A version of the method of discrete ordinate (MDO) which can be used for an optically thick inhomogeneous atmosphere was developed. The MDO may be implemented as an algorithm simpler than those proposed earlier. The algorithm is the same for each azimuth dependent component of intensity. The MDO can determine the scattered radiation field over its entire length along the vertical. It is shown the MDO, when used for homogeneous atmospheres is in agreement with the results obtained by other methods

Ustinov, Y. A.

Zasova, L. V.

English

NASA Technical Reports Server

; A K a p( Q M n n H a y is C C C P
MHCTMTYT KOGMM^ECKMX MCGJIET^OBAHMir
np-37?
'' , JI.B.SaCOBE, E.A.^CTHHOB
'' IIPKHEHHE IvESTO^A JIMCKPETHtlX OP.HMHAT
- ; K PE11IE.HM10 YPABKEKM IffiPEHOCA. B GJiyHAE
IUIAHETHO£ ATMOC^EFL1
M -o c is p a
https://ntrs.nasa.gov/search.jsp?R=19810014467 2020-03-21T14:18:10+00:00Z
9 A
AKA5EMMS HA7K CCCP
HHCTOTT KCCivCMECKKX MCCJIEJIGBAHK/;
HD-377
JI. B. Sacosa, h. A. YCTKHOB
TTDT/7'TT>i-rTr-TT'n? MTPT''"'. TT A TTTApIT'~-'irrTTrJT ' V T'"D ;"T/T'T •' ^^Li/L.Jl-iULnJ'i-b wuiiu^iA ^yiL/i\r£iint-i-'i. Ur^AiliiAi
.- Dtrnr'KL'T* ^ A Rtrpur/o mpTrfrun^y P prrvu*-"!?
». i J-ju-J-iHyUv' J j. AT-CiiJ-jnyi/l ili-jj. H-'iiV/w-T. J3 UJi«/ J-TS.J-I
irpPiTT-TP.Dp TTUp.f? TTJT AUT? rpUrjf^ A'f ](" pfh'CP'DL'
1977
Preceding Page Blank
,.,. w '^
• aSBKT KGBytf BapviEHT MS TO .EH ,}rtfCKB8TKHX OpJIKHaT,
K KeOJ;KCpO;aHOK aTMOCtbepe OOJIBflJOK OITTireeCKOi* TOJIIUKHH. B OTJIX^Ke
OT cyiuecTB.yKTiiKx MOTti/itr-iiKaLiK:" MUC, TraHKHi! BapaaHT MOKBT ^HTL pea
jiyisosaH B Bi'iiie epasHMTejiBKo npocToro anropnTwa, ejtKHoro jym
Bcex asi-LMyTajiLHHx KOMnoKeHT peui6KHH. HoKasaHO, ^TO ^aKHHK we-
TO,IT jyT.fr oitHoponHHX aTMOomep jiaeT xopomee; corjracne c
A new version of the discrete-ordinate method is developed,
wich can be used for an optically thick inhomogeneous atao-
sphe.re; It may be implemented as an algorithm simpler- than
those proposed earlier^ The algorithm is the same for each
azirravii-dependent component of intensity. It is shovrei that
the method proposed when used for horaogeaeous atraospheres is
;i;ood ac;reemeat with the results obtained by other methods.
:eding Page Blank
OpA'HHaT /r,iJLO/ JoBJiSeTC^ KJiaCGK^eCK/lM M8TO,I>GIY:
penieHHH ypaBHeKMJi nepenoca. npejyioxeKKHX B I95CT. liaH£paceKapGM
[i j
 5 OH KeonKOKpaTHo npHweKfL/icH rips pemeHMM pn^a sa^aH cnTHKH ruia-
HeTHHx aTMcccpep. OJIHIUVI us ^OCTOHHCIB r,;HO HBJineTCH BOSMC^HOCTB ou-
resejiHTB ne TOJIBKO H3JiyiieKMe.1oTpa-seHHoe MJIH nponymeHKoe aTMOccce-
POK, KO M nojie pacceHKHoro HSJI^ICHKH sa ECBM ee npOTH^enKii no
BepTHKoJIIl. i:aK HSEeCTKO, OCKOBHaH EJien fvieTOJia COCTQKT 30 335,26-
FI:H 2n s:c:-:peTHHx HaupaEJiSKiif! no seHMTKOMy yrjiy z saMene znTer-
pajiBHoro Hjiena 3 ypasHSKHK nepenoca cooTB8TCTBYioii;ef! KBazrcaTyp-nok
oy:,jv:o... "pii STOM ypasHen/ie nepenoca npeoopasyeTCH K rviaTpn^HOMy
Jii-!Kel:KO?.^y Heo^Kopo^KO.vy ^vK^epefim-iajiBHCKy ypaBKenitJO A^IH seKToia,
cocTaBJieHHoro zs SKaseHwf: KHTenciOBHOCTK pacceHHHoro HSJiy^eHi^
nOOTGMV K03ij>.,:HL;MeKTH 3TOTO ypaBHSKKH nOCTOHHKii, 4TO
np,>iiv;eHMTB ZEJIH ero peiueHUH CTaH^apTHHii. MSTO^, ncn
'"•or^ 'T"O c-rnrirP'C"\"P'rr- ',r-":- T; ^  ^ ^^ ^ jr ^ * <"T-r ,~ '" ; v"*7'^ ^'Mi'O o^v f t - T. 7UvJW i ij-v A V/ J JS.V C i i'lO 3t?V.i i r t l / .^V i ,~. I A;.'1./ 1. W» -O_-V-':Vi ;'
BO paOoT, nooBziiieHHyx npiCv'.eHeKyjc iv'JlO JI.^H rasJi^-HKx cjivqaes neie
Koca cojine^Hcro K TenjioBcro iis.iy^eHiiH B ruiaKeTHirx aTMOccpepax,

nc^epnHBajonr/jS (3Hdjraorpa$BHecKsM odsop no BTOW^ sonpocy MOP
C)H CTBTB T6MOH OT.38JILHOK IiydJIHKaEtiiVI . IIOSaBJlfllOniee •dOJiHSKHCTBO
3THX padOT, KaK E!"l], OTHOCKTCS K OjmOpOJpIHM aTKOCIpepaM. JIliIIEb
•v jn«<& S;>s":l ^^^'--^3'ri • •
cpasHETeJiLKO He^aBHO'Ha^aSo pasBHsaTLCH HanpaEJieHne
Koe MH cjiyqan BepTmcaJiLHO HeojiHOpojiHHx aTMOc$ep. Odsop 3 TEX
pacioT j;aK Bl2}t rjie HSJioxeH ajiropKTM;, n
ypa£H8HKH nepeHoca B HeosHopojrHOM aTMOc$epe npM secBMa
. rpSHKHKHX yCJIOBHHX Ha B6PXK8H K HKSH6M TpaHimaX. V&eSl, n0320JI320-
uias rrpravjeHHTB JyjjTO K HSO^HOPOJIHHM aTMocgpepaM, COCTOMT BO BBe^e-
ysjios . KHTerpirpOBaHMH no onTