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Re: OK, here the right calculus (I hope)
- To: Timothy van der Linden <T.L.G.vanderLinden@student.utwente.nl>
- Subject: Re: OK, here the right calculus (I hope)
- From: Kevin C Houston <hous0042@maroon.tc.umn.edu>
- Date: Tue, 2 Apr 1996 15:53:26 -0600 (CST)
- cc: KellySt@aol.com, kgstar@most.fw.hac.com, stevev@efn.org, jim@bogie2.bio.purdue.edu, zkulpa@zmit1.ippt.gov.pl, rddesign@wolfenet.com, David@InterWorld.com, lparker@destin.gulfnet.com, DotarSojat@aol.com
- In-Reply-To: <199603300114.AA05967@student.utwente.nl>
On Sat, 30 Mar 1996, Timothy van der Linden wrote:
> Optimal solution for a maser deceleration starship. The starship carries all
> the necessary repulsion mass and gets the energy needed to accelerate the
> repulsion mass from the maser.
>
> To do this we want to find the solution that consumes the least energy.
<Equations snipped>
> The minima are:
>
> Vstart Vexh optimal Fuel:ship-ratio Energy per kg of ship (in Joules)
> 0.1 0.062 5.36 7.45E14
> 0.2 0.121 5.84 3.25E15
> 0.3 0.180 6.40 8.11E15
> 0.4 0.240 7.06 1.64E16
> 0.5 0.300 7.87 2.97E16
> 0.6 0.364 8.91 5.23E16
> 0.7 0.433 10.38 9.21E16
> 0.8 0.512 12.72 1.73E17
> 0.9 0.615 17.75 4.04E17
> 0.99 0.803 52.00 3.12E18
> 0.9996 0.906 238.81 2.91E19
>
So you're saying that a Maser Augmented Rocket System (MARS) _will_
work? do I have that correct. That we can use maser sail to accelerate
at 1G constant, then convert the Microwave energy to elec. to accelerate
Reaction Mass (RM) to about .803 C and we will need 52 times the ships
dry mass for RM.
Celebratory cheers pending confirmation.
> Note that the power of the maser-beam is NOT constant, it is supposed that
> it decreases while the ship gets lighter (because it repulses mass).
If it's not too much trouble, can you figure this for a constant maser beam
How much extra RM will we need?
A decreasing maser beam is possible, it's only a time delay calculation,
but a constant beam would solve some engineering problems
and which time frame do I use to figure the energy of the Maser beam?
ship's time or earth's time?
Kevin