ASTIA DOCUMLNT r4 ~ - ~

-f~j LA N - .s -

miSEuaf LA BO"TO

i0\, :~AL ErURACI 7 BM?~a

PKJPWT 306

w LIGHT AMl uVmELOPMNT azMMAIR MESK-A-M-4 AMt) ~~)f~~C~

Lmrrgn wkmau oftegn

.VUATP7MM AMPURSM&0

Stf an* 1*U UEWW WBA A. V.%: gSsI*. C.G, ZW

A4 te 30a _wp sqdiZ=.*zu m Lt. immylawl- lew

* -a e m~ ift'"r.*ms a~ S rit

* 4Amu*. ria Ywi*x k 4 i,- ajre&* afiwasetv

am Imte"

*" -. a ilai

-29

-a I~m . ......

v. lift WOW a no% rv

A~ AkSW

7. "A ~ i To w ................. 1

A -5 , ~ p ; t4 .n e - . .~ .9 . . . . . . . . .

I . ?virt S.r L-4 R fl.-irn flcw . - . A

2. Dt&U CI t2 a .dt P0J ...e ...

"s 9"- Pimf t YMO ew aI ....

tzroas bl*filPW* 2rwApalm 1

aad fl. mks

-. .. . .9 . . 0 .

r'Z: -- 1 -'

C: I ; . . I . . . . . . .

- - P-3- 3.T W4 -, - --. , m

V~~ *trtaimtc

* tA SI .. t.&.SW&t. &"fl ra_1S Of PSA 4 r.ft5W

-7 7tagS -h *

t part rfl itit= ;usow"*

n;to ' t t~A M I*nVb 1 3

Axaxi~3 uxgi t4cs e4c:1

*A alr 3t2w

q)$,u tdbi ,W !I -V"A %fl flW f

VionLQt VWt% gmetA4 yIa ~ bf #9FasA- tkf4

a.~ dz~tS~fW~~C blfl .PG144qtak t4 t*' 3r

A' ~ ~ ~ ~ ~ ~ m watw umrdCttti:-.~tt ~ ilSm4A~ s.i

s~at~ ~-' ~tttliTv a *I ,4r Mr*

* -r* IC2 "O p bcot' Ii* " tl C4lty

~~~~o a ra 4r mf9 . ? ,

e~i ttf new powd-tf ~~~cb±

7%r rw ?7-

it YCS fl& as "- cc 0"6m274

i.a aSt "aq fo 104L. -;

m~.arintdlt is m&U nba* rwm* AM*

41)

Ptfol" *1* -~t4Amk Se *0-

-im for a* - L~ - d a taa a &-li 4U..A * n an sft

rt 0 C.m- 040 a~e V -0 - -

* Ot 4"44ei &apa

us RL'W a tmze ofbS uspn(L -atom tn aI R4wll wl bam..r 6it a WLa X6, wb Sa~aa hQ6U

ti.a fQxv flo st a Sm a- tr4±.

~~ ~.~~tw1 0;-nS 2 a. ta o. ti xtatict.It

.U. At a+We *,* miomeity de %" 00%M (2%) rade

4rlettlFl y0 n% fl%4 ONtaJ m A Mmitef i2 OPe.-. ann

dw+, L& 7l4c .1.

:Zn. T? * lC'L c3Mao$7t o? 00. nlnit waCv Ot fLa &nt

n.6 &a-nt :2.A is tr aJQ~t t~a C: s un n--ia ~(s) 1zis. Wcnt, * *ufalitt7 sitne " wmr-, Boo,(4&. w. Co'c r piQ. Prvettng tk' toe =m- c'f .w'tlAt C

7Arte.I

md w1"#t4 La t. 1. yIULD

k- 0

-~ m-'M-A

rv~racva&-- t - CA -

at ~ ~ Sa Wt . nd(T

bDe.o me4 is ba L -Ltta-~ a t

w--~ i.or,* a fl-

a. n*a of k *0

Ta ,o t A t'5 flakIIi ftaw~l of lbe ftit kad4 oftr-n *eran.

Ithaome nedn nkal ez~tfaIn A I Uwe ab fstiv aaVidfy eassla XW a wAi sAunwa -m !a is uj,

fthtrcduAS ea"llc IT Iate IL to me- ha

The erlbaoalt7 ropcr of Renel functions la r'eh thet Mr.f)

40

U-!q -- r a-w

metn atept a me emi&aftan9 as

21

t soa nflmmet rpemeft, h Vo b= 0 lI4 i byQ ar4mwnflhl h3, aaN' uel9 so a nan

bas ob~e UJt) aa Use amajee

~a* * -ja 11 f' (( ms"

asiz.1~ to Ate Ak am- ampaw *0 oe 09 L a 42, a*ngSba"6 bgm&Wa OO&IlUMB Im bs 42"Ot1l1 wilb a awha.Vmp of sohat1o. Dta1l. or *"a gemntS we u hZ

* W 2( - t in 0 0 6 )

- 09 the strewn fiatm is 4leooatiRmma, so that afoa&Ia.S 0 fvca the left (Soo rig. 2). F 0 .L While esv10em1116 S afrom the right, 7 a "Im.

ft 1gU 8 "W10800t0 the &Urom fuaoflcs aw be SOM by &LZ*otsuboliftutio into the followi.- zeagtic..hips rr m mmxa.inuguoreasiblo, W@nIa1 f3gw.

i to%T r~S -u r

fte solutim for a minak follows dixemny, as it Iafriaam.. fthderived v~loeaty poteni al and atr*.= Tunctli~o only' thtIN1h The

TkO axial r"Imll waLGOalt ewv~ts am be detsWi4nby tho ap!~~t pawto a &IfoeftIftie of 3g. 7, so *he*,

SI. evinttms (*) t a 10 0

!L*O ? 57-287

vNum to Inrfwg

#*I AL -uu

ibaba~te So S b w C ;Of(jr Jwe ui(p) wors Yap rhave j'm slbte6 a A=&A 4, ZW,* r t roots atJl-n so MA to mm s bo Mau_ 0- "frm"p. A 000-t I* $ m41M WMsA V bS tf0 W 46%4 MMUUZIO 4 * 1M

