1013_FM_151_Radioactive_Decay_Demonstration_for_Recomp_II_Computer_Jul59 1013 FM 151 Radioactive Decay Demonstration For Recomp II Computer Jul59
1013_FM_151_Radioactive_Decay_Demonstration_for_Recomp_II_Computer_Jul59 1013_FM_151_Radioactive_Decay_Demonstration_for_Recomp_II_Computer_Jul59
User Manual: 1013_FM_151_Radioactive_Decay_Demonstration_for_Recomp_II_Computer_Jul59
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REC01VIP II USERS' PROORA}l NO. 1013
FM 151 RADIOACTIVE DECAY DEMONSTRATION
PROGIWI TITLE:
~'OR RECO~1P
II
COMPUTER
PROORAM CLASSIFICATION:
Service Routine
AUTHUR:
1. Halprin
Army Signal Research & Development Lab.
Data Equipment Branch
Fort Monmouth, New Jersey
PURPOSE:
i~ter
EFFECTIVE
entering the time of the atomic explosion that
caused the present radioactivity level, the computer
will give upon command; (1) a report of all entered
positions as to its location, its measured intensity,
and the time of measurement, (2) a report of any or all
entered positions at any given time as to the remaining
radiation level and if it is dangerous or not, and (3)
the time when the radiation level will be safe if it is
not already safe.
July 1959
DATE:
Published by
RECO~1P
Users' Library
at
AUTOI~TICS
A
DIVISIO~T
INDUSTRIAL PRODUCTS
OF NORTH Al'1ERICAN AVIATION, INC.
3584 Wilshire Blvd., Los Angeles 5, Calif.
!........ r... ~
TABIE OF CORl'ElfI'S
1. Introduction - - - - - - - - - - - - - - - - - - - - - - 1
2. ~ - - ~ - - ~ - - - ~ - ~ - - - ~ - - ~ - - - - - - 2
3. Time of Explosion - - - - - - - - - - - - - - - - - - - 5
4. Position Readings - - - - - - - - ~ - - - - - - - - - - 5
5. Position Report - - - - - - - - - - - - - - - - - - - - 10
6. Intensity Level - - - - - - - - - - - - - - - - - - - - 12
7. Intensity Sattey Level - - - - - - - - - - - - - - - - 17
8. Memory
9.
Dump - - - - - ~ - ~ ~ ~ - ~ - ~ - - - ~ - ~ - -
17
Summar.y - - ~ - - - - - - - - - - - - - - - - - ~ - ~ - 20
IP
RADIATION DFCAY DDDiS'l'RATION
1. IntroductIon:
The Radiation Decay demonstration 1s ca.pable of storing tor
one to sixteen di:f't"erent positions; intonstlon as to location ot the
posit1on, the radioa.ctiv1 ty intensity level at the positIon, and the time
ot the radioactivity intensity reading. This data -.y be entered in IUlY'
rando.m order either manua.lly using the typewriter or autoaticaJ.ly using
the photo-tape reader.
Af'ter entering the time of the atomic explosion that caused
the present radioactivity level, the computer will give upon ccmaand;
(1) a report o-r all entered positions as to its location, its measured
intensity, and the time of Deasuremnt, (2) a report ot any or all
entered positions at any given time as to the remaining radiation level
and i i l t is dangerous or not, and (3) the time when t.he radiation 1evel
will be sate if' 1t is not already sate. The sa.ftey level that is considered
sate can be determined in advance by the operator in order to adjust to
battle condi tiona.
Attention 1s brought to the \lOrd "denonstrationtt in the title
of this program.
A very accura.te prediction ot intensity levels cannot
be determined without additionaJ. information such as weather conditions,
wind speed and direction,· type of bomb, previous radiation level before
the bomb explosion and more accurate formulas. These omisions were
purposely made in order to have a less contusing and f'aster operating
demonstration. Under average conditions, the answers produced by the
deJD::)nstrat1on should be vi.thin a few- percent of the correct value.
