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She-Ra calcs, part 2

Published by Galo de Lion in the blog Galo de Lion's blog. Views: 43

In season the season 3 the scope really goes up, namely with the introduction of Horde Prime and his fleets. So let's get us some calcs. Also because this is on Netflix and I couldn't find any other versions of this scene, I couldn't really make any gifs I'm afraid, though still images should work.
Spoiler:






1. First planetary bombardment
Horde Primes fleets bombs a planet and creates some considerable explosions with super fast lasers.
Spoiler:




Timeframe is 1 second (though in actuality it would be even less, at it travels across the screen in only part of a second). First off, to find the radius of the planet, assuming it's Earth-sized (which has a radius of 6378.1km, or a diameter of 12,742km).

R = (h/2) + c^2/(8h)
= (292/2) + 1506^2/(8 X 292)
= 1116.90582

6378.1km = 1116.90582 pixels
1 pixel = 6378.1km/1116.90582 = 5.71050834km
5.71050834km X 2100 = 11992.0675km

T = 11992.0675km/1s
= 11992067.5/340.29
= Mach 35240.7285

And keep in mind that would be a low end, and I was unable to calculate or pause from fractions of a second.

5.71050834km X 474 = 2706.78095km
2706.78095km/2 = 1353.39047km

Enter that through the nuke calculator using the above radius of 1353.39047km and playing around and find that for the widespread destruction airburst we get a result of 7710100 megatons, or 7.710100 teratons. Going for a high end of fireball radius, we get 548490000 megatons, or 548.490000 teratons.

2. Second planetary bombardment and giant ships
Similar to the first, but this time we have a much, much bigger ship. Once again assuming an Earth-like size for the planet...
Spoiler:



542 pixels = 12,742km
1 pixel = 12,742km/542 = 23.5092251km
23.5092251km X 90 = 2115.83026km
23.5092251km X 51 = 1198.97048km
2115.83026km - 1198.97048km = 916.85978km
23.5092251km X 710 = 16691.5498km
23.5092251km X 100 = 2350.92251km
2350.92251km/2 = 1175.46125km
23.5092251km X 2613 = 61429.6052km
23.5092251km X 2013 = 47324.0701km
23.5092251km X 1086 = 25531.0185km
23.5092251km X 726 = 17067.6974km

First off for the explosion. Once again messing around with the nuke calculator for a radius of 1175.46125km, we get a low end of 5029000 megatons and a high end of 385290000 megatons, or 5.029000 teratons and 385.290000 teratons respectively.

Next for the speed of the lasers (remember again that this was a low end, and the lasers flew this distance in a fraction of a second.

T = 16691.5498km/1s
= 16691549.8/340.29
= >Mach 49050.9559

Let's also get the cruising speed of the ship.

T = 916.85978km/1s
= 916859.78/340.29
= Mach 2694.34829

Final Results
Ships shoots planet = >Mach 35240.726
Bombardment explosion on first planet (low end) = 7.710 teratons
Bombardment explosion on first planet (low end) = 548.49 teratons
Giant ship length = 61429.605km
Bombardment explosion on second planet (low end) = 5.029 teratons
Bombardment explosion on second planet (high end) = 385.29 teratons
Giant ship shoots second planet = >Mach 49050.956
Giant ship cruising speed = Mach 2694.348


There's also the kinetic energy the giant ship would generate, but unfortunately we can't see the other side of the ship, and thus can't scale its full dimensions.
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