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Dreadnought deceleration calculations
Posted By: Vincent <danielspowage@hotmail.com>Date: 1/24/09 9:19 a.m.


Since Bungie were obliging enough to give us some numbers (albeit vague ones), I thought I'd try and work out a rough idea of it's deceleration. Fair warning: several assumptions from this point on.

We are given that the dreadnough takes 9 days (777600 seconds) to get to Earth.

It "arrives in the sol system" - I'll assume for now it starts at the edge of the system, which I'll put at just past the kuiper belt, or about 50AU (50 x 149.60 x 109 metres) away.

It then proceeds to Earth at "near relativistic speeds" - call it .99c (0.99 x 3.00 x 108 metres/second) for now, but could be much lower - I'll assume it starts at that speed and decelerates uniformly the whole distance.

----Warning: maths to follow!----

We can work out acceleration with the formula s=ut+½at², where s=distance, u=initial speed, t=time, and a=acceleration. So:

50 x 149.60 x 10^9 = (0.99 x 3.00 x 108 x 777600) + (0.5a x 777600²)
7480000000000 = 230947200000000 + 302330880000a
-223467200000000 = 302330880000a
a = -739ms-2

----End maths----

What this tells us is that, assuming all assumptions are correct, the dreadnought would have had to decelerate at 739ms-2, or 75 times the force of gravity.

You can of course change this number by changing the speed we assume it to start at, the distance it travels, etc. - this is merely an idea of the kind of numbers we're talking about.

Though I do wonder why Truth took almost twice as long getting to Earth as he did travelling from High Charity...


Message Index




Replies:

Dreadnought deceleration calculationsVincent 1/24/09 9:19 a.m.
     Re: Dreadnought deceleration calculationsurk 1/24/09 3:36 p.m.
           That's irrelevant...stan 1/24/09 4:22 p.m.
           Re: Dreadnought deceleration calculationsBlueNinja 1/24/09 4:56 p.m.
                 Re: Dreadnought deceleration calculationsSonofMacPhisto 1/24/09 5:01 p.m.
                       Re: Dreadnought deceleration calculationsscarab 1/25/09 5:40 a.m.
           Re: Dreadnought deceleration calculationsStephen L. (SoundEffect) 1/24/09 9:40 p.m.
                 Re: Dreadnought deceleration calculationsDevil mingy 1/24/09 10:06 p.m.
                       Re: Dreadnought deceleration calculationsRagashingo 1/24/09 10:55 p.m.
                             Re: Dreadnought deceleration calculationsSonofMacPhisto 1/25/09 12:22 a.m.
           Ah, touché *NM*Vincent 1/25/09 3:11 a.m.



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