The typewriter should be loaded vith 8 inch or vider paper,
under the type bin cover should be set to execute "tabs" traI
the computer I and the tab stops set as given in the s\DIIl1Bry at the end ot
this report.
the switch
'!'he program descr1t1on starts with an outline
ot
the -.thes.t1cal
theory involved followed by an outline ot each of these ajor sections ot
the demonstration: T:J.me ot Explosion, Posi t10n Readings, Position Report,
Intens1ty level, Intensity Saftey level, Memory
~,
and SUDIlIU'"'Y.
2. P
2. Theory:
Radioactivity intensity decays e.xponentaJ.ly from the t1ae ot
an atomic explos ion according to the equation:
I = intensity at SOlie t1ae after explosion (R)
I 0 ~:. intensity at t1ae of explosion (R)
t
:c
t1lle ~roll expos ion (hours)
c
~
decay constant
=:
0.35
The eOJlpUter could solve this equation using a nor.l Talor series
expans ion such as:
This solution however would take too .any tenas to give an
accurate answer so by using the
Salle
series expanded about 1nf'1n1 ty
instead ot zero gives:
A resonable accurate a.nsver is nov possible 'W'1 th just the
first 3 tel"ltB.
In the exponential equation ~ the value c 1s detera1ned
by the radioactive element involved in the explosion.
Noral.ly~-.ny
ele1lents are involved, each with different values of c and any o't these
elements are cOllpletly non-radiating w1th:f.n a period of 1.41 hours.
A
value ot c that 1s an approx1at1on ot the radiation decq a.:rter an
average atoJl1c explosion is 0.35 and values ot t less then 1.40 hours are
considered the
Salle
as t
= 1.40
in order to overcc.e the high 1nitial
inaccuracy brought about by the very fast decay' elew:nts of the bomb.
Subst1 tuting these approxiat1ons into equation g}results in
A dropping out and:
I
= I
o
[~."'5'
6't
+
o~
7. [
I -- rr
4t =
".
O.If-~
jr,)rI.r
]
+ ,.35
A-e
«t I. - 7iM. At I
J
Hote that At is 1il11ted to
&
period ot 24 hours atter the blast
tae slnce no dates are involved.
Nor.l.ly, however, Io is not known, so sow: reading I is taken
at any convenient time llt after the explosion,
Equation .lJwl11 then solve
tor Io.
Now, a.t
S~
t1lle 6t t atter taking the intensity level I, • new
intensity level 1s desired which will be called I' •
7J or §} Will
Either equation
solve tor I' •
?)
IF
(4-t -+-
I'
4't')
~ ,.~O
= 4;:A1:'" [0.*5" + ~'~:5'A"t']
(A1: ... A-t Y) ~ 1."1-0
IF
HIfS;
H"$;
I':: I
It can then be cOIlpe.red against some value (such as 25 ~)
in order to dete:t:"ll1ne if the 1ntens 1 ty is at a sa:t'e level or not. If
the intensity 1s not. sate, the time t" at which the intensity level is
safe is detent1ned by first sol ving tor t $ , the tilM of' blast to t1Jle
of sa1"ety (equation 9) and then tor t" I present time to tiM of safety
(equation 10).
o Y;
+
+
J
f:~!Z:~ [(O.~E)(I.)J
2 Is
A graph of the intensity level versus t1lle
derived by equation
'])18
rro.
explosion as
shown in the graph on the next page.
Bot1ce that
the top of the graph is constant due to the eiteets of equation §j(1l1n1Jl1zes
inaccuracies around the first hour atter the explosion).
Froa the graph it 1s seen that I. = I I
where I,
one hour after the explos ion.
:&
intensity
,. p
The plot of this graph 1s aJ.a:)st exactly the sue as that
produced by equation no 11:
!.Y
= I ,-t:
!'
= ttae
t
Equation
gJ is presented
-1.2.
