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How old? I'd imagine by knowing the distance. They can determine how long it took the light of the supernova to get to us.
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If we want to know how long ago a supernova happened, there are a
few methods. In a few cases, we have records of humans witnessing the supernova on a certain date -- so that's easy! Second, we can take pictures of the remains of the star (like the Crab Nebula) several years apart and see the material expanding outward. We then know how fast it is expanding outward and just calculate how long ago the material would have been at the central point. Then we know how long ago the supernova happened. Another method is to measure how far away a supernova remnant is (this is hard), measure how far across it is, and use the Doppler shift to tell us at what speed the material is moving. Then we know how far the material has travelled and the speed at which it has travelled, so we can calculate how long it took to traverse the distance. Of course, there are complications to these methods, but you probably don't care to know about those. ![]()
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Before the final cataclysmic core collapse into a neutron star, is the core of a type-II-supernova-to-be already electron degenerate? I.e. is it already in the same state of matter as a white dwarf?
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Speaking of which -- are there any Population II stars (what you young whippersnappers nowadays call "halo population" stars, you know, the metal-poor ones) that are known to have gone supernova? My understanding is that a main sequence spectral class A or B star that's metal poor can last a lot longer than one that's metal rich, due to its lack of access to the CNO cycle.
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As you probably can tell I'm a bit confused...
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models include a lot of physics: details of nuclear fusion, how light is transported inside the star, convection (or "boiling") inside the star, the chemical composition of the star, the mass of the star, how the star loses mass over its life, and other such things. These models are then matched to observed objects (the sun being the best one, as we have been able to test model predictions against the real thing).
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