholars, especially via Cordoba in Spain.