(R.)
to explosion in hours
in the -.nual ttThe Effects of IfUclear Weapons"
printed by the Departaent ot the ArIq (DA no. 39-3) in May 1957 and 1s
explained on page 432 as a good approxr..tion of the radiation level at
a given point
SOlIe
tiE
a:rter an atoaic explosion.
This equation 1s introduced llerely as a check against the
presented theory as it was not discovered. until a:rter the
~nstrat1OD.
vas
progrlll8ed.
3.
T~
ot Explosion:
Pressing preset start button (or transter to location 5200.0)
will cause the coaputer to ask:
TIME OF EXeLOOICfi:
Arry
tour digit Military tia! group troa 0000 to 2359 is entered.
AD:f
deviation froa the 11.111tary t1.D! format will cause either
III/?????
to be type.t\ and. a new
\
t~
called for.
IIII
ERROR
After a t1Jle entry has been accepted,
all previous intensity read.ings are erased and the cOJl.PUter asks tor DeW'
position readings.
4. Position Readings:
Pressing pre-set start button
DO.
2 (or starting at location
5000.0) will cause the heading "POSITION READINGS" to be printed followed
by the question:
POSITICIf NO:
6. p
oS~O!:Jr-a.-_ _ _.&..-
P;f!/n'r
~/N'-:
I'hTe/'/Slry
7//17e c::?F
Gp~as/~IV
----..a.$:;~7 y j..£t'£L
"aiO~
(ReNT, / /I,e )
LPtf-T
/Jti, /1J ,a~~
IAlPur
;::kINT
IIII?????
50$.,2
E~.e
(~,ej)
~IIV'
1//1212~<
* • • ••
f?e//}'I
1111
6R~o,e
{jaNV4~r
-z;
t:£()ArIN~
;::6/NT'"
S
.f~.3
JTo/e.e /J.5
8L/iJi
:-r;nJe
J;/1T/~ (L;,)
0'.1.30
c,t.WSC ~/..J..
~.ev''''tI~ hSIli',
~CUde. J,.~r'#
I4
.:5rOA"'.<;G£'
t5/7t>
f6~/r/"N
~bIN~
n:;'Ii'£
S,qFk- r
f)s
},
L.VlirL
A nUllber of 1 thru 16 is entered.
Negative nUllbers" non-nuar1e
characters" or nt1I1bers over 16 rill result in the error print-out:
IIII
NOllE
Af'ter entering a correct pos1tIon mDlber" the cOJIpUter asks tor
the position location.
and then
In both cases" enter a positive integer
A negative entry or a non-nu.eric entr,y causes
1111m??
[
The tiM
or
five digits or less.
the replY:
I
IIII 5 DIGITS
MAX.
ot the radiation intensity reading is asked tor:
Enter a 4 digit a1litary time group between 0000 to 2359.
!ilmbers appearing outside ot this range or an entry of a DOD-J1UIIeric character causes the stataent:
[
IIII
ERROR
P'1al.ly" the intensity reading Vill be called
tor
Any po8itive integer ~ be entered up
entries or
non-~r1c
causee
type-back.
the
With:
to 11 digits. Negative
character entries are detected by the cC3pUter aDd
////?'1???
8.
f>
Arter the intensity level is entered, the computer ccmverts
all entries to the proper format and stores them in the correct locations
corespond1ng to the desired position.
A nev pos 1tion number is ca.lled for and the cycle ot entries
just described is repea.ted again.
As post t10n reading data is entered, a:ny
previous information a.t t,hat position is replaced by the new readings.
A table ot all pos i t1.on readings entered v1ll be typed. whenever
the poe! t10n number of zero is entered.
In order to automatice..lly enter a complete set ot radiation
intensity leve1s, follOW' these instructions:
(1) Enter time ot explosion.
(2) Enter all desired position readings as described in this
section.
(3) Chec k entries by pr1nting out the table ot all pos 1 tion readings.
(4) Using the inclosed memory dump (see section 8), punch out all
data between the locations 5600 to 5771.
(5) Punch the explosion time data. in location 5225 to 5227.
