Pair-instability supernova calculation

In summary, the concept of apparent magnitude depends on both the brightness of the star and its distance from the observer. A usual supernova is 6 billion times brighter than its ancestor star, while a pair-instability supernova is 100 times brighter than a usual supernova, making it 600 billion times brighter than the ancestor star. The apparent magnitude of a pair-instability supernova from an ancestor star with an apparent magnitude of 0 would be -29.5. However, this calculation does not take into account the distance of the supernova from the observer, which would significantly affect its apparent magnitude. This means that even though the pair-instability supernova may be extremely bright, its distance may make it appear much dimmer to an
  • #1
Dinar
4
0
Usual supernova 6 billion times brighter then ancestor star. Pair-instability supernova 100 times brighter then supernova 600 billion times brighter then ancestor star. If ancestor star apparent magnitude is 0 then apparent magnitude of pair-instability supernova from that star is = - 2.5* lg(6*10^11) = -29.5 Is my calculation correct?
 
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  • #2
Yes, it is correct. I assure you, but the concept is not
the apparent magnitude depends upon the distance also. You also need to compare the distance of the ancestor star from you with the distance of supernova from you. Something like this...
Let the distance from you to ancestor star be d, and distance from you to supernova be x.
Then the apparent magnitude will be -2.5*log((6*10^11)*d^2/x^2), since it is inversely proportional to the square of distance.
That is why you are getting such an unusually high magnitude. In fact, higher than the Sun. It is -26.7.
 
  • #3
It's hard to imagine that star located several thousand light Earth from solar system with so small apparent diameter just 0.00001'' can potentially create on Earth Mercury weather
 

FAQ: Pair-instability supernova calculation

1. What is a pair-instability supernova?

A pair-instability supernova is a type of supernova explosion that occurs in very massive stars, typically those with masses between 130 and 250 times that of the sun. These stars have a unique composition and structure that causes them to undergo a catastrophic collapse, resulting in a powerful explosion.

2. How are pair-instability supernovae calculated?

Pair-instability supernovae are calculated using complex computer simulations that take into account the physical properties of the star, such as its mass, composition, and temperature. These simulations use mathematical models and equations to predict the behavior of the star during the collapse and explosion.

3. What can we learn from pair-instability supernova calculations?

Pair-instability supernova calculations can provide valuable insights into the evolution and fate of massive stars. They can also help us understand the processes involved in supernova explosions and the production of heavy elements in the universe.

4. Are pair-instability supernovae common?

No, pair-instability supernovae are not common. They are thought to occur only in very massive stars, which make up a small fraction of the total number of stars in the universe. They are also rare because they require very specific conditions to occur, making them a relatively rare event.

5. Can pair-instability supernovae be observed?

Yes, pair-instability supernovae have been observed by astronomers. However, they are difficult to detect because they are relatively rare and occur in distant galaxies. Additionally, the light from these explosions can be obscured by dust and gas, making them even harder to observe.

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