Acceleration Mass Equation

2 posts ยท Aug 20 1998 to Sep 4 1998

From: Phillip E. Pournelle <pepourne@n...>

Date: Thu, 20 Aug 1998 11:47:52 -0700

Subject: Acceleration Mass Equation

Could someone send me the equation that explains the amount of mass consumed
by fuel for continuous acceleration? How do you access the Archinves? Phil P.

Gort, Klaatu barada nikto!

From: Barton T. Anderson <anderson@p...>

Date: Thu, 3 Sep 1998 20:32:55 -0700

Subject: Re: Acceleration Mass Equation

I think what you are looking for is the "Classical Rocket Equation", which is:

e^(v/c) = M0/M1

where:

v = the final velocity of the spacecraft, c = the exhaust velocity of the
reaction mass out the tailpipe, M0 = the initial mass of the spacecraft (with
full fuel tanks), and M1 = the final mass of the spacecraft, after the burn.

However, this does not really address "constant acceleration", in that, for a
given exhaust velocity, your actual acceleration will increase over time
because your mass is (rapidly) decreasing. You can extend your fuel life
somewhat by forcing a constant acceleration, but the final effect is the same.
(Incidently, probably a more useful way of looking at the "final"
velocity is as "Delta-V" or the total change in velocity [speed and
direction].) Unfortunately, what you'll find is a) it requires a HUGE amount
of fuel to move yer rocket with any alacrity, so really usable Space
Battleships won't be using a reaction drive at all, and so your "fuel use with
acceleration" can probably be anything you want it to be...

bTa

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