(6) Terminate the tape (a.1so see section 8)
(7) This tape may nOW' be entered at any time by loading the
the tape in the photo-reader and pressing the Ut1ll"
button.
All previous readings will be replaced by those
recorded on the tape.
Fit-'Nr:
f?:,~1
PleiN.,.!
Y
//ON
~Ai)IAlGS
:
:T,.,Pa,
..:f"WtJ
N~AI8E~
seT tip
,.j),qrA
$/113
fj/)JIfl!:JSt!S
•.. ----~
PRI/vr,'////
P;f!u'tlT.·
S' .);,.,rs
/II/?l???
jJJAk I ftUI HI
::z;.,/;)u. , -
.M. Iff 1iJ~-1f
~
P~/;YT.·
Ih'TLNS/7Y
~'/Nr
..
I//Ic~~~?
.. .
SrO~G
INlbY:llry
~7~
10. F'
5. Post tion RePort:
By entering a position no. 0 in the position readings section
or
the
(pre-set start no. 2) or by starting the cOIIpUter at location 5240.0,
a coaplete report ot all positions entered, their locations J time ot
reading, and intensity readings are typed in the following tOlWLt:
Pl"Ograa
POSITICIi REPORT
TDfE OF EXPLOSION: 1023
NO.
IroA'1!!CIf
TDIE
1
12105 00237
1058
400
2
09012 12315
10000 04000
1236
30
5
1005
12
5
9
14
00305 01212
1309
0437
1334
l5
o4olI.o 40404-
2144-
16
l2512 51252
0756
00001 02000
lJITENSI'l"'l
19
500
It no posl t10n has been entered since last enteri1'lg an atOll1c
exploSion tiE (which will erase &l.l previous readings), then this
report 1~ given:
POSITION' REPORT
TDfE OF EXPLCX)IOlf: 1023
BO.
LOOATION
NOD
After either report, con1Aro1 1s transtered to the "intensity
level" section ot the progr. . which is described next.
II.P
I~Y/)'r: ~;T/()'
Itu,r;"",
~,D,.?E"" 7/h/£ ~--t Af,ql)l~.s
4,:' £XPIJ:'6h!.JN
PR/Nr
eXPLc),,·/~N
7;/Ni
iklNr IIN.4j)/If,'6:
~, LO~l9r/~,f/
..:fe-orr
nil" r
Hn~
aFP"
11l)"'H~Jr
/Jj)D~:S-$ 7;
/VeXT
S~'2~
i'J.s1 r"DN
____
~r
"--"--1
~
_____
tJPL/,stJ
/6~ur/~N )JJ9r~
/f~.eISS6S
PRINr
PoS/T/ON
lYu/'JCJ4,e
.5'; ?If
!?e,NT
X
Lot!,:) r
PIC',Nr
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R::~iJN'''~
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11 r
4:1" r/c:t;V
,o,eINr 7iMI
o~ I'llT4W~/TY
~"i)IN.
12. P
6. Intens1ty; Level:
Preset start 8W'1tch no. 3, location no. 5320.0, or ten&1aat1on
ot a "position report" will cause the c~ter to type the headiDg IUI4
tiM ot the last entered explosion:
Ilf!'ENSr.l'r LEVEL
TDIE OF EXPLOOIOlf: 1023
TIME:
The last line typed vas the request for the t1lle you wish the
1ntensity readings rar.
0000 and 2359.
Enter a.
tour digit llilitary tiM
group between
(note: Since the date is not entered aJ.ong with the tt.,
as "intensity level" t:tae entries are considered as being within 24 hours
ot
tor each partIcular position. Also, each
is considered as being within 24 hours o~ the
the "posit1on re.d.ing" t:t.e
"posItion read1ngl1 tilE
t1Jle ot explosion.
To avoid
e~1on,
try to keep all
t~s,
both
"position reading" and. "intensity level" within 24 hours ot the
tme ot
explosion.) TiE entries that are negative, or not in proper tora v1ll
resu1t in the reply:
The next entry request is far the position mDIber.
positive interger between, 0
Illid
16. Entries other
Enter
~
then this will bring
the rem.nder:
["
IIII~_._J
Also, it a particular poB '1 tion nuaber 1s called
~)r
that vas
never entered, the s. . reply is given.
Ot.hervise, the intensity level at the "intensIty level" t1lle
requested is cOJIPUted and typed tor each position chosen.
It the intensity
level f'aJ.ls below .. pre-set value, the words "lfOII DAlIlERClJS" v.lll be typed
instead of the intensity level value. After several "position no:" entries,
the fonat will look like:
IIfrENSIT:i I..EVEL
TIME OF EXPLOSION: 102,
TDE: 2000
POOITION NO: 1
1lfl'ENS!T'{: 232
POOITICfi NO: 9
:t:N'T.ENSITY: 512
POSITION NO! 2
INTENSIT'l: Nor DAl«lERWS
POSITIOB NO: 8
IIII
NONE
I1' the dea:>nst..rator desires, .. report as to vhea the intensity
level at each position Yill fall below the p-re-set sattey leve1 is aJ.so
presented.
down.
To obtain this add1tional infor:..t1on" sense svitch C
The t'onat
tor
the Salle
.ust be
previous exa.ple will nov be:
Ilfl'ENSITr LEVEL
TIME OF EXPI.£X3I(lf: 1023
TIME: 2000
m
POSITION NO: 1
INTEN'SI'I'i: 232
SAFE
POSITION HO: 9
INTENSI'lY: 572:
SAFE IN 47 BRS, 57 KIlf.
POSITICIJ NO: 2
~SITr:
POSITION NO: 8
/ III
20 HRS, 22 KIll.
NOT DAmEROOS
NONE
A complete report ot: what all intensl ty levels would be for each
entered position at any given t1lle can be had by entering 0 (zero) when
asked tor the positIon number. Again, it the time at which each position
Yill becOlIe "safe" is desired, Just turn on (dawn) sense SYitcb C.
Therefore, vhen asking the cOIIIpUter tor position nuJlber 0, the cc.puter
will type, depending on the position ot sense switch C, one ot the
following eJCIUIples:
mTENSITr LEVEL
TIMEOP EXPLOSION: 1023
TIME 2000
POSmOlf NO: 0
POSITION 1fO.
IlflmlSI'lY
1
232
2
NOT IlAltGEROOS
5
NOT DAl«JEROOS
572
9
14
Nor DAlGEROUS
15
NOr DJlIl.EROOS
16
320
II'l'EdSITf LEVEL
TDfE OF EXPLOOICIl: 1023
TIME: 2000
POSITICIf NO: 0
POSITION NO.
1
IHTEllSITr
232
2
NOT DAiGEROOS
5
9
.14
N'O'1' llA.NGEROOS
1;
16
NO!' DAmEROOS
572
SAFE IN 20 HRS, 22 MIN.
SAfE
nr 47 HRS, 57 MIll.
SAFE
:m 25 HAS, 8 MIR.
HOT DAlI}EROOS
320
When 1m 1J1tensity level is cCBpleted, a new tiM 1s
requested.
If no 1ntor..tion was entered tor any positIon swe the
last explosion t1lle was entered" the word "NONE" will be printed
under the PCEITIOll NO. colUJlrl.
IS.P
j
c:5"6.?O .¥..._ _ _ _-+-_
/ll>vn,,*,CE
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'. "':INTeNsITY
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17.
p
7. Intensity Sa:f'tey Level:
Normally, a an can live sately in an area that has a
radiat1on. level of 25 R/hr.
This 1s the val:ue used ror the
level :tn. all computatiOl'lS with this demonstration.
1f
sa:ttey"
ltowever, you.,. wish
to change thts level to a higher value because ·the men B83 al.l be inside
·tanks or have protective clothing on, et.c.
