fit & YlllCLI • ·JADlAL UlaSS fit WIIIJffS ·AID

·~or:rmlB_

-- ~~ o-\;

~G.Il4e '0

!besiS ~'tea the· ~. ,ael'ir of tae

VhWbda 1D1Iwcbllo lutlt'tlW

.,'

~'\J' . 50/55 V.'6SS

t~·~b . fi'/:'(i3 ~

i "

. .. . . . . . . . . . . . . . . - . . . . ..... .

."" « • * • • • • • • ~ • • • • • • • • • • ~ • • ~ o

• • • • • • • • • • • • I • • • • •

• • • • • - l • • • • • • • • • • • • • • • • •

• • ~ • • • • • • * * • • • •

• • • • • • • • • • •

~IUW.'G or ~J!r,,;i.~~~ of lIJ;~.~'\e. ~ ~~..uar. ""t . ~ •

~~:1oa 1Jw:'~

.~ClL"II~7" In lle.l~ L .~

Alatut rJ2 tar 'U'2,,~~ Value$

K~tlP S. ae.14ual S»;&a ~t·-1- t ... ~. sa

... _ ""lolA ·~:eJ,;era;'1QC Pl.C!~g~ A1~.' V_~ V.lJ;uu~

farloai De.~atiOD A&1Wl~~'t! !18 at V_'!f"'1t.~I'f5 ~ f~ ..

tloa IaU_ tor .1 1~lr *

Vatta"lGa or B~

• ~ . • . . • .4. ~

Ia the ana of .,.. ~'1GD, ,s.. ,ola'ia1 , •• ~ ,. ~

tor ... ~b vebiC'le 'SA .,... 'le UJect ., paflctl4 ~ elUlttI" ,.

_c •• d'tll _1»1t a'bRt \be ~, a wCHs.tslU6Jee..,.. ~

.. lea,Jal .~.cu, or to _m_m .... tabU'., of ...... ,-.1 ~

.~_., 1iG "reM al,tl.tU1tJa,. ·1De .. at .pla -"UIa"toa 1.

at'.levi_ Vii. accuaCJ •• pr01'. YerI' Altabla tor "Riole. v1 ... '

tlM1 ataptddarlQe .,..... .....1', U Ute ~"'''e .-._

... ·o~. 811m aw, aM. t._ ... 'Uat ~ ,. $tali11i.t4-,

4-111 ... tiMl 1lioo$' .... $ ... ' nOml,iialias ,lAt,... "" ~.

0. _~ ... ilable •• ch1 ... tIlla lWIa"'_ h bJ .. \1M •

"'roJetl .0\_ .... .,.'1&111 '* the cuc..,~ of II11oat. ~.

_thai ie ,he .. of we1l"tI _ the .. , of t",dllle -"lea Va, ' ..

na..Ge4 .Iroa e. _1~ ..... ~~ 'to ___ ,all 'OJ tile _,100 ot ~~ ~_t'11. J~~ JNl~'. ls~ •• 't

this :lD1e .. eatire ... ~ . .,.. ~1e $r.~ 1 •. Je"l~. alit

_tl104 ,. ~ ee11a4 the 'i,ff,o_,ol1.,stea .... vas r~d ... ·19

~/d ~1oa ~torr.,

The· _~ la •• 1~ • fIe.ift14 .»18 nto ~ ... awo i.

ie,...,..t _ ,he a'b111_ to ~Mtc,.tIle 1ot,1a1t,da __ aIl4 ...

_at or ~1a fit the PlW1o.I4a.t;out. theNl1 axle. "'.e"" ,_ 1t'¥O"7Gf~ .rn.. toe. DOt ~ ca ~cJaa1e. to ·tIle .~, d ft_,.. JeU ..... a .1lO1i ave .. ~18. ., JI'O"i4lDs U.-.al tbNet

"*ltd", of "We.,.".. .the ti_ ,refl\l1N4 to ,"~a,Ut ,11 t4 tbe o:ntei*

ottenths of .~1fb1ch v.0IlA ret.Uft ~ ~ta .".. ",."._

.. ,,....

,. ~ ,.,~ •. \Illea a80 alt.a _wie .. ~, &ft&wr

-111'1141,,18 ach1 ... _.e8 ~ ,...,0 87-"'. COIJpl--lr .~

or !ai,tal ... ,. _tflh

.. 10-10.,." ... -.u4ll sa nten.e 1 tfIIl." cue wile ..

\be' e&bla_ 18 cou1tenl aealil"1e .. 1. "leu" ... 'the

,.,lat4 __ eu.t~ or lWliQlr. XB nte~ 2 ......... ..

• 1Pt.\84 force. ue 8Iell-- wi ..... Ie of tid ___ tba~ ta

tao~ Ia the ~ SIS _ .. ~'loa •

." ~, fit tfbie aWl¥' is to ftaI ~, ~'- Ie ..

~ of .w.e otf1a1" ••• _ 'the ••• ., .,~ _~~

ft~ _ ~ '\be tal,tal .JTia __ to -n __ .,.~'l_.

!be ,,--'oas otlllOttloa .. t.lft4 iD ~ 'to .......... as..."

COBil~ _ ,.., .. east_it., --rIIl- \b.e , .... lted __ *i_. ''Ute ile ....... _., tAeftB1101d8 _ the .,,.. .... ~" 8'~,

.... _let •• 10118 tha,,,, ~ e~te4 for It ",v ... $.t~..,~U •.•

... eq.re.et_ for • trant_I ~_'ioa 18 .sa __ 1- ..., .. la .­

~u \0 .. ~ tilt diM' ot e:t"Orl·iA ..... _ '* ,-:1.,.. ....... ilWelveA.

B wtal eMI'&1 of ".'tiII &7."" ft .. 1'b

, cable 'kUlca, lb

I ~'t .J'AOIiIim~. t', .. ~c

. I lNW7 "U ...... , ot~ ~1a, __ .ttl

~1 ... of ctJJlea PJrWd.' l.e8c., Itt, __ .,n t;i

I, .,.taac. __ eahle 41tt~t.al e~ot ~le "" ·ft

L ler.cth of Ilext:01e ~ 'he s~ ., __ ,.,~ W

the Ga'Mr ·fIt -.. the veiabt., It

... • •• of U. {. 1'/Ulo, KiL, sl;use

..... r· of 'WCU~l" .. ~ otta'b~ ... .:1. to 011 pea_ .. tl'aIl We

a .. lUG of ..., ~ 'Ule. __ ." of ntat,ioa, R

, kiaet1c f!:ftWlr I It-a

v 11~ velDcltr'~ft/MO

xlr tlXe4 ~_ 8YI'1ea

of ooatac'i with tOt c~~e ot th.

(He'16. 2)

.. 7 ..

~ ~ the 11M. ttoa ~ .ate~~ttea to

tile JOmt of _ole .... n with ... .,.. ... " JOJa"

tDei on the JIIlteI (_ til. 2)

.. MIle ·betveeJi the I 6'11. aa4 • Is.. ,.. .... _ of

~taIl 1;0 • p.1lDt tiMI· oa the .,lteI·

" _"0 of tlrtal _Sa nne 10 1a1Ua1 Qia ._

Al .... b·"$~ •• n.te, ~ ... At 1f ~ VAal ts. ~ to · .... ,ta

~JW

a act'all7 Uld.~

e ~.'aa to ~le.

4 •• ~

t ~lrtal·~'lcms

1 1-·M'b1e or .lIb' ~, J J&'t\lele·oa 1 tb, cable

II ~Su_ w at;~ .sea ilia __

4) 1a1ttaleoa4l'tiS.-.

, .... ~ to .,10&4

tae ~f'.eleetitm fit • ~ ot eeble awa """ tor ..

al'tWi·· ... - ...... t ... p-. oa'b1e ~ ie ft9.Itn4 lDOft1er to

o'b1em • ~1QMl. ~tloa or laltta1 Qia a. __ to ~ a

~t_. plattora., lbil .~. aa1eo\1oa win __ 'er .. ~

~iCc tle 1U'lI.1.~IWIINl'tall to.tJae ~le tat we.'_ ue'lea &1\ .. '" tD&~ Of ~-Jl ~1 f"Yi41De U. ·If_",

~loa III $pta rate Of· tbe ,.,1014. JOI:1_t.oa tor \he ·"1 ... Of the -iCh" .. ~le.·· U .~

the wtat .. they are coU_ vt ... reM. fp)a. tile of ....

l8llte& ¥ht_ G01DC14es with ~ ... of. :rota"" 61 ••• fa ttaue 1.

,.-ltlOa b. dlOHn ~ the ert:rOJ' .ia naUkal •• __ ~

• JCl".lblen1eaH o.f the _'ble~ at .. Ufile .~... ,,-

'ftd.8 ~. tile ~.1. of .-. ~s1~..utS_ m .,. ,. •••

lR .. pbaIe tbe l$\fla41D1 f~ c~ereace $0

~le 1e ~n4lettlar to " ftMUu. t.roa of

~41l,lv Of ~7~ tke· 1Ut1eu1tr 18 \bi. ~ to· __ Me_1.V

daAl~111_ the ~ eaer •• ., tile ..:olea ~ .. IF .. eea~ot

_., a1llf:le the· centera of ... of tbe ~ ...,10 '-loa are eou~

~. ~ ..,u_tlOll COI88 tt'OII .. tM:t tlte -'I.e IlO\ I'Otat.&Da

.. , a fbet1 lOa' _ tile Q7~ at ,. _lIAa. .. ...... ___ ~1eI .1b the ... ~ _, Ie ..... ,ratskUOI'VUt 4wJ to tile .. 1e

l'Ota,,, ... , a f1a4 ;polat CD the l'Otatiq 07J.U.4er.

- 9 •

y

x

----------~--~~~--------------------------+-~---x

Figure 1.- Instant of release of weights and cables at n = 90°.

f.!!!;Tf!:t!'!t of g...~v1t7 is ... 1eete6.

!be .'tache4 v.'sh'. aH· ~~ »clat __ .~

~~. are fle7~1., ~~ebablel .. tJt Wd.~ ~l8rr

mGt:1oa e.~lMAl no cro ••. ~~:DII~

... ~ ~loa c the _blau ecul4eN4a .,~ u.. ~t Nth ·~a of .. i'IOtt.,.

.. 11 -

VID.- »IIDAUOI or _'lOll I'D IJ1U1IIIIII L1Bfm OF

CABJ.a oa .. ~ to __ 180 JDBlIUAL ••

!a .... flo tltd th. le~ of cable ~ W .~ uro

na ... 1 apia iB tb.e ,.,1caI, the 1nttlel UtI tiMl .. ,lar ..... U4

111-'10 _ are .... te4. ' ... ....,. __ .3_

. ~ ,'I 18 tile tiMl _ ([ff 'tbe ltb --... iJct,f ia.\1I8

tiMl .... ,_ of the I'll Qlble

.. 0,

_ tla4 \he ~ ..... of the ea1Jles. NtenMe $A ..,

t~ 1. It. ~ _ of .. 3th pa:rtlo1e Oft tM ,- Gable at

.. ~,·of nleU.e

I· ,t • (I .. I) IC11~

wbe" a + I ,. the 4la-" of .t,be Jtfh~1e .f'rCa tke .~.

(1)

(4)

a.nrtaf,loa 0'1 the .~- pwtlcle ~~ ., _~ ., .. IlMl

l.taft" ... be atated U

L lel" .. 'tOos,r (I + .• )1 ••

__ 'loa(,) .vea \be ~ ..... ct .... lA .boat the .lam

wh10h iDel .... the UlUlar _.~ ·fIr __ caDle ~ 1ft ....... ~

Wl. tM .. ..,'loa .. t ,he la41v~we1lll'8 .. Of ... ~ .. _

&n4 V-t the 1D4lvl6Aa1 ~1e8 an o~ ~ .~ .U4 _1& pal' at,

~\h;

With tIle_ :relat1Oa8hl" _ bl ".tltt.l'lDc eqMtt10Qa (2) 'to (,) in.

6\V&-&1OA (1). tile toUov~ ~'ton ;relUl's~

(t ... ., + sa.a2)6" ... [II(L + a):r.... .," + 1Gr

.. '·~r ,... ,

D r,,.,..,

"t'" ) fOl,,' ~.

1-1

+

(1')

(8)

_ .u.\ltaltiac ~ ftl_ peYlousq Ob~ tor '." 1n ..-UOa (ill

.... fA_I AI, trca 1,. 1 'to AI 3Ae4. to.

!Ito f1a4 tile ....,,, of 'Che ""leI,. Mfer ~

ene'l!a 18

~ .,.. -18111 UtI ·ae .~. of tlte lUaetlc ~1e. .. ea1'Ile'

.... , ... 0WIl cetlterof __ .tore, allb.'iiU'. e..-"'" ($),

',), .. (10) 18_ ... '1_ (7) ;,1eltk

lo1'flCi ... '.1one (6) .... (11) .,..

¥1.~

(10)

(n)·

.. )-~L":IM .. O

(12)

.,.tloa (12): 1. \llea _1ve4 'or L. The H1u.\1Ol\ 'or L vill,bU

el:tHr ORe ~ of c-.la 'foot •. ( .. -..t1ft :real ~ .. ODe ~l'lve

real root), three __ '!"e ft)Ot_ .. OM" .. lt1v. root_ t"pain

c-.1ex root... boa·the pbJIil10al a1.1isf,lOl\ • ., JOSl'tlv. na1 roo,

1~ ~ to achiwe zero rcal4ual. a,lJi. AU al;tenaw _tbOfl

tlould. be to dloos. .. at a:ble "eo1" •• ".tt_ (JR) t ..

.. - of \be wlsbttl, elnee Otllr N.. te~ en 1Dolve4.

"lor .\be __ ~re the _181a ~uiM~ USllSl1)lel tbe

_l~lIt:l." t ".I.e.

+ 1 *~.

D. JIRlYAUOI or ·"'lOD to ~ !Ill LJtIIft.

or CAlLI OR _.Of ~ __ m _All DII_ ·BlSlIUALIIU .. II

Xa ~ to " .. 1iIe 1ftrcth of .. 1 .... - of tile wtsht nwai.f1e4 to .i)1HdGa .etnt. n,14ual ."a, 'the .... JJf~ 1. ~ t.", \be

all*d- ___ ......... _JaNu,.. la tMs __ \be tal'.l ~ ft1oel_ ._, 'be kaowa to ..... 1' ea4 ac~, i& 'e81ftti.

file ~1llar~\1a .., be ft"1\\\m 8$

(,,)

(16)

(11)

(18)

· '

'. '2 (1 +1)",1 + lcit •• - ., ... viI + a) ".' .......•... I.! IIfU,.Jli 41 .........,;;,. . ~ 1 ., R

l\tH\i'&1atflltaOtl.Uo. (U), (16), (18), .. (19) ia_ -..tioa(14)

"lelia

(a)

_[(L +.);., t .. iA,]1 I'a.. t ...' Ii. _II . It& r j . II I. • .. I , I' (elt.)

t'ae e~ of .. ~_ the cable

.C.t ·I~* .. I)\,r ... k:tJ2 41

lUuU\1I't1Dl-.atlGD8 ,II) (e) lato ..-'10& (11) ri.148

U.. .. d>t"oi .. ~ ... :£ .. <_... )L ... ell ... ")L2 ...

($6)

-..'iUIl (20) aa4 (26) we thea uolYe4 aUu1~.l¥" 1. ...

.. 4eeUd _10 et A, A .~. JD.~ to .UW1if1 • 8Ohltl." .-rit$l eoeftlcieata ~ '* ~ sed ___ •

.... ,,1_l1h,

(IT)

B .1 + • + tP(_ + t) + -~ + e~ ...

c .. t.a~ + ~~ + u.~ ... 2~

D" to2(. + ~

~tlllieCl8dC' •• ~ ~ o'bt&1D" .... "1-. of .t1OD

for .... teut o:odl't1Ou~ ae _tl_ o~l4Gft4 ta wo _,..1le ,...... III V. tire" -... the cable. ueCOll':tetelr' ~ t~ ..

