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Subject: 
Re: Transit Time to Mars
Newsgroups: 
lugnet.off-topic.geek
Date: 
Thu, 16 Dec 1999 00:40:41 GMT
Viewed: 
177 times
  
On Wed, 15 Dec 1999 21:44:21 GMT, Steve Bliss
<blisses@worldnet.att.net> wrote:

Assume the distance to Mars is 36 million miles.

Assume that a mile is 1.6 km, because dammit, you don't calculate
these things in imperial (you'd need g in miles/sec. Ugh.)

Show your work. ;)

All right.

x == v0 * t + 0.5 * a * t

x == 57.6e9 m

v0 == 0 (this means I'm calculating from reaching orbit, gimme a break
here)

a == g == 9.81 ms^-2

t == sqrt(2x/g) = 108366 seconds ~= 30 hours, 6 minutes, 6 seconds.

I worked out an answer to this, but it was too low to believe.

No kidding.

The thing to remember is that maintaining an acceleration of 1g takes
a tremendous amount of fuel. The Shuttle does several g's for a few
seconds with its _entire_ solid-fuel boosters, and then several g's
for another few dozen minutes burning up its entire external fuel
droptank.

That is a _bloody_ huge amount of material gone in a very short while.
You'd need to maintain that not for half an hour, but for 30 hours.
And remember that this grows exponentially - every time you double the
acceleration time or the weight, you near-double the fuel weight,
which means you have to near-double the amount of fuel again, etc.

A doubling in payload or burn time can easily mean one or two extra
stages to your missile, and 10 times the amount of fuel.

Cost gets prohibitve _really_ soon.

Jasper



Message has 2 Replies:
  Re: Transit Time to Mars
 
try "anti-matter" fuel cells...(use your imagination here)...you could travel to mars and back on like 1 atom of it. (25 years ago, 16-Dec-99, to lugnet.off-topic.geek)
  Re: Transit Time to Mars
 
(...) No it doesn't. It takes a tremendous amount of CHEMICAL fuel, but you need to use something with a much higher specific impulse. The problem is that your chemical exhaust is going WAY too slow, hence you're not transferring much momentum. (...) (25 years ago, 16-Dec-99, to lugnet.off-topic.geek)

Message is in Reply To:
  Transit Time to Mars
 
Basic physics word problem, which I thought of because of NASA's publicity about renewed Mars exploration, and putting people on Mars: If a spaceship could accelerate at a constant rate of 1G, how long would it take to get safely to Mars? Assume the (...) (25 years ago, 15-Dec-99, to lugnet.off-topic.geek)

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