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Model Forum / General / Rockets / February 2008



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How hard was it to hit the satellite?

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silverfox - 24 Feb 2008 05:30 GMT
I am not a rocket scientist, but it occurred to me that it must be
extremely difficult to  make sufficiently accurate course corrections
on such a fast moving missile.  Besides continuously acquiring the
position of the target with the necessary accuracy and then computing
the heading and velocity of the missile, it must also compute how long
to fire which steering jets. And the jets must be very powerful but at
the same time very precise.  It just seems to a relatively uninformed
person like myself to be a near impossible task at the speed involved
and given the size of the fuel tank they were trying to hit.

As I understand it, the closing velocity of the missile that shot down
the satellite was 22,000 mph, so at one second before impact, the
missile was still 6.11 miles away, which means that a course
correction even at that late stage had to be about 0.108 degrees per
10 feet of accuracy.   There must be a point at which you must make
the final correction with the greatest accuracy.  The timing of that
point depends on how long it takes to do all the acquisition and
computation, and then take into account the response time of the
control system.  So, I wonder what is the last time a useful
correction can be made at that speed.  T minus one second?  A tenth of
a second?  And what kind of force does it take to steer a heavy very
fast-moving missile?

So, like I said, I am not a rocket scientist, but some of you might
be.  Has anyone made a serious attempt to compute what it took to do
this?   Was it as incredible a feat as it seems to me?  It almost
makes me think that they really didn't do it, but it is probably just
my ignorance and natural distrust of the government to blame for
that.
Smaug Ichorfang - 24 Feb 2008 14:31 GMT
silverfox <dcfrench@gmail.com> wrote in news:2053ef2b-8b00-41ea-8c1d-
bb71c8b756f5@n75g2000hsh.googlegroups.com:

> So, like I said, I am not a rocket scientist, but some of you might
> be.  Has anyone made a serious attempt to compute what it took to do
> this?   Was it as incredible a feat as it seems to me?  

Well, yes it was almost incredible (meaning beyond belief).  The math and
physics, however are rather straightforeward.  Almost all the factors are
"knowns".  The orbital elements were well known.  The performancce of the
missile is well known.  This simplifies things greatly.  From wikipedia
article on the RIM-161:

       Radar finds the ballistic missile target and the Aegis weapon
system calculates a solution on the target. When the missile is ordered
to launch, the Aerojet MK 72 solid-fuel rocket booster launches the SM-3
out of the ship's Mark 41 vertical launching system (VLS). The missile
then establishes communication with the launching ship. Once the booster
burns out, it detaches, and the Aerojet MK 104 solid-fuel dual thrust
rocket motor (DTRM) takes over propulsion through the atmosphere. The
missile continues to receive mid-course guidance information from the
launching ship and is aided by GPS data. The ATK MK 136 solid-fueled
third stage rocket motor (TSRM) fires after the second stage burns out,
and it takes the missile above the atmosphere (if needed). The TSRM is
pulse fired and provides propulsion for the SM-3 until 30 seconds to
intercept. At that point the third stage separates, and the Lightweight
Exo-Atmospheric Projectile (LEAP) kinetic warhead begins to search for
the target using pointing data from the launching ship. The ATK solid
divert and attitude control system (SDACS) allows the kinetic warhead to
maneuver in the final phase of the engagement. The KW's sensors identify
the target and attempt to identify the most lethal part of the target and
aim the KW at that point. If the KW intercepts the target, it provides
130 megajoules of kinetic energy at the point of impact.

The KW actually "spins" at a low revolution along its path of flight.  
The tracking software tries to keep the target centered in the sensor.
You're right, everything does happen at an extremely high rate of
closure, but in this case the target is on a "fixed" course and not
evading.  The target is not going to vary in its path.  Other variances
might include weather (winds, atmospheric density, etc), propellent and
flight variances in any of the booster phases, targeting misalignments
from ground stations, acts of God.  This is a self-correcting system with
a high rate of sampling in the feedback loop.

Check out the picture of the KW on the binaries group.
David Schultz - 24 Feb 2008 17:41 GMT
The kill vehicle in the ASAT used dual 1802 micro-processors. These have
never been the fastest computers around. 16 clocks for a fetch-execute
cycle (no pipelining) and a fast version used a 6.4MHz clock. Their
claim to fame is that for a time they were about the only radiation hard
micro-processors around. At least if you bought the expensive
silicon-on-sapphire version.

That should give you some idea as to how hard it really is. Or isn't.

http://www.astronautix.com/lvs/asat.htm
http://en.wikipedia.org/wiki/RCA_1802

Signature

David W. Schultz
http://home.earthlink.net/~david.schultz
------
"What you don't know should be a goad to make you try and find out, not
an excuse to bliss out and sit drooling into your filet mignon." -- PZ Myers

silverfox - 24 Feb 2008 22:42 GMT
Wow, that IS amazing!  That is the same computer they used in the
Voyagers.   It doesn't make me think that the task was any less
difficult, however. But it does suggest that the timing constraints
are not as restrictive as I imagined.

> The kill vehicle in the ASAT used dual 1802 micro-processors. These have
> never been the fastest computers around. 16 clocks for a fetch-execute
[quoted text clipped - 12 lines]
> "What you don't know should be a goad to make you try and find out, not
> an excuse to bliss out and sit drooling into your filet mignon." -- PZ Myers
Smaug Ichorfang - 25 Feb 2008 00:00 GMT
> Wow, that IS amazing!  That is the same computer they used in the
> Voyagers.   It doesn't make me think that the task was any less
> difficult, however. But it does suggest that the timing constraints
> are not as restrictive as I imagined.

I would have sworn they used a 6502 in the Voyager series.

>> The kill vehicle in the ASAT used dual 1802 micro-processors. These
>> have never been the fastest computers around. 16 clocks for a
>> fetch-execute cycle (no pipelining) and a fast version used a 6.4MHz
>> clock. Their claim to fame is that for a time they were about the
>> only radiation hard micro-processors around. At least if you bought
>> the expensive silicon-on-sapphire version.

I don't think this is the same missile they used in the recent shoot.  The
ASAT is different than the RIM-161, a variant of the Standard Missile, see:
http://en.wikipedia.org/wiki/RIM-161_Standard_Missile_3
http://en.wikipedia.org/wiki/ASM-135_ASAT

1802 - wow that brings back memories.  I built a COSMAC ELF way back when
and added a math co-processor. I added a couple of k of memory using
Hitachi 6116LP3 static memory chips that would keep programs with battery
back-up.  What was outstanding about the 1802 was the clock rate - it could
be *anything* up to the max.  Even single-step pulses. I also had a KIM-1
6502 single-board computer, and an ad-on expansion board.  The KIM-1 had 1k
of memory, the expansion board added 4k and a PIO chip.  With these, I also
learned that most of programming is driven by coffee.
 
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