WSUO&At* s~ h tt..zltm~w afa~

Fri vasim of VT ), 15. O b he r.1atIm~ip Is In agmait withhe awt Vale to Vils OW. peat. (rae ?)e JW IWsgRMlw

To no bobs mm*n~nt eeonmwat Values a rWWO eaetlaooa a FAMStM XMi 103 enSWtat the A=*-

utleal Ibeomp* Zohotal of. tb rJs Air DFOLmmft ..vosults mm e~ gomm a o 1.u toit, i.awo mat vaZ".

am Ullow ie Obos "Usle s fmaltt WO insImums c flowsmbeftes of m~t-Ote absoo

Rm aqqsyoto r*1tauhp toa a"M toe Oilele mo UmIA mom" onvmuc* to five decounl p'lee. flat;*@ valuato@3 *2 r * I al.* e mia a &2. 2%o romlata values ewe 4tabulatafwr tbe t±urst too -vot& of J3. cay Fo v a &3,b theV&& flme ~anets%Mf SUM 141' to Gbtla --- a~m s rft 410wma 1404 lseVole at. B a1 malI No ~ Sm tew.a hamom OW

Y-6-& Saw Satlb lw

MWaI~ a~ Ma) (Ima** 10,u to1.)r t thoOiu e h~em~e cuu

Ike (a) axs iNS the paes of the A-mrve to the Xcit whero i&velaey owr .izm f'iacztto as agvehted. Me this 'seav.hesboaI.t valwx- ass&* 1* Wm e d"We thrommimt the tables

&I" At~ thm ~-otZ? ..

5a A a. r' - 0o as abom in la* %9 m~asmas for tho

~~ m hJAs e as)A e4 r)W '

cs-P t&w.uin hroast

2f SP k,(fa

The stresSt oW doublet Is defle as.

N up P'sa&-&,

Tbw, t & tint-*im Mawl ias m" the -U 46"e slf -W IO Umlal ityr pflli Ow a atlet toas t ft- ae W1 5

4d

A t4 l 4- wetw of sae EStsu4 an g4* she am) nL=*tbtlti.is comater .iea1Io.-ia w- -Ig (2 ) --az.

~ streouitn A....bA a no aam fr eaThU fo L1- %= -- a.A a.91-*A A . + - - __gr -_

as the- oanm fnor S". .art* etam4m* o, i~vro.1m-hap a slowy tha m oet. 6, nqauirMn * reseer immia imm

WA !7z

is musssm m~e it-mt e At*. a A*s~a asc~alw~ty to be 11 a. ftbt at a a a,14 UIi 1Mw £ltt#sel to

tabesa (a clam * " m an lizuwi wj!o 4aaawiis.fm .eimm. sh MWAVO of 2n. Z4 on 11 - go Sf me 156 lZOwoamia oA am2 zp 1 ua , mautmau at' 0.

Um vmelva PAMIsd at a efts uS- I - . suilb. -, 3La of etbeek " nee t 00' @I& sae "0' trmbemtum PAtfu for 00. mdu'eat -g 'si lm Is a malas. exe" for emaitlef IT* vb$As an he smu1L60 as faImmes

IY(a) me saweeo rim is que * Om fo (radsou OmarUw inis r a ia a Giaiacrisw.

(0) 0 for r 0a

Y.tosel etras a 'A rl %%lob la4 Un tto be MIcftdistrIblat.arun W* OlreWwie. to (M1,1 s' *mtt 00' Intlsm.rme flat mitt by %b in fg i's (4 a). t~mmeew., 3g" 6-8rL114 fm a ring e~ree as vele.a a yclal a!:~p to a ls

a"at

IL- this aw be vittvas

The inteema am ,s,.~ats as flo al ttil btVI be rU4 muneftvi'ai is. (2 w a) ix Oawboa igr et, so*4.m

JhC)

At mk* a WWW*yo the 2.eft am be a"bwUkn

the uumte wCa -0 0) me wVhe (90 (jia) -W1) an % the siw.e-r so %be" tow 9W 4 94 1 so-m * =I&,

