From: vince@offshore.ai (Vincent Cate)
Newsgroups: sci.space.tech
Subject: Re: Lunar Sample Return via Tether
References: <b0ce55f4.0312080607.61693634@posting.google.com> <20031209194336.06226.00001965@mb-m19.aol.com>
NNTP-Posting-Host: 207.42.133.230
Message-ID: <9186edb5.0312100949.3c86ca20@posting.google.com>

skyefire@aol.com (SkyeFire) wrote in message news:<20031209194336.06226.00001965@mb-m19.aol.com>...
>     Stupid question time:  assuming that the cargo schedule isn't 
> very heavy, why would we necessarily need incoming cargo or propulsion 
> to keep the tether's momentum up?  If we had a momentum wheel powered 
> by a solar-electric motor mounted in the hub of the tether, couldn't 
> we win back rotation that way with minimum effort?  

There are 2 types of momentum you need to keep under control.  One
is the rotational momentum around your own center of mass and the other 
is orbital momentum around the moon.

The rotational momentum of even 1 Kg at the end of a 100,000 meter long 
tether is so huge that no momentum wheel will have any impact on it.  
However, you can easily control a tether's rotational momentum, when 
near a gravitational body, by winching the tether in and out as it is 
going up or down relative to the body.  If you want to rotate faster 
you let it out on the down side and winch in on the up side so it spends
more time going down (and pulled faster) than going up (and pulled slower). 
So rotational momentum is an easily solved problem.

The orbital momentum needs to be controlled by either leaving something
on the surface of the moon of equal mass to what you are picking up,
or using some kind of thruster.  The thruster could be a conventional
chemical rocket, an electric thruster, or a solar sail.  All of these,
including leaving something on the surface, can be looked at in terms
of ISP or exhaust velocity.

                           ISP      Exhaust velocity 
  Leaving mass on surface  163      1.6 km/sec
  Chemical Rocket          400      3.9 km/sec
  Hall Thruster          2,000      19.6 km/sec
  Ion Drive             10,000      98 km/sec
  Solar Sail          infinite     speed of light - solar photons 

The Hall Thrusters and Ion Drives come in different ISPs, these are just
some sample values.  Note that ISP times 9.8 equals the exhaust velocity
in meters/sec.

The ratio of lunar-pickup-mass/reaction-mass is the same as the 
reaction-mass-exhaust-velocity/lunar-orbital-speed so that momentum 
is conserved.  The orbital speed you will be giving the regolith is 
about 1.6 km/sec.  The higher the exhaust velocity the less reaction 
mass you need.  In the solar sail case the reaction mass keeps coming 
to you from the sun, so it is sort of an infinite ISP.

We are used to needing lots of rocket fuel to lift a small payload, since
launching from Earth you might use 30 to 100 times as much reaction mass 
as you get payload to orbit.  With a 10,000 second ISP ion drive and a 
tether, we could lift 61 Kg of lunar regolith for every 1 Kg of reaction 
mass (98/1.6=61).  This is so amazingly good that it takes awhile to 
sink in.  

With a solar sail the only thing limiting how much you can lift is how
long your system keeps working.
 
  -- Vince


