Started: 21 August 2006, 8:23 UTC
Finished: 29 January 2007, 16:49 UTC

Rocket equation, simplified

Keywords: space, top10

A simpler version of the Rocket Equation:

For a reasonable mission, Δv must be smaller than ve.

Now, this is not a strict rule: you can stretch it, but the mission profile won't be reasonable. By the same token, if you can swing it, you really want a margin on this. But as a quick rule-of-thumb, it's true enough and simple: Δv<ve.

Δv is a measure of distance in space, which adds up just like normal distances: it takes 9-10 to get from Earth's surface to orbit, then 5½ to get to the moon's surface, for a total of about 15. On the way back you can aerobrake, so it only comes to 2.3. All up, a moon mission is around 17½. There's a nice chart here, giving the Δv distances around the Earth, Moon and Mars.

ve depends on the rocket engine you use: the rockets we have top out around 3-4. The Space Shuttle engines make 4½, but they use hydrogen, which is somewhat inconvenient (it needs to be kept cold, and it's bulky - bigger tanks, bigger pipes, bigger pumps). Ion drives make 30 easily, but you can't use them to take off from a planet - only to change orbits.


Of course, if the ve we can get is in the region of 3-4 and even the shortest orbital space missions need a Δv of 9-10, it doesn't exactly satisfy the rule Δv<ve - which means that we would expect the missions not to be reasonable, and the moon missions even more so.

Thus we find them: our space rockets are huge, staged monsters, while the ships themselves are tiny, made from exotic metal alloys so as to be as light as possible, usually discarded after just a single use.

Child porn blackmail worm
   
Stargate Atlantis pilot ("Rising")

comment by:
email: (will not be displayed)
6 times 5:


Home
Blog
Random
E-mail
IM


[æ]