JU'1oe4.'11 t.De7 are eawah4 PW.JeD41~ a ~1ufI ~ .t1le

_'-' fit· rota,s.oa of ... "'~1' ~ ,.coM __ ., .. •• of JbMe 1 vlith ,- eab1e." w.l~ NYOlv1Ql .'bwt tile JOlD"

of .'tMt1wteIl' \0 tM ,.,1084, ,... 11 ~lawJ. ~'1. .-1 •• cd

WGJ~' .... _U~ with" l't41u fro. U. of ,.,10114 .,

"'e!

'~ ,.. I. the x- ... !~. uetiMi ia· ~t with 1t~'IHP

a t~ II l1ue OB rotate_ wltb tltalB1~ vi_ .. ~. '¥Voi&ii~A,11!113

oM., 1. tile n- atwhlcb \he ~ of __ aQ (pomt A) of

.. ~1e _yea traa 'ke .1aial ;post'ion ct

~ eMr., ... 18'*' *- .-tie '0' ":tP'$ at point

JllIl\Q'l-' .~ .. fi'!r':l:,H:u!1,..

y

~----------------------~----------~----------r---~~X

Figure 2.- Motion during phase I.

'l\& .. '~l! + \u,2) 1-1

~ ... Of "~ 'eat ... , ~ total ~ of ~"'l'Ifp. ... ) le

-.81 to _ SNa''- _ ""on,

~i8bl.. fl. BOW 1ft'Il~ted vMcb the aasle ~ trca

~ 11M OC.(8ee 'PoID' C tile po~ of _qlial

e.~~rG of the,,- Plrtlele.oa (tS~O'mIte~ of the ,.,1oa4* !he ...

~ the ,," tarttcle '* the i tll ·e8b.le'Ohea

·.... I 4, ,. \l1e 'iMHMf1ta1 ~ot cable u., baa -.wOUld. ·tlle

loaa\1Oaot .... Jtil JU"'t1cle on .. lth cable ftla'lYe t. tile rJa.cl

e~_ .,.·tea 1&

ae .locl" t. tbea • •• • • -- _(' .. _)co&(" .. ;) .. as.(' .. _) -Ie ... jJ)el8( •• _,

Io'WeYV,t autiacnu.e at .'UM.t ... _'18.. _. thefttON, t., ..

'Ie· til '1iF ~ .... j)a,&... 1-1·1

1&

F.,...,. ". ~ ~'loa .a.t le,,,u.f , ." ,1 .. :&.18 tat

(36)

... titaiM ... ~1ou (83),(.), ea4 ('7) .iII$O "-,,toa (18) ..

A let'. ) Hs.".

Gi

~. [.~_+IIII!iII!iiiii~

.., ~I .... '1" ••• .a to .. '-1111. \8· ... '1 ...

,_'lOBI. the 81atea, .tace ... JORa'Sal _1'&1 1 ... , ui .. tWa ..

COMfIrM'1:ift, ~et • ...-tlOa tor • ,... .. ..

hlftndq __ ~ ...-'1 __ .,...\10&( ) &at Ulti.1*I _

.... '011 (,,) 71e24-

,.., .... (40) u4 (41)" 101,,84 .dia\l~lJ te"Sa tDe tluel •• t

C01141''''. tD __ ee %.

ftaMU

III .... II .. ca'tJ1eI .,. oOll'~l¥ ~ Wltb PIj. L .~.

Aa .... _, tipN " .... le. U4 vei&bt ... rota. ~, the I1M4

~:bI' A .. 'the q11.Jlclel'. IoIat.A 1. cboee".. the -iSla or ~ ,. ~lIW;\e ,.a'Hm whiq tero..ttna &bcad~

of the X, tcoodiate •• tea ¥h1. 18 t1sd.~

OF'1;~:l:.II. ':Mi." 0)

W;Wal1HJ ...... 1MB

~_ ~ lOla' A .. '11 .., .. col~ ,,1 .... ~ trOll

.. ~ .. \he Ja7loai- A' 01a ~, the .. lea ·aal ~ ...

• 1~ ft~. file to'tA1 '-JlI1 t. thb ..

IIu. .. L .saC,' ,. _. tit) .. It ~t .. $f)

., .. -I. .. (1+ tJ .. -) + I aJA(1 + If)

,...''''' __ tloa (") "' • ...-'18 (Wt.)

~~'<' + ci.f +. 62 ... arU(i ... ci.). II]

-+----------------+---------~~----~~-+-------------r-------x

Figure ;.- Motion during phase II.

Tel .. "- -Mr,,' of tUeable." refer \0 t~ ,. '!he ~'loa of

-'.1- s-tlcle em tile ,til cable 1.

IJ .. I .e .. _) + , ."" ... ;+ a)

YJ • acda(t .. Sll' .. I _, .. ; + .)

L~~ •.. -0 () 4"~ U ..

hrt~ t. ~ ..-m\ieat - ... 'lOa (J&8) .. !Ii"''' "7 ..,.,S. C.,) rield.

