Calculations
On the bridge, Soldato J swung his right arm, cueing the super dreadnought to ramp up its impulse drive to the max and speed towards the moon. Ordinary humans wouldn’t be able to withstand the sudden acceleration, but the cyborg warrior and Brave Robos weren’t inconvenienced by it. In no time at all, the giant warship was far enough away from Orbit Base that it looked like just another bit of stardust.
Zooming through interstellar space at maximum combat speed, the super dreadnought was on an entirely different class of velocity compared to the Division ships. The J-Ark cleared the distance between Earth orbit and the lunar surface in a matter of minutes and was the first to reach the U.N. Alpes Base zone.

“…What is that!?” came a cry of astonishment from ShouChouRyuuJin, tightly secured to the deck. Normal humans wouldn’t be able to withstand this extreme acceleration, but the hardy Brave Robo Corps weren’t affected in the slightest. What gave the Brave Robos such a shock was the vastly changed appearance of the U.N. Alpes Base.
J-Ark moves from Earth's orbit to the Moon in a matter of minutes, and J-Soldat and the Brave Robo Corps are completely unaffected by the acceleration. The J-Ark was moored at Orbit Base, so we'll subtract the distance from the Moon to Orbit Base for our distance travelled. The distance from the Earth to the Moon is 384,400km. But how high into orbit is Orbit Base?
rjTXEFh.png
ac6b6294509876e4bb09d25bebf54ea34afde11c

R = (h/2) + c^2/(8h)
= (104/2) + 1672^2/(8 X 104)
= 3412.07692 pixels X 2
= 6824.15384 pixels

The radius of the Earth is 12756.2km.
object degree size = 2*atan(Object_Size/(Panel_Height/tan(70/2)))
= 2*atan(6824.15384/(1641/tan(70/2)))
= 2.20230527 rad
= 126.18279717073224 degrees

Enter that through angscaler and we have a distance of 3237km to the Earth.

L = 384,400km - 3237km
= 381163km

It says minutes plural, so for our low end we'll use two minutes (120 seconds) and for our high end we'll use nine minutes (540 seconds).

(Low end)
T = 381163km/540s
= 705857.407/340.29
= Mach 2074.28196

(High end)
T = 381163km/120s
= 3176358.33/340.29
= Mach 9334.2688

Impressive, but the real reason why we're here is for the kinetic energy withstood by J-Soldat and the Brave Robos (completely unphased too). J-Soldat has a weight of 0.2 tons, or 200kg.
w7zTMso.png
(Low end)
KE = (0.5)mv^2
= (0.5) X 200 X 705857.407^2
= 4.98234679e13 joules
= 11.908094622370937 kilotons

(High end)
KE = (0.5)mv^2
= (0.5) X 200 X 3176358.33^2
= 1.00892522e15 joules
= 241.1389149139579331 kilotons

As for the Brave Robos, Volfogg was among their number, and we have an official mass for Volfogg; 13.5 tons (13500kg).
z0X1SdQ.png

(Low end)
KE = (0.5)mv^2
= (0.5) X 13500 X 705857.407^2
= 3.36308408e15 joules
= 803.7963862332695726 kilotons

(High end)
KE = (0.5)mv^2
= (0.5) X 13500 X 3176358.33^2
= 6.81024526e16 joules
= 16.276876816443593299 megatons

Final Results
J-Ark flies to the Moon (low end) = Mach 2074.282
J-Ark flies to the Moon (high end) = Mach 9334.269
J-Soldat withstands the J-Arks acceleration (low end) = 11.908 kilotons
J-Soldat withstands the J-Arks acceleration (high end) = 241.139 kilotons
Volfogg withstands the J-Arks acceleration (low end) = 803.796 kilotons
Volfogg withstands the J-Arks acceleration (high end) = 16.277 megatons

Comments

There are no comments to display.

Blog entry information

Author
Stocking Anarchy
Read time
2 min read
Views
126
Last update

More entries in The Outskirts Battledome (OBD)

More entries from Stocking Anarchy

Share this entry

Back
Top