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!! WARNING !!

These calcs pertains to major plot elements for Pokémon Sword and Pokémon Shield, especially in the late game.

If you do not wish to be spoiled, please click away immediately. This is your first and final warning.

The Darkest Day, First Method[]

Feat here. Eternatus brings about the Darkest Day, throwing the entire Galar region into chaos.

For size, I'm going to find the size of the whole Galar region and use that as its diameter. There are numerous claims that the storm is as big as Galar, so this should be fine.

I recorded myself using the bike to get from Axew's Eye to the nearby bridge, which took 9.73 seconds. According to this site, typical, non-professional bicyclists go about 13.5 miles an hour at best. So we'll use that.

6.035 m/s * 9.73 seconds = 58.72055 meters

The diameter of the storm will be measured using the in-game map, which is too big to actually put in full so I'll just crop to the distance I measured.

QwertPKMN











Distance to the bridge = 61 pixels = 58.72055 meters

Map height = 4932 pixels = 4747.7009 meters.

That's fairly small, only a bit bigger than Manhattan. Already I'm a little worried.

The storm clouds look to be either stratocumulus or cumulus, which can be either 2-4 km and 0.6-2 km thick on average, respectively. I'll use 3 km for a high end and 1.3 km as a low end. 

High-High End:

3 km in height, 4.7477 km diameter = 53.1102 km^3

Cloud mass = 5.327e10 kg

The storm seems to be extremely powerful, with large stuff like vending machines flying everywhere. Therefore 5.89 kJ/kg seems appropriate.

5.327e10 kg * 5.89 kJ/kg = 3.318e11 kJ, or 74.99 kilotons of TNT

Low-High End:

Same mass, different CAPE value. I'll use strong instability.

5.327e10 kg * 4 kJ/kg = 2.131e11 kJ, or 50.93 kilotons of TNT.

High-Low End:

1.3 km in height, 4.7477 km diameter = 23 km^3

Cloud mass = 2.3069e10 kg

2.3069e10 kg * 5.89 kJ/kg = 1.359e11 kJ, or 32.48 kilotons of TNT.

Low-Low End:

Same mass, strong instability.

2.3069e10 kg * 4 kJ/kg = 9.228e10 kJ, or 22.05 kilotons of TNT.

Well, that stinks. Let's try another way.

The Darkest Day, Second Method[]

Rose Tower will be used instead, as that's where the fight against Eternamax Eternatus was. 

Rose Tower has been cited as being almost a thousand feet (304.8 meters) tall. That's our height.

According to this calculator, at 1,000 feet the horizon is 62.4 kilometers, which will be our radius. Same thicknesses as last time, les do dis

High-High End:

3 km in height, 62.4 km in radius = 36698 km^3. Now we're talkin'!

Cloud mass = 3.6808e13 kg

3.6808e13 kg * 5.89 kJ/kg = 2.168e14 kJ, or 51.82 megatons of TNT.

Low-High End:

3.6808e13 kg * 4 kJ/kg = 1.4723e14 kJ, or 35.189 megatons of TNT.

High-Low End:

1.3 km in height, 62.4 km in radius = 15902 km^3

Cloud mass = 1.5949706e13 kg

1.5949706e13 kg * 5.89 kJ/kg = 9.394e13 kJ, or 22.45 megatons of TNT.

Low-Low End:

1.5949706e13 kg * 4 kJ/kg = 6.379882e13 kJ, or 15.24828 megatons of TNT.

Zacian & Zamazenta easily quelled this, so let's divide these values by two.

First Approach: 37.495, 25.465, 16.24 and 11.015 kilotons of TNT each. All in town-level.

Second Approach: 25.91, 17.5945, 11.225 and 7.62414 megatons of TNT each. All city level.

The Doggest Day[]

Soon after you defeat Eternatus, the two legendary hero doggos jump to the sky and the storm clears. It's said that Zacian & Zamazenta both stopped the Darkest Day, though I'm not sure if the storm clearing is their direct doing or just them moving out of the way after helping to stop Eternatus. Either way, I'm gonna calculate KE.

Timing the video from the frame the clouds start parting and when the last of them clear out, I got a timeframe of 5.53 seconds.

High-High End:

62.4 km / 5.53 s = 11.3 km/s

3.6808e13 kg moving 11.3 km/s has a KE of 2.35e21 J or 561.7 gigatons of TNT, 280.85 gigatons per dog. That escalated quickly.

Low-High End:

1.5949706e13 kg moving 11.3 km/s has a KE of 243.3 gigatons of TNT, 121.65 gigatons per dog.

High-Low End:

4747.7009 meters / 5.53 seconds = 858.5 m/s

5.327e10 kg moving 858.5 m/s has a KE of 1.963e16 J or 4.692 megatons of TNT2.346 megatons per dog.

Low-Low End:

2.3069e10 kg moving 858.5 m/s has a KE of 8.501e15 J or 2.032 megatons of TNT, 1.016 megatons per dog.



DMUA's Revision[]

I'll have to use rotational kinetic energy for this. My mortal enemy. Well, let's see if I got it this time.

Visibility suggests the maximum radius can be 20 kilometers. 

End #1:

Assuming a height of 1.3 km, the volume is 1633.63 km^3, and the mass is 1.6385e12. The parallel moment of inertia of a cylinder with these dimensions is 3.277e20 kg m^2.

The storm's circulation seems to be pretty fast, but nothing crazy. I'll use 0.2 rad/s.

Putting this in Wolfram|Alpha, the total RKE comes out to be 6.554e18 J or 1.566 gigatons of TNT.

End #2:

Making the height 3 kilometers puts the cylinder volume at 3769.91 km^3, and the mass 3.7812e12 kg. Using the same value for rotational speed, the total moment of inertia and RKE this time yield 7.562e20 kg m^2 and 1.512e19 J--or 3.614 gigatons of TNT--respectively.

End #3:

The first value's cylinder dimensions will be used for this end. For a high end, I'll use 0.5 rad/s.

RKE = 4.096e19 J, or 9.79 gigatons of TNT.

End #4:

Same as before, with the second cylinder's dimensions.

RKE = 9.453e19 J, or 22.59 gigatons of TNT.

Final Tally:[]

Darkest Day's CAPE, low end: 22.05 to 74.99 kilotons of TNT, town level.

Darkest Day's CAPE, high end: 51.82 to 15.25 megatons of TNT, city level.

Clearing Darkest Day, low end: 2.032 to 4.692 megatons of TNT, small city level.

Clearing Darkest Day, high end: 243.3 to 561.7 gigatons of TNT, large island level.

RKE, lowest end: 1.566 gigatons of TNT, small island level.

RKE, low end: 3.614 gigatons of TNT, small island level.

RKE, high end: 9.79 gigatons of TNT, island level.

RKE, highest end: 22.59 gigatons of TNT, island level.

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