[I +M. lU.) ... J,2~ .. ') ... a~... 'IIL.A 4' ... [1.I(M"~) + ~ + ~IIL alQ 1; ... RIA .... [ ~... . 9(ai +,~ .. 0 (!)O)

Ie lJ,ke ... ~# ~' • ...-'t1Oll I., 0. " ..... W

~ )-!-o

... t1OM (~) .. ('ttl ... __ lYet.~~ .. ~l. tlle

, .... 1" .. , c08l1tlou ... U.

tAe ... of cable ft~ t. ·aar Qm .. ~iOa .. 'SO 18 ...

.. be ~ of the Ulitia1 apfA .'kt .... 1',.,.. .U....., or ~ -.~ .JIa 1. DO Nttel' ... tile ".uettoaot .. 1Dl'.ial QD

~ a ~ of l .... ___ -leew4 ~t ·1. ao\ eptIll iIo··.... II

V. de.,", fte1tual Ipa ,. ___ , ... the ~lG ~lr u.hpmt •

... , or ·ae tal"al apia. tM ~\b ... , •• td.tb the· ~ f_

a _taDt '911_ _ rJ/IJ ... It. the .ftect oa A ... to .. ia~~

sa the· ,..tl. Of 06\)11.1 .elPt w,,:ttae.t we!C1l' 18 • ...,leaat. All

• ..,1ft of *'- -ilDU' ... , .... ia ~ -. lIlu »1R . ...,. tM

'tar~ioD ., eelt1$ 1e", w'tb r;sJM to eob1 ...... ~ 'tIl._. otA

to." .,.1OIa4~tiOD of '* 200ll U fa Wll_ of " .. 0.10

4e.~, • G'ble .~ of ~-l¥ 11.8, t., ~ U \he cable

"tab_ 1e GOIaI1U-ni ~tlle 8IIt1 I 11 ..... to be 1,.t.·· I"'_~I

st the· alWa .-teat 1& oae-baU .. -." of tke .'\~"8U aaI

...... tale ~b ,. Wlt4# .... val_ of A ., ~"'-lI" ".v~~#

1. Mldov_ a. __ ·fIoa .Ule J1et 1a t1jwe .4 of i\ .,.SM\

x.enlaa\'oa of tIhe ~ 1l&""14ua1 "pia · .... 10 ~. fA the·

Wdeal _taDta of ~, of lMnia .... ,' il:GU ...... oabl/Ji ...

• ~ error IrQa ..... _ '1M ~ tl ..... ~ ..... , t. the

1e..-. ·tke· e~ 1a n41U1\1a1 epa ("lada t, JU'~' tGJr au tB .. _

... ' .. Hi) 1 .... ,lo'toi. __ , •• , the enor a taertSA ·.t~. "

.. JOIl"- value" of AlIt. eonupod to ~iaG tlId • .,. -.aWt'e4

1~ ... tbe .'-l~1a .. ·tlHt __ '1" value$ 01 61/1 owa ...

14

.10r- 13

,081- 12

...< -0 '+-.. - ..c: ~ .06 +- II

01 c:

c: ~ .~ - OJ o· t

:::::l ..0

~ .04 0 10 lC u '-I t c: -

0-en

.O2~ 9

o .2 .4 .6 .8 1.0 1.2 1.4 1.6 1·8

Cable weight to attached weight ratio, K L - M

Figure 4.- Cable lengths and spin-reduction ratios against the cable weight to attached weight

ratios for I MR2 = 200.

.< <l

.. I: '0. fA

C :J

"C 'en Q) "-

I:

'-0 "-"-w

4

3

2

0

-I

-2

-5

_6 -10 -8 -6 -2

.. ,1 ..

o ~J percent

I

2 4 6 8 10

Figure 5.- Error in residual spin plotted against error in moment of inertia.

.. ~iaa tI1a, were _.~ ~ ~ .. &0,.1 ~ta. ... .. ~1a i. _ too ~, '~c~",* -'t1e '.~ 1, too ~

tor .. 1'-' cue. ·If tbe •• iJ'e4 l1 •• ' or ~ & .. ,.18 ~ G88

~a ""~ .p1a ~1_ la . __ to __ lM'1a1 $Ja. ... •• Of the .cu;tYe III .t~ , ~-lr 1t.800 SO .. ~ .• ~ or

IM\ .. Aa" ~. r~ , &ov. 1*e ~ ta ftll"-1 apaplOtte4 -.'.' I~

t • ...... otto.a:; ,... •• ll.a of oaIJ1e ..a ,.. "..lOwI aU_

C .. 1e wlP' to .,,~ -lP' (1L/tI) ... Jta-~'ioa .. \, •. (1\'11'

at .~ lD fta14ual .pla 1 •. ~_ 4eentMe,.A t. a~.

ltIIat.'loa of .. vaut.n COIIlSt1e. "~tbat .. lac .... b

Qia ..... _"leUe 01 -.. ~le ..... e$.pta ., .. GDIle .,;,

'1pn T .OV8 \he ~ 1a ther •• l4u6l -»lU 4ue \0 1\ ft~ of ' ..

.. 'ilIul 0.01,. .. , .... eoasi4eft4. ..~. 1a ..... r:m

v1 •• ~Ie 1ft ':2 , ... to a ~ 81018 of 6 .. tute u

a ~ ,. 1k1. 4fIe~ :Sa ~ 1. tJ,80 ~ vi'UlUlbter

'fM: e«e.ct. of an tba previous ~ ., ... te4 .. be"'lItld.eI

b7 ~ etAli1lltl. Aa ...,le 01 tIlla ... lIB vOlll4 be to ~ ..

