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Energy required to destroy half of the solar system calc evaluation

I wanted to see how much energy it would take to destroy half of the solar system out of curiosity so calculated. (I asked this this before and was given an answer different to what I calculated my self)

https://vsbattles.fandom.com/wiki/User_blog:Bossbrosish/Destroying_half_of_the_Solar_System
You messed up the planet's GBEs


Jupiter is:
3(6.67408x10^-11×1.89800e27^2)/(5×69911512.7) = 2.06341401e36 J

Thus, 4*2.06341401e36 (778,600,627,200/69911512.7)^2 = *1.02371358e45 Joules (Large Star level)
 
Wait, I thought the Polytropic value was 1.5 for gas giants, but for Jupiter it's 3? Does this apply to the others?
You don't use Polytropic value for this formula, I think. The GBE page just says to use the formula as it is, while using Polytropic values for stars.
 
Destroying the entire solar system from the Sun is baseline 4-B. If you got 2x baseline via destroying half of it, you did something wrong.
Solar System has no set baseline, we made it up by assuming the bare minimum power required to have Neptune busting power at the edge from the Sun's center.
 
However, the GBE formula used is wrong.

The correct formula is U = (3*G*M^2)/(r(5-n))

in which U is GBE in joules, G is the gravitational constant of 6.67408e-11 (Wikipedia states 6.6743015e-11), M is mass in kilograms, r is radius in meters, and n is the polytropic value attributed to the type of star (Or in this case, gas giant).
 
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I am also unsure whether Uranus and Neptune would use polytropic values at all. AFAIK only Jupiter seems to qualify for the 1.5 polytropic value, not sure about Saturn either.

@DontTalkDT @Executor_N0 What do you think we should do here?
 
Bump.

Okay so I have seen and checked Assaltwaffle's old Tiering System revisions blog, and some numbers are slightly different from the wikipedia articles they link to.

Some have slightly different mass values and then there's the slightly different gravitational constant value which our GBE page on the wiki links to and mentions 6.67408e-11, this value however, links back to wikipedia, where the value is now 6.6743(015)e-11. Some of the mass values of our celestial objects and radii are also slightly different, for example, NASA cites the mass of the moon to be 7.347e+22 kg, but wikipedia's sources claim 7.342e+22 kg.

My only concern now is, are these values even that different enough to neccesitate any changes to the blog's values, if any at all? Because at the end of the day, these values wouldn't be overwhelmingly large enough to mean any massive site-wide revision changes at all, at best, only a few certain calcs would be affected as none of them would be that conveniently close to the baseline starting values.

@DontTalkDT @Executor_N0 Since you guys are the smartest with regards to astronomy here, what do you think we should do?
 
When the difference is very small I think that being in the same overall order of magnitude works well enough. I mean, we could update our values every time the measurement becomes 0.001% better because it's a more precise measurement, but I don't think there would be any real changes to profiles considering that everything should be in the same order of magnitude. I think that the effort to always update when a 0.002e+22 is added isn't worth enough.
 
When the difference is very small I think that being in the same overall order of magnitude works well enough. I mean, we could update our values every time the measurement becomes 0.001% better because it's a more precise measurement, but I don't think there would be any real changes to profiles considering that everything should be in the same order of magnitude. I think that the effort to always update when a 0.002e+22 is added isn't worth enough.
Understandable, best to leave High 5-A to 3-A as is then.

Still, we should revise 5-A regardless. As neither the Planetary Parameter calculator nor the standard GBE formula give an energy yield of 1.13E+34 J, hell, 5-A and its reference planet, Uranus, is not even mentioned like how Moon, Small Planet and Planet are, or even the Stars.

Uranus has a radius of 25362.7 km or 2.5362e+7 meters and a mass of 8.681e+25 kg.

U = (3*G*M^2)/(5r)

in which U is GBE in joules, G is the gravitational constant of 6.6743015e-11 N.m.kg^-2, M is mass in kilograms, r is radius in meters.

GBE: (3*(6.6743015e-11)*(8.681e+25^2))/(2.5362e+7*5) = 1.1899072e+34 J or 2.84394646272 yottatons of TNT

The Planetary Parameter Calculator, when using the 50725.4 km diameter and 0.886 g, gives a yield of 1.107E+34 J or 2.6457935 yottatons of TNT.

Mean: (1.1899072e+34 + 1.107E+34)/2 = 1.1484536e+34 J or 2.74487 yottatons of TNT
 
Wait why 3-A?
Uhhhhhhh... What do you mean?

The only differences would be the gravitational constant used to obtain GBE of certain objects which would then be used in the inverse-square law to find the potency of an explosion at the epicenter. And slight but negligible differences in the mass of objects used to obtain GBE.

Granted, this tiny variation in the value is way too low to warrant any change to the tiering system to the point where it would end up exactly the same as the values we have on the AP chart right now if we rounded off to it.
 
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