As the resident Zelda
fan in most of the online communities I'm in, I usually get asked how strong is
Link, how powerful is Majora or Fierce Deity Link, what's the most impressive
feat in Zelda, etc. I would usually respond to those questions by saying that
Majora destroyed Termina, and the feat should be approximately continent-level
if not more. Although, the problem with making this claim is that there isn't
much to back it up nowadays. Most resources for this feat, such as the calcs on
VBW or OBD, either have broken links or outdated information; for example if
you look for the original calc on the Outskirts Battledome, it uses the kinetic
energy required to pull the real-world moon out of orbit, and has yet to update
or edit this. I have trouble finding any resources that reference the explosion
itself, which is usually the reason I cite for the characters being that
powerful. This calculation will aim to rectify
that.
First, to lay down
some context.
This is the cutscene
that plays if you allow Skull Kid to drop the moon. The speed and size of the
moon itself will not yield any results worth looking into, again, it's the
resulting explosion we're concerned with. There is also a cutscene where Majora
creates a similar explosion without the moon.
This cutscene plays
wherever Link is, and the explosion will reach him within seconds wherever he
is in Termina. The 3DS version of the cutscene claims that it annihilates
Termina and its inhabitants.
Now, I will not be using
the game map or the size of the giants and their strides from Clock
Town, as I believe they are not to scale and will
not produce accurate results. Instead, I will be basing this on the fact that
Termina houses several unique biomes, such as a mountain range and a forest,
and will compare them to the average size of these biomes.
Again, this map is not
to scale, I'm simply using it as a reference point for the types of biomes
within Termina. In addition, here is a list of
all areas in the game as well.
Average
mountain range: 3,500 km across and
roughly 6,000 m above sea level
Area of
Red Sea: 169113 mi^2 (438052.459
km^2) and max depth of 3040 m
Size of average forest (Sonian forest used as reference): 10,920 acres (44 square km)
Area of average valley: 100 km^2
Size of average canyon: 6400m
Size of
average town: about 1000 km^2
I will be multiplying
the size of average forest by 6 to account for the amount shown, and the size of
the average town by 8 to account for the various settlements, ranching and
farming areas, temples, fields and other areas that were left unaccounted for.
44*6=264
1000*8=8000
Now to convert all the
meter values to meters squared and add them all together to get our total area
the explosion covered, which brings us to...
3500+438052+264+8000+40.96+100
449956.96 km^2
To account for 3D space,
I’ll use formula for a rectangular solid since we can use the same value of
area for our width and we have an approximate value for our height based on the
mountain range height and sea depth from earlier.
V=lwh
lw (surface area)=449956.96
km^2
h=9 km (6000+3000 m)
V=449956.96*9=4,049,612.64
km^3
Since the word used in
the cutscene is "annihilated", we'll assume pulverization for our low
end and vaporization for our high end.
Pulv.: 214.35 joules per
cubic cm
Vap.: 25700 joules per
cubic cm
Cubic km to cubic cm=
4.04961264000000013e+21 or 4049612640000000000000 cc
Low End: 214.35*4049612640000000000000=868,034,469,384,000,000,000,000
Joules or 0.2 Petatons of TNT equivalent
High End: 25700*4049612640000000000000=104,075,044,848,000,000,000,000,000
Joules or 24.8 Petatons of TNT equivalent
This would scale to
Fierce Deity Link and base form Link's Great Fairy Sword.
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