1tIlae tId.,~ .,ia _teto .. 1a~late ~c,toD of Vle ... lNi

~o'1Oa val\ae. Z. aeomt4 ..... of 4e .. piawOlll4 tileD ••• tbt tual

." •• ~ fit VJ.e ftrat atqe .. It. lal\Sa1 -»105\8. Iiwtn, .. , 'I.

...< <l c:: '0. (/)

0 ::J

"0 '(i; (I) ... c::

... 0 ... ... w

. 28

.27

.26

.25

.24

.23

.22

.21

.20 50 100 150

.. " ..

200 I

MR2

250

( a) ,,= o. 00.

300 350 400

Figure 6.- Error in residual spin due to ~ = ±0.25 percent plotted

against ~ for various values of ~ and A.

..< <I

... c:: a. (/)

-0 ::::I

"'0 'en (l) '-

c::

'-0 '-'-w

.27

.26

.25

.24

.23

.22

.21

__ m .20

50 100 150 200

I

MR2

250

(b) ,,= o. 05.

Figure 6.- Continued.

300 350 400

....< <l

... c:: '0.. (/)

0 ::::J "0 Ow Q) '-

c::

'-0 '-'-w

. 27

.26

.25

.24

.23

.22

.21

.20 50 100 150

.. " .

200 I

MR2

250

( c) ,,= o. 10.

Figure 6. - Continued.

300 350 400

. 28~-t++H+

.27

.26

..<

<l .. .25

c: '0. If)

"0 ::J

"'0 .24 If)

(I) ... c: ... 0 ... ...

.23 w

.22

.21

. 20 WW±±:t.W±wmI§It 50 '100 150 200 250 300 350 400

Cd) ,,= 0.20.

Figure 6.- Concluded.

-< <l

... c "5. (/)

"0 :::J

"'0 "iii <I> L..

c

10-0 ... ... lJ.J

... ;1-

.9

.8

.7

.6

.5

:4

.3

.2

.1

0 50 100 150 200 250 300 350 400 _1_ MR2

Figure 7.- Error in residual spin rate against -I- for an error in MR2

cable release of ~ = ±200 from a = 90°.

.. ~ 18 "~1ctJ. ~I - 18 U. "leaM _le. tile ~

.• ~ ~ ... "",Il~ .fA 1e 8U_taatta11¥ ~.... ~

... ~1"" Whell tM flr.' .. tap 81m ratll"C'to:at1ofle \0 .eM.~

... ~ ,. Uti. nlhett. "P~ .. ta .... 1 ......

tw ·the ..... ..... !at. Of .,a WCNl4 "~,u Ita uaaNbable

10"*-".· ....... acel.-';'1-. ... ri.~ h, " ,.,-1814 ....

f~ a ,. ".1-. ~., of uA~. "' iI u.t .. of .,~ .,.e ... 1-. 1fd,ttaJ.e,m _ •• ntluCt!~.

_t __ eel .. 'I-.. .. ,.,lot4. eftIM' at ~ Oil 1me ~1 .... ~lea'1 .. SA 1a4t_tG4 m t.M t~.

~ ~U_ Of sa .. 4&c.ele_t.10A with A eq~ bJ tM ~,

\batt the ~ or ... 'ftM4 to add ... a. 7\ t. COM ___ '

1alt~ coaU~l_J tile ~ Of the ~le it eftectlvelr 1~ SA

kWp &/14 c_ ... t. thi8 iac .... 'ia c~le ... ~. the.

total ",.n1ft ._. MtiDS w4 .. a.,.,. 1*J1GI4J tIIu" &

lar .... ftm4'Uiii 4ec.~.1_. ,.·tIle ease of $III; 0" Ud. • .tIe.t :U

aot M_. the effect of _$ata1~ \he 4-.1tl·0I .... _ble ~,

.~1RI ~eall~ leQltb 18 "r 'to Miltfte "". C "e __ ta

~ 21d* t1pre~8 the ,~ h1~ of ... Iecelea\loa ~

__ - I .ta4 n- &PVletA tf1tll -100.. , ... 101 11*. Por

4UfeJrea" ~. of ~. tbe terkll4 oaperJ4 ...... __ ~ te.1entloA

.. 11 "1M of ..... 1~1a1 fI'tII ]tl&Ge l:pbUt IX oe~ ...... ft_ • -... ~l .. tlOD. A'" \111. t.1ae, 1t 1. jOttat,'01e f. tba~.

N (.) CLI en

.......... en c: o :.a o t...

c: o :;:: o t... CLI Q) (.) CLI "0

E ::::J E 'x o ~

1300flmlllllllll 1200

300

100

o

(a) ~ = 0.0.

Figure B.-Maximum payload deceleration plotted against

various values of ~ and eo.

I

~ for

N 1000 (.) CI,) f/)

....... f/)

c: 0

:;:; ~ c: .. 0

:.;:: e 800 CI,)

'ii (.) CI,)

"tJ

E 700 :::::I E 'x 0 :2 600

(b)

Figure 8. - Continued.

1400

1300

1200

N u cu III ..... III c: 0 :0 ~ c:~ 900 0

:;::: ~ cu 4i (,J 800 cu -0

E ::::I E 700 ')( 0 :e

;·,600

500

400

300

200

100

o 100 200 I

MR2

(c) ~ = 1. o.

