Alright, so I did a bunch of research and found an actual way to calculate this.
First, the feat.
Final result:
58.6 exatons per second.
Well, this is still a really big low-end, taking into account this only considers the nearest magnitude 6 star. Also, Artemis does this extremely casually after nearly being beaten to death by Atlas and while in her cosmically nerfed form.
Amidoinitrite? :distracted
First, the feat.
Just some background first to validate this.
Apollo tells it like it is. He should know; that's his ride.
Basically, mortals conceptualize the power these gods dick around with in ways they can understand. They still pack that energy, though.
Anyway.
Apollo tells it like it is. He should know; that's his ride.
Basically, mortals conceptualize the power these gods dick around with in ways they can understand. They still pack that energy, though.
Anyway.
So to explain a little bit before going into all the math gibberish, stars are measured in magnitudes as far as brightness is concerned.
Percy actually seeing these stars get brighter, ignoring the conspicuous lolfiction FTL light, means he's observing an increase in apparent magnitude. These stars are ones that neither he nor Annabeth noticed before, and demigods study astrology and astronomy like their lives depend on it (they do in some cases). Ergo, these stars are either invisible or barely visible to the human eye. 6th and lower magnitude stars fit this bill. By the end of the feat, Percy describes these stars to be some of the brightest in the sky, at least for a little while.
So Artemis pretty much increased these ~magnitude 6 stars to ~1st magnitude stars. Now, with different stars this is a bit harder to calculate, but with the same star, it's quite easy--simply take a circa magnitude 6 star and calculate its luminosity were it a magnitude 1 star, then subtract its true luminosity from the result.
Percy actually seeing these stars get brighter, ignoring the conspicuous lolfiction FTL light, means he's observing an increase in apparent magnitude. These stars are ones that neither he nor Annabeth noticed before, and demigods study astrology and astronomy like their lives depend on it (they do in some cases). Ergo, these stars are either invisible or barely visible to the human eye. 6th and lower magnitude stars fit this bill. By the end of the feat, Percy describes these stars to be some of the brightest in the sky, at least for a little while.
So Artemis pretty much increased these ~magnitude 6 stars to ~1st magnitude stars. Now, with different stars this is a bit harder to calculate, but with the same star, it's quite easy--simply take a circa magnitude 6 star and calculate its luminosity were it a magnitude 1 star, then subtract its true luminosity from the result.
According to this, the closest ~magnitude 6 star is Beta 61 Cygni, at a distance of 11.1 Ly. This is important, because constant distance is integral to this whole process.
The star's luminosity is .085 that of the Sun.
Sun's luminosity is 3.842e26 watts.
3.842e26*.085=3.2657e25 J/s
Keep that tucked in the back pocket.
Now we have to calculate the luminosity were the apparent magnitude 1.
To do this, we need to first find the Bolometric magnitude, which is pretty much a unit relative to luminosity in that it measures a star's total energy output. To do this, we first need to find the absolute magnitude.
where M is the absolute magnitude, m is the apparent magnitude, and D is distance in parsecs. 11.1 Ly is equivalent to 3.4032027795 parsecs.
M=1-5((log(3.4032027795)-1)=3.3405608636979465
Now we have to find Bolometric magnitude.
where Mbol is the bolometric magnitude, Mv is the absolute visual magnitude, and BC is the bolometric correction.
Beta 61 Cygni is classified as a K6 star. So I'm using the average BC between a K5 and K7 star, which would be -0.755 (column V is for main sequence stars). Dunno if it works like that but fuck it :distracted
Mbol=3.3405608636979465-0.755=2.5855608636979465
Now, we also need the bolometric magnitude of the Sun.
Lstar/3.842e26=10^((4.75-2.5855608636979465)/2.5)
Lstar/3.842e26=7.34134535
Lstar=2.82e27 J/s
To get to change in luminosity imposed by Artemis, we take the original luminosity and subtract it from our result.
2.82e27-3.2657e25=2.787343e27 J/s
Now, according to Wikipedia, Orion has 88 notable stars. It'd be kinda stupid if Percy could immediately recognize the shape of a Huntress from 7 stars, especially considering how they're arranged in Orion.
Anyway.
2.787343e27*88=2.45286184e29 J/s
or about 58.6 exatons per second.
The star's luminosity is .085 that of the Sun.
Sun's luminosity is 3.842e26 watts.
3.842e26*.085=3.2657e25 J/s
Keep that tucked in the back pocket.
Now we have to calculate the luminosity were the apparent magnitude 1.
To do this, we need to first find the Bolometric magnitude, which is pretty much a unit relative to luminosity in that it measures a star's total energy output. To do this, we first need to find the absolute magnitude.
where M is the absolute magnitude, m is the apparent magnitude, and D is distance in parsecs. 11.1 Ly is equivalent to 3.4032027795 parsecs.
M=1-5((log(3.4032027795)-1)=3.3405608636979465
Now we have to find Bolometric magnitude.
where Mbol is the bolometric magnitude, Mv is the absolute visual magnitude, and BC is the bolometric correction.
Beta 61 Cygni is classified as a K6 star. So I'm using the average BC between a K5 and K7 star, which would be -0.755 (column V is for main sequence stars). Dunno if it works like that but fuck it :distracted
Mbol=3.3405608636979465-0.755=2.5855608636979465
Now, we also need the bolometric magnitude of the Sun.
Lstar/3.842e26=10^((4.75-2.5855608636979465)/2.5)
Lstar/3.842e26=7.34134535
Lstar=2.82e27 J/s
To get to change in luminosity imposed by Artemis, we take the original luminosity and subtract it from our result.
2.82e27-3.2657e25=2.787343e27 J/s
Now, according to Wikipedia, Orion has 88 notable stars. It'd be kinda stupid if Percy could immediately recognize the shape of a Huntress from 7 stars, especially considering how they're arranged in Orion.
Anyway.
2.787343e27*88=2.45286184e29 J/s
or about 58.6 exatons per second.
58.6 exatons per second.
Well, this is still a really big low-end, taking into account this only considers the nearest magnitude 6 star. Also, Artemis does this extremely casually after nearly being beaten to death by Atlas and while in her cosmically nerfed form.
Amidoinitrite? :distracted