5555.0 will cause the computer t....o
9,.9k
Any positive int.el'ger up
Entering the program at location
the question:
to 11 digits JAY be entered without
receiving the error reply:
11I1
71117
T'his va.l.ue is then stored as the ftsa:t'e" level until it is
again ch.an(.sed by using t·ile same procedure as above.
8.. MeJoc;ry
D!}!l?:
The memory dump routine is entered at location 0101.0 and
begins by displaJrine two ~oups of 4 zeros each on the d1spla;y tubes.
r±ro:I?IoIolll
Pressing
any'
I
1oIofofoll
I]
octal n°um'ber key on the keyboard (0 - 7) will
cause that number to be entered into the right most digit.
As lIOre keys
are entered, the last number is entered at the right and the previous
numbers shifted left one digit..
Only the last eight digits entered
ere displayed with the "+", "-", u811 , and 119"
nclear
lt
The
keys being ignored.
key vill reset the dj.spJ.q tubes to zero as shown above.
resuJ.ts produced by pressing keys "start", "ent.P..r", or
It."
The
will be
expla.1ned separately.
A.
~.J4emory
Contents:
If the
II
start" key is depressed, the data between the
le:rt and. rig,ht address
~howing
on the display -tubes at that
time are typed in Rec01lp COlIIIMnd tonat with a reference address
typed every
a words
(one word per l1ne).
18. P
B. Punch
~ry
Coni;ents:
It the hent" key is depressed, the data between the left
and riy)l.t address showing on the displa\Y tubes at that t1Be
are punched in alphanUJleric forat aJ.ong with a leading length o't
blank. tape leader and a location code corespond1ng to the lett
address
c.
~ocat1on.
Punched Tal?! Term:Lna.t1on:
After all desired
a.reae
of
'8!!J!JIDr'y
are punched on tape,
the tape is terminated by pressing the key arked
keyboard.
on the
tf."
This will set up .. nev location code corresponding to
the right address group shown on the displq tu.bes, punch a
HALT code on
tape, (or it sense switch D 1s down., a
code I) punch a blank tape tra.1ler I and ark the end
~
ot the
tape
wi th an E punched on the tape.
The JIeJIOry dump routine
area
~
be used to g1ve a listing
ot
any
ot the program by using the addresses shown on the now charts or the
routine
..v
be
U.fSed
to ptmch add1t10nal cop"ies of the prograa.
When
punching copies ot the program, remember that locations within the .-n-y
dUJ'lp portion of theprograa are changing.
verifY with the
punching the
IllelJk)ry.
1Lt'e8.
Therefore, the tape will not
This can be partially taken into account by
0000 to 0177 last (JIIelW)ry dump routine) and then when
the verify light does come on, lIOst of the tape shoul.d a.lready be verified.
The verify error l:tght should never come on however a:rter first tilling
the tape that was punched.
I 'J. P
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FMtlT
IUDItf'.,s.1
2O.p
9.~:
Program Storage:
5000 to 5777 (program &lld storage)
02,"{0 to 04,37 (special data output)
3000 to 3137 (data input routine)
0500 to 0517 (alpha.n.uRr1c OUtput)
0000 to 0171 ( memory dump and preset sta:r1i locations)
TAB Settings:
~~-+- 8*4-4¥-6-+-6~6+ 6~6-+-6~6-·-·)"
Preset start Buttons:
1. TiE o"r explosion
2. Position readings (and position report)
:3. Intens i ty Level ( s )
Other entq
locatlon~:
5240.0 ---- Position Report
5555.0 ---- Intensity
Satte,y
Level
0101.0 ---- ~J DuMp
Sense SWitches:
B ... _-- Not used
C ---- (when on) will pri.nt t1lle when intensity level
is sa.fe.
D .... _- (when on) will cause a memory d.uIIp tape to be
terainated with a "start" instead of
a "halt U code.
For copies of this demonstration tape" description of the prograa,
or additional. information, contact the following:
CODDal'lding Ott1cer
USASRDL
Fort Mo1S>uth, N. J.
attn: SIGni/EL-NPE, Mr. L. Halprin
Source Exif Data:
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