300

Figure 8.- Continued.

400

o

(d)

200 I

MR2

Figure 8.- Concluded.

N u Q) If)

" If) c: o :0 ~ c:~

o :;:: ~ Q)

(i) U Q)

o

Time,sec

Figure 9.- Payload deceleration against time at various spin reduction ratios for

KL = 0, and M

. 90 = 700 rpm.

• ~

I MR2 = 100,

.' ! .,

I t < a. :l

8 ~ i

ii I' i..... • ... til

C i + f··.··' t"':tf ., I wt .. .. I qr"

f& . ~ *If

1I

Ii

i '1' "~f I I: '1.' <C.l.. I.... .• '. ..... i .... p. '.. . E ·1 It ·ft I .. "" .. r .. sr· .i tll.· •• I .. ,.· r:, f ar or· 3 • •...• f I I I.·... f ~ I ... ··.. t.. 4 ~ ~ _ • ~ • ~ B a e' f .0 ~I 1\1 • .' . .~

ft f d" ~R i • " ~ I I ,.

,., & , .. • I I r It I r I I $., .I.~.· f i .f. f I . I I te-

l i ~ I I i ! .1 I I .l~... i.~. I

14 ~ I I II ( i ' r 4 .... I

I.·•···.· .:1........ If . , .' ~

.. ' ~ ,m

I 1 It

: , ..... :. ,..... i I R.·· .ff . I." Ii:l :t f . Ii' 11 11.i~!fJ· II I I : £ 4 i i

f!1t I R I if f I f I GIl. t ft·

~'~I s-'a r Jf tI t It t '"' . c! ..tt. ........ t· .. ·· 1.'*' I .. , .. ' I'. .1 .. _.' t ii:S~. i· ..... ; ~ q It .. .. . a I

~.. i ,........! '. .,..... I ·i .. •. r I Ell. .·..1 .: ...... i •...... ' .• '*.' .' .' >' • ~ I l¥ . i I:

1:1 I{ I ." -i I.'. I ~ ~ f I H if I ,. ... •

!be teDail.e rifte' experl-.ce4 bJ the cIible 4-._ the .-•• ia ,. a

4eaii,a COASfAera'108 tIJa't .. t ~V4 fW --lDa a ~. wblOb

dU 4e~ tit Y8l.ue Of roe· _xi_ face ~1'" DJ the

oa'b1e CD ocou ia eltheJ:t .... I _ II ... t. ehow8_ " tua.nloA Of

sa t~ 10. Wbe .. '- tore :Is plo''-i ia tbe ~1OaJae.

wllAmt"u tile Wtta1 -lap", ,'- ,... ialtlal n1 ...

\0 3fttllOa of __ lea ... -&pte. thla twoe 18 tar OM Of • _blee

tJt ."al4eUl_QllDeVi.u, ........... tbe ~.

)(

o E

u.

.. 46 ..

26 ....

24

2i __ ~ 20111 ••

18m1l1m •• II ••• m ••

16---

10

100 150 200 I

MR2

(a) A = 0.00.

250 350 400

Figure 10.- Variation of Fmax nR~ with ~ for various values of

~ and A.

)(

o E

lL.

H+H+H+H+H+~H+~~~~+n+n+n+n+Kh=Qo-+H+H+H+~+H+H+H M

24H+H+H+H+~H+~+n+n~+H+n+n+H+H+ ~L=0.5-+H+H+~~~~+H

20

18

14 H-I-H-Hrl-H-t-H-++++++

12 I-++-H-+-H-+-H-+-

8~~~~~~~~~~~~~~~~~~~~~~~~

a 50 100 150 200 250 300 350 400 _1_ MR2

(b) A = 0.05.

Figure 10.- Continued.

-48.

14 H-+-++++++

10

8

-----50 100 150 200

_1_ MR2

250

(c) A = 0.10.

Figure 10.- Continued.

300 350 400

x o E

I.L.

19. 18

50 100 150 200 250 300 350 400

(d) A = 0.20.

Figure 10.- Concluded.

.. ..-_1_ otllOttoa ~1'\fe4 r. 1Jhe .. -.,.tas ~ .. 1'41' ~

" .'tUelDl wllltts." 'Uie ... ·ot ~ t1eslble ~1e ......

teUcwiDa:

1. ·"'lo~ot_ble of 11-- ~ltr ...... of _tae .... -!ah'tdJ

.. be··, .... froa the1ld.tlal ... tlal .... 3.~ ...... ad ........ .

".- to. ~ ., .eUed .»la.J"~l. __ tio ~ • ,,»l_iq ~ 01

Jmowa ~1a ... aotba hie,toII.

IlJI' DIe 1e~ fit .eable ...... - ...... JIa • at.,. ~ , ... ~"'OD of \he .,1a4etluttloa _,10 u4 i. ~ ... of t.alt.1a1 .pl. n:te. fteaceurael of de,Ued Ralch1a1 ap_ ,- ~'3¥ ~_t_

.. la1Uel. .plll.

.. error 111 \lle .~ctl __ to,o .. w .. ~ 1B.

~ • cable _ ~_U."1a ., 'be ~e", vith .. larae'\

~ ~ b, the .1Up ~ e .. 1a Saenia~

Ia ~ to obt&1a _~_ N8\l1'., .. -tabt. or trbe ....,18

,. U. eft"W 1& t1le fta14wll .. ia due to • H1t&M Of tae ,*"lea

ud -ilhu ., .. ~ia r.~ aaa1e 01 taoO froa 'the ".keel U&1e

of 's 10_ tMa 0 .. 01 ftW ........ c"ard ... "ei. Dd.a error eaD be

... aealtsl'le "7 a ProJ-Ir-.~ ft~~j_.. at. ~

alto ~oe4 1:0" "818& l.1I&hwr ~ ..... ~ a'atiO of ..,1Gd ~Ja to· Ud.'1a1 u.n. ... whHh OCfte.~ \0 lllb~ ,,".eM4 vellb'··

tlreaterueuraor .Ia ft8l4ual $pia .. '- ObtalM4 'r ~ -tai1lll ., \1le 'total. a.e-_»tA ~t:'t ••

1. Bte ~ ,..l.Gatl _Ml .. ~l_ u4 ...... C6'ble teal.

,.. o~e_ ia .1~ f'tnt' ft; ~ Jf,iUe... Be _1_ te.1e.,\tca

__ Wd.OD .. be 4ecnatl. l'W#

ta) Lover IJdttal .,lA n\e

(tl) ~ val_", ~

(oJ a_sma the 4e-•• .,..,ton_ tbat ... __ 4ece1en$l.

tOI! U. t11'-" .... Nev, be'ee ....... __ le_tl_

~ tile CODf~llQllp

8. Aa .~ •• 10. tor the Wta1 tllJe ftt.~ to __ .,1. to ..,

~e.'''l tiP. rate l~ pre~ a •• ~ti_ Of .. able~.. !bi.

ts. '.w1tlW1 0 •. , I*'.a' fit .. actual "u. ~,

A_~ls.mI4e

Nidtdstratle ·fl#· aUov1Ql

GUl.o_,le, • ..,..., Ji'. # _., »cDtJ4 6., u4~&lD,. AlJAD B_ t

Iotu··_ At.tttta4e ~. C Ia'rth satellite 'eklcles.

-. II »~, Wn1J

~, MerlD., au4 Fersm, I~ I. # • .,.~. 6~

1~UJt&...... ~ _~hI, vol. •• AlWU

II. ;9.

rdW~ 3. , •. : ~ tIIJl Dil~ Ck1rvea'. Is t.-to Dew_. leelui_ tor laWUl_a,. lAM II »-108, 1901.

~; .J)os14 C~ "'i W&e.bom tl\V 18 ..., Iodl

~te4fr'0Ja S~e .. t. lteh m t~ ClV

D ~ Ie. W68 ~ urto t'he.knf:/ ia ~l~.·"'_

4~"'''' ~·utlve ~ as • Lt., 1h J~ Ie Rae'''' .v. of ~lw ot Sol ... !a ~tt_l ~ t.roa ...

~ ·ia .~. 1;9'1. An. a $tar with ..

~la ~ot Jal1dmr., ~l8a4 he "S~ to ~ a ,..1"_ v1th lat10Ml MnfJOI'f CGaIt~ tar A.l'~t ••. _ ....... ae4

vttll ~ ~ their t~itl_ ·to tbe ~ ~,to ...

~ A48IDUtratioa. at ~ A!J" ron. .. lase, ..... , fa.

..... 'DlII_ lW

~dO. BSte

DIe ... t:1t:lDa oIllO'liOa .. ~lftd •• Vt.e .-.illailil Gf • #tcl4-

1.Mid7 lWlea b,. tM .. or -i&b"e .\ta.cbe4 .. ~ .... of ... £Dii ..

ealea ot tW't. __ tbat .... nleuet vIw.D eoll.,.*, vith .. lWUu of

tile .,lea. 1B.PH8a101Ul tor .. 1eD8th of ..-let Of " "va ......

\mit ~ ..... of _,tee" -tab-.~ to .... 18 a ~ W

aero :ro-.'"oaBl ~ aft 4erlv..:k !'be _ .. ___ .. ~ ....

'Sou of Ud.ua1 u4 t&ua1 e0a41t~ .. pre .... will. IMtlii be 801 ...

• !84~ tor eltUr the ~ of aUla ..... ~ _ «e •••

• I8l'lea to a .,iaAte o~ ....... fhe eft •• of table .. _ Ie

81saUl,,*,, _ tile a..lAd Q1a.~1Oa ."10. !be eft ... OIl th(t

1"8.' •• 1 .,ia due to .. ~. u 'bo41 ~ 0'6 ~t&, .eabl.e ~

8D4 Rl.eue of ca1e& aM "ish'. at .. 6llIle ~ ... the "alJ:te4 goO

aN.... fte ~ ~. 1 .. ~ia ~ ....... n elTOl'8 kt

~14va1 .fA. !be _t.aa s-.vlOlA ... 1 •• \1_ ........ ~ 1aWloD.8ft IN­

~ tor 'far1OU8 D084_.~ ~n. act $If .. of tile ap ..

~loa ~~lG 08 U. teak "'lIIa"1. ia 41...... "'0",'_ iD tile

-'1 •• ..:rleaU.la.,toa aal .,;t4e teu10a ., be Obta1u4 tJl ~

$ __ Of tho .-.,sa, ~ .. 1u1'tal -»Sa raw, ... -taa ~

~u. An ...-.atoD f. -. total ~_ ~ to _-Qia '.1 ~te4 .u4 ttO\Ul4 to be v:1Uda 0., ~ of ... ac\ual u.. ~.