Us. velcty potetial rat a rJt M dcuab1.t m4 iii o~woopoiaMt fwwtjUm em be obteleed kW "IP the inm. the19he s used

to otata the jetaS 4mblto So~ rwaltt ow~"ietcas mo

-31 - a' zojr * ~)(7

The voloelty pvtmti&2 @f z Ojak acurce am be torived auffia*tt. ft- omrnd1tlorn as t V", Cain of the pvft bor*azopt con4tica 179 %M1& lwt be a&1e6 we.

VAWm.W lio dteM of railta. r a a to a mim,=_ayl~ty# ThuAs

0 t ar r .v.a

*I.6 4WUu lv . slo as

A. ~ F- ! o; -- -

.Am.- -

~. ~w~L for 6* waoio-ryo VNMU MAWR,.

-*~ Ao

smvmt*="RUM# M fm 0

At a - 0. 1- a. !b*eooing a wheame the pirn Of the dunk mw"eis apaseabs rm tae ri~t or let*. So ~ass ow em baby Ukif Me Ltmit w (a 0.0,~Um~1 i~19the bu sow apam Vthiw to shi tw a flsieSmmo

0pwus in. 10 mB 86 ISO bo~m *AM* a*~ ind.1~ 1VUI. be taoer, so thatt se WOOf 81~k tar nm-

Vaim obf ma " PR*Noes wes o.a

na vaio~a sy pptent4e. fto a &Lak dwUbit am bo fmid ttiliII!- the# ti-ta~a 1iMi4 ft * poJint 4dowblet. 1% Veoct

p~t:%tti- .s tum t lw

- .2k21

7. l J.

Ske YOu417l potentil for a na4 motom is roodivj Ob-a-4

uni~fcw 41e~1ba~Sx of 4bac'toue ~h matam 100**0WI(vet. 2). Us mme of the dabl~ts we td*m DOVS1 to the intaever vberg, im4Ib dhensity it OWe 4A~ftbUU 1 is W O 14 bequal to ibe strenagth or wwvwo th~ %bvm ]k# 21. Ow. hm,

where (K) ~eLis testrength of Use vorr.z.

Ith orreMAE strem ftsctlcn to.

oft= .±.ed to dwlo_ beStu or wort *..o OSAM~isa the Go"..f a iemart of Omostat otianeth per unait iiabth c'<, mlotus's (&I) to the a*=-** 0O w10totheme,

00 %44 the Velocity potial !At

there (I~ on awcz ' l- bodwfs n Ac v OTO--- v m-k~v~A. Tecr'RO

mes romata em be ebeo by taklaj %be U1$%s na 0 trmaihe saqnntoce rehos to %hose tfo poanV mwre. The oavordaco

cC the N*. flaw ebms s sot* appem to ba aur bestt thes for the*a"efl a jois scAn, c so te l~ieal .cimty of tUeras aP womn thwe r oemaa litla~tiaa Lionor apeatiel wiatts. of the ommetrsun am- be weak& An twhe

-m ins w the abov e, &abt the revaltat eqremeiwa boms

%ae shay of belie of wbtmy a pretest wap mU bemitaS IV first ositeris the tlsU Lope reeli~ag She

aia4a snreee. Mlan. 41s Eabtots ad "in Gaablof of vsrr-Lulba stan m gist As a hetet mitesm tie.

1.A k~s~ a muhm an

ae waeak"if JvflmS4 at a pint sanrs Ins& lucid victsfl m isfo too Imu Sm ftb velocity potential (us) for a "Itormfloe to N.* 7o ftObtan Use aeroepsflmg *%rem actie, meWOs to adl s. uSm (Ut'/2) to Eq. 8. Ina!ttIOc, &amcent (20)mat be atweNd fn 0 tha tr famotum & S o thsfIm amsfof tlhe nerwi is betm" essjlu4as

no to=n at So strom tasses ilaA Abov sem twothe meaim by blob a body istreal e is 6*41 s fl a joistsmaXe i* 1 i~ats *a4k-tfbf- t- et: a- f .- o-000- -

itona res k b'the =nzsoflgst flow* , mat uaeUWa of &0. aaa0,0Sw. Is " mat -ns lew CIA the (a) AbetUS) withi" a*e bodyCUtresa"o. beers, tsNWAsgM at the aniseD, hSf thes originalatanni som-qe flw adA fte at" na peras earoa Iffilowhe

W-- - iftnale bef d.--..S MW C21itS, (l.4i- th 5£eAresflbTha U=4le~vni fox th. stvrw ""uss *a Is the*; ahWAY

*tr--14is 16 iM1atedll JAP it? " v iiw Vs ta;4 F

bwwa flnaseetw.- I thi ens te one is Mea.)vo athemm I

mw zo"* Zzie tevm a* fthea uM as MMe Awi iA m

Ift- soa* * -s

hs~~~~~~~ owi aece a~~L/n u e5

The M eS&a sevo am t WAR wie m s n

with Mt) e gru

Uhl& eft be omiaatM Ze 4hzint fabl n.u.

um am"! voietw smoms am be oft

At s a 0'. c.0. am eat VOLM"LIW OWWRNS MU b WeiISS TAusing Tsue, 110

T.le to a Gepartowe fr the ummo Tom!$ that tk* VONG&uipouwem at iaSinttw ise slat ftat aeo to the ealfem flowmovemean the satraS fle. in tquo *am* ft w'.oiwI igotvsea 06 saftiis leew am Ike, warStimeW w'qO vw (am). aMimiS,, the ,.a..ir

Mw RV~Iut of t body at Ike Ples Of the NWzO 4010 6e%LIoklw tomo6 1w mimfloyng the G~tL~eMr evessiam, ihe5t

so that-2-

The -r-dl& or the bofyGt tr al U4 1 m 4 60~te

WAM W T5?-2S

mbos the qie bar sambt s (a] a).~I in "de toah ef_ emi f

psiatpoint*mea won IOU UI to 4#Mxsua t Ac~t Vae

-We 90~4l 4olem fara 6ps"1w $a kvgwm te 4m be

doim w 1t - No m 95..tp PSM - (11.) *'r 0 v~iftm

f .mto I 1 . eaieun t aNfaestms be obtaIai bor

se V - ftaetasam be w*94opsw

ftues eawaem tee ewmL %m Ot OM we m in he. '6-2004bfiief Ad *M' W0.Ie1i,6 MM WO OttONVe4 OF tOW SOM~UNeel~o to *a jia at she dinblet to vat7 pwo

The V*20sl ggeoMlaI fora rug. dawbu A a malt cm flow-~~~ ~~~~~ -a --%-- v -1 - 10J S5.555U *

bY aldin %*j1 .i/2 ) to Lk. la.

Cc--* sm~zt be tekID &t Ik"v*te Xwopr 9L1 ~w caiVottlobw(M), few *0 Obveis a bedi. she, 4ombt flow amthe W' --od 06d6U~PtAUw at the doutblet must be OPPOOs to the 61reotii at (U).

~ ~ ±5 j"I~, vt..j

A bony C0ac_"jatt' fnt Wt, a .pd 0 a( IS M NO WI- rj

mix mI 37zw7

&I v*!i lty VWUMU&I TCC a dint dou'i2,t AM~ A~$ VMQam beotain" 1w aag ft va.1o1tr ,ewsafti 091) for 'a Sar

flw %0 so. 21. The - -p~~n strom ftWv oaa be obtagaedb7 adding Mtr'/;') t-- A,. 22.

spat" saaemat fte (Re a A) ass umwzrl values of (a) swe

I%* val~aity and xvo"r diai rbutj2ca* about bodies of speli~spe are often cf p!ScCl letezwa. Fowomin Mvthod- for thog4.t.Zmadattb oft tho vrev Md *Ink diwWrlhAtlm .warroso a toa nam.4uoe body ocomr Lai the itretw"(of* Fa 0f 81). A~pyl"nalmiow teetoiques to tbe eso at hnd thd cWAA VA, 40600a setban for 60tacRda.n noz and A &Iw W

note, a "*up Itody Laps. Rw W~e rawo am t'ak 4Uthutta.:is all that Is rovazod $9 e~aeI3 Wuine th. ,.Ieloty =4 PaurndttrIbtca about the bor

