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Re: Dreadnought deceleration calculations
Posted By: urk	Date: 1/24/09 3:36 p.m.
In Response To: Dreadnought deceleration calculations (Vincent) There are two schools of thought regarding the outer limit of the Sol System. One considers Pluto, the planetary (dwarf) boundary, to be the defining orbital edge of the system, putting the furthest orbital mark at about 40 AU. The other extends the marker to the Oort Cloud, the gravitational boundary, somewhere around 50,000 AU, about a full light-year out. Even so, these calculations don't account for restroom breaks and recreational stops. ;) : 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 10 9 metres) away. : It then proceeds to Earth at "near relativistic speeds" - call it : .99c (0.99 x 3.00 x 10 8 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 10 8 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

Dreadnought deceleration calculations	Vincent	1/24/09 9:19 a.m.
Re: Dreadnought deceleration calculations	urk	1/24/09 3:36 p.m.
That's irrelevant...	stan	1/24/09 4:22 p.m.
Re: Dreadnought deceleration calculations	BlueNinja	1/24/09 4:56 p.m.
Re: Dreadnought deceleration calculations	SonofMacPhisto	1/24/09 5:01 p.m.
Re: Dreadnought deceleration calculations	scarab	1/25/09 5:40 a.m.
Re: Dreadnought deceleration calculations	Stephen L. (SoundEffect)	1/24/09 9:40 p.m.
Re: Dreadnought deceleration calculations	Devil mingy	1/24/09 10:06 p.m.
Re: Dreadnought deceleration calculations	Ragashingo	1/24/09 10:55 p.m.
Re: Dreadnought deceleration calculations	SonofMacPhisto	1/25/09 12:22 a.m.
Ah, touché *NM*	Vincent	1/25/09 3:11 a.m.