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- From: Pauli.Ramo@hut.fi (no, I don't repeat it!)
- Newsgroups: sci.space.shuttle
- Subject: Re: Re : To the moon.....
- Message-ID: <PAULI.RAMO.93Jan24190410@vipunen.hut.fi>
- Date: 25 Jan 93 03:04:10 GMT
- References: <1993Jan17.161217.4950@titan.ksc.nasa.gov> <73861@cup.portal.com>
- <PAULI.RAMO.93Jan19184850@vipunen.hut.fi> <74006@cup.portal.com>
- Sender: usenet@nntp.hut.fi (Usenet pseudouser id)
- Reply-To: Pauli.Ramo@hut.fi
- Organization: /u/opi/s/ramo/.organization
- Lines: 50
- In-Reply-To: BrianT@cup.portal.com's message of Wed, 20 Jan 93 17:10:58 PST
- Nntp-Posting-Host: vipunen.hut.fi
-
- In article <74006@cup.portal.com> BrianT@cup.portal.com (Brian Stuart Thorn) writes:
-
- > Of course, the Shuttle can't jettison the ET to to lighten the
- > load for TEI. Then again, even a single SSME has an order of
- > magnitude more thrust than the Apollo SPS engine.
-
- ...
-
- > Previous paragraph about SSME thrust versus Apollo SPS thrust
- > applies here as well. Of course, no reason to limit Lunar Shuttle
- > to using only a single SSME...
-
- The *thrust* is not a problem, after getting to LEO. If you have less
- thrust, it only takes a little longer to get to the Moon. In fact, you
- could make both TLI and LOI with only one OMS (or even RCS) engine, if
- you had enough fuel to it and it lasted a long continuous firing. The
- problem is the amount of fuel needed.
-
- There is a simple equation to calculate the amount of velocity change
- for a given amount of fuel and mass of vehicle:
-
- dv = ln (m/m0) * I
-
- where
- dv = velocity change
- m = initial mass (with full tanks)
- m0 = mass without fuel (empty tanks & payload)
- I = the impulse of the engine used
-
- With chemical rockets, I is some thousands of m/s. For example, the impulse
- of SSME is about 4400 m/s. With SRB's it is lower.
-
- For a complete trip to moon and back, you must sum the velocity changes
- needed in it's various parts together and use that to calculate your
- fuel requirements. Unfortunately, I don't have the exact requirements
- for TLI, LOI, TEI and EOI on hand (maybe someone can help me here), but
- even LEO requires a total velocity change in the order of 9000 m/s.
-
- Thus, to only get to LEO with a single stage booster equipped with SSME's,
- you had to have the mass ratio of about 7.73:1. That means that of the
- initial mass of the vehicle, 87% had to be used as fuel just to get to
- LEO, and the remaining 13% would include all the tanks and engines for
- the fuel.
-
- If someone has the velocity change requirements for the rest of our trip
- to moon, we can continue this little number game.
-
- Pauli
- --
- Disclaimer fault - lawyers dumped
-