Pnrg the aalysda of a Veda% tMOSV ilk M1 %nlfcu tIme It Isclear that sposifyLma uua oomgiinate of the body surf gaO doezvIneV-9 wtzwngtk of the *tugeo (A). ro~jety ow eash SPOCItiolbod~y coazGloats, coo mast pia a fource or aiM to tbe ftim. 81.aeona~sponotvic bodles, are bo~ng ooalerd. IM surs" mod sasa" .& laam th" (a) owi. W )aiIaIVA3r ofte" fte locaticso thoe sourcesad m4 ds (I.... *as ft U~e (a' ooas(iat speal-tied4 or at least w.tthia fte lowt at t%& 64wU* body) me n.4*t

xpset that 1-b* bcdT d La,-*tea the cbeog. coor4Inetes, will oai%ho deza"- &Lap*. z~ah eit I&

aomvociot to0 !At

2 o.

Mal

a-- ZQX 'a-,4~

whre

Ajlv

qu~~ ~l

will bie tf~u2tlk mowenimO hero ta Is! Is te abolt vau -

fe arbitrary Ietimn at Me ar1fta of t&* coozdla% a3tUsi.

A WWLQUS Oauy. of iks -aum fl. awi~ 000 bofq SUOMI-Uwim. adjated that the ecaditia- r a 0 deftss pod:- an thbsf MFAt002 41MUD MIN OM ath OSPaint (uthieth* body) is Swe~ UhoantaamfftMLS p mo

go the bod7. vhwe w&) e the sorces wd -a- upstre of thebody pCint.

As a szm1, ocsder that thwe taf In*%* dnt acp.1-fie-d, --IU~ sa'roe and Sin-s lcatod on the wdc at the asavaluesof (a.). Than*co has threie *tpejw

U24 - 32e, SA~)- ;)- 9.z~~~ -swlt J242 h. Um~ b otSa~o

1/r _ Sha (I ~ y.g (

2.V ,, 1 11

.r'j - ; -F3 - 8 3a,:'

?ulba. c a. diund Oftemwt bve ddo ve to 9,1,9

~~c~ 't4i ~ -SM--A-w - b-0- tv 2

V-Alz U *1Z z

ta 44emaa ba -mli way- - z-=--w*-

-- aZ (29)

The axial '3@"1 at mew~ PWR Is'B-

%&we . I.S i ix o ( a ?':) 0. mr4 (-) fa 4 . 0.

af t" s taiptim ant. a

U s ra l ml Yv 1oal.I am u a t m b 61511*117. as r y t

Itussm t±ho radial veLoelly at mW polat let,

li . a I S A

wid stnka m _ £aItS amnat~as. ftIa ea he dame mver.imtt,~~~g C u. aneW uu qu w4 -Y, %w t4m4

Usr lW ~£

2.9

Qf -0O tha a&*Ik 490f-tibek" .Wthaw&. a* alst3fo rti nu ofpei Awtal WFW1 WNW wt is PUg.W(e 1

no ww- of ads f 0~ e is OSMIW $0a wev *u*

skWIsU aSIfto Olinwmt MgU 2 tehai f Uls we ab

is e alm -ft Ile Mopooh WY Showw to arn o'

:aoU.r 0 _"aa oroei 2*~ c1u~l m b aetLt pats ba*VtieI (ta) WWWM .4to~m be aeTId, ia tbei tf u1.. boeamp~e boo atbae iam~gt bo &SOM vofo UsTL BM~s bm

%a "Mate we show la vu. 10.

~-ems m Msa UrA mum tlw-

qtutiin as i1 tse "S oU. ap vatmU neoIr* " soak*laoww o 10"I w* - WON 4a %k* ISoJG aTbAX64 4mws

iw the Trupt wifsls. va 1au he .Aom =w7 whwa v aLU

Wbin ha Iwo t si at *s bo w., dio* R (20*f n uea S t

16-a-.* - -- a 2* a

The -CUu am eaww LA PLi. gib A t 0" be mm %bat W"Z

fo ft WWf ajaU It SumU t i -b@M* i1@m* Op #v 1m

in * am inew, Mi semptefta of~ tring 6ml to U 1' Ot.3

aut. -am duo, t slo ra evrswhs~ rvluig a. rfg

ain _____ f 40 hi s &C9mb a*i *1060 at We Am sea so.. baft

winthOme flteo tIy V~rA& fo otu t %e 16 em~blv otieftlvai a

4*sImty. ,1co 1. Is Ma bthl La I. plme of a pdat wA rim£zoro. UteZ% LO so "Lai #610641F 90OM on to u* gm lieua a" -61lk tvm thi an__ Is 160r that of W apeimmi

Ita frmr flow. luPya inuitys No rvIus of UO~ body I& t. Pluaof the a=o.rc33 Ire

rewpotivly ok ..s*1 -ly.- -- Via icsai snat atzmgr~a aafsf1a the boo iats s m IE 1E Us pjifmi of she *mn azt., tail4&o iL* pl - *uao" *o a t. badi3 mwfwas docired

as od halul cal1ms~m amea value st B a s t%I-,I b hxe ot +A. be tO email a amo Sue fto a" opta a

ra- -- r we& - nx&Q 40 - , -t ac p t1ws -n

-n! 4+ -- 31aa T£5 U~ Auf WeF 46w"4 and

*40tuI atm ha.l m e sinS Owum~ tw~ Satnw $wxs ad.ptreba1 shi7# aitns, A" sam"" ma"n Ow Afemmift

r^mwabt rm a Sipr e ~ II A 6016"A TA

WAIXI VWw-

*v %S daa aa mcmr

Am ~ ~ loe.ta M-Z -or, 6* 6- A 00 "A&

ht~~i f WMI uo baft rSwe 2ius IV' tb laaq of te mmz"*f&tA bUv.O ft to a &_Mlt po O ) I0 Qrb 7":

Am ohs~ be*b maawmc ip

as -wpv -i o- -"04

- i a &&SA rpl, imuzeX Is oemm 41t a it(A4 0ab ~ Sam*# It aq) 1 a.gtme %7 wIrt, . ~ tto re tw~A.11C fa~re VOMO 14 fm r - 0, cne ot~s Ito fnnlaoV

.a ~

e.,

_______ - ~ ~ ~* %tip ~ m

~- s ta t 4 is a ?Wm-w tha n% - - .. -t -. io-,

P~ sa ma r rzov sums mazes an PaisaxriY QxrIGZ ATn; 1*2S

Vav-- ' P& -I # Alf r-mr. A51j tm~l~ T ~ U

wwmjaA fmr 2 scm-ec. lb"# * sala for the Skgalvi"aC Of ILSv.LoefjV samsa eoAt a hady duae 26 A 4MALt &A A Wi"iWlb AMr

4 tina s weA

V -*M mvb otwi gam 469184-* am-~at 3-fe v~w egemes ftv&w - tvlwf "e IW~I do - ff9&ft

j &Saud& it tI.. iwingw of so. ran .&M"w..wo"Tbaf t A'swaI" l tst vas -#Ai &EMMA&.s, & a ad AMID

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to omsit a Uataiid su4~' on th pv'blain

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whew. 47) ±cv the weirie4 bessol fuvctlsi of the first kIJad of %We

kim of Ito fr g~ s. two of noe Mut"n 1 a rwYt or v,fact that oei tbar (11) or(ll) hate real rom emoorl at r

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0 a *ok5 - 0 ? 1 6 E "'' 1 ee

The belnee of we obtimmble ftv T*Ubl1 I W

ontmina Isk ampow mass £11 tM fet for the slot ago-tics caL be gaiak.1 faun&. 50ttlg the roffdt % p In ACttLZ fe

.61 -00 .A25 .31 .23S .A1 _ ~AG gKC c~ -&So VoeL 1%1

-~.- -ii A.-

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m ",2W t P.).1 I tte Mue .~ r I klhlw 'N 11 ouroepme'K.II *70 fte.!b values of (m) amWM Arnm fe a)IUM of

inwz, ma as rqinhaha volocity *swse be fam fruS iko tUb1sTa rMJdal velocities. or* oalftl o~ a sa e ownwo usa

The body @@@"Inles@ md soures lostlsm ahow. £108

a a

.15 14

04 -on*6

The rla Of thie SOA*Oe .tr-cis vcts rimed at _%6~. T"~ tramisaat the c.Iculatim Wes

3 0" 3 g 87 .114

.02 % .. A_

.70-52

TU4 woal som strooth will be *50A*

8ei-kU. TU. 1oCAtUM of %Las aoux. god CUB MOGS

Not sh$tesSm wo orodm"r temlo

us n psnUUver he ar octd tQ*sim b-or~ v as , s-s bo4.L~

Mica*$uy hr-,- m~bi:M f=thabod 04rdi~V

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=,~ -To~ vvlc.*fl Aar*a.. tum %aur a -a. f.x-s. z i.

7- M4 .h .70 .6 .267 -Coo .101 I~s.49 74 -671 .6"1 .650 .634 410

-26f; .289 .287 -M7 .211 08.192 .425 .224 .216 .169 0 .

a1.40 8 .122 L1?9 .120 .100 0 .6

Th* -al t vs.Iues fca tha .arv. ork! wink vtoghaao

S51-5-91 660-.~ S, - 1 ?:' -S - -- '-

C 40-7 41, 1 7 *W -~ 8.3U8

iori acurvi a236 ink wn-kz , xha .;d~vote iodjcto ho ftmd 'ruti-iwing Xq. 28. Th r'emItsaxe sbcri in rig. 10.

- - - -- ,ADDi.,4 patbafatica. Vol VI~l. Pant 2.

£0 ~ ~ ~ ~ ~ h- A~ i ~~ U~~M =#s l%.j6 DovW fbtutiamse

r.IMgatU" )bOc±O27 - Prop"*. ADD=i *4, * Aauat 19550

ce ftvga A U -A 0.. -wat a- W444=

2w Oar14gog At t1*. Umdvolty Proms.

* 6. So1h, W. R., 'Statljo arA Lywate .:ltFit iit1i,1935, P5.Fv-iaj6 look clww NG.. Tok.

7. JIabhjw N.V., Obssol ftw"ms For impginprm. First Wi.tioc,

8. Von Lrmmow, ?., tClva1.tlan of Pzras M AirhiW1110. VLCA IV 57k, A-1-1 1930

Uctbommu, Yol V, so. hie JAmWA7r 196

Parallel va2Jae 'Ouluzal of A~PPU66 966hios, 70-3 ;29 ?O. is

p"064-c Proac SWI

1.ftbruar, . A.~, *xlliol*y Symt~i re Teoalio NAbu

Tw.rm D1;tet, )bftte Thesis. Tmuarr O 19] =11froi. Tnat! tutt

k~ft*A-99g.e J..* ODU Armui , btr*", AaatUMS 0100 V0100117 Flids~

Bain., vimli AmmnsO, Trmiaslat flrm aormw poWt A

- .. ,, &. # ' Sf5mi Arinllp Stu'1

AF Ctt~ (i8-6oo-373-hc-M Oteo'r 1955,

o*msO, ?.oa1e Now~t 22, --ue 1955, Cs.*40 3.ntlzt@ Of

*:R_; Q Avwl wta CartY v fl. £Wi

18. Awtzm~v UJ. OAR Aktsion at ths: lyftEyba1. 8Mawj-fak

1? Kpl, C., "t a 3!w AkubD fow Ge*mwAlt~.n um. ltwatal JlovJ% a BM of flovaulavl'. WC IM0 bW 752* 1949

MA1ll~ awamo. amya

21. Wittakers 3*q ad Vat, Got*, Oftdam mijuaI mlwoa3itlas0 1~IAj caftua, . as adS1stv hvgs, Laab

22. hata ROO *wmrt~a Mftoxzial Studl1a of W&*wtbmt14

Zh* C.Gwv., H.S.. and #aei *! aAMa Of Root in SdilU.1? Oxford. *It ith 01.w~uPom

wirT rF4-2r

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FSeURE 3. DEttIVATION Of THE YELnCITY POTENTIALFOR A DOUSLKET

a I , I /

r-

A Fil ANN IWO ^C A rwIB LIT

ISA

Ft"E 3. PINT --URISI W MFO

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iqTi) IOOY SHAPES IPIYESTtoATED

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'&CAL VE.LOC T Y i(b)VLOCTY ISTIWTONSFOR OWES (A,B8C)

(9 In*9 IIMTYI 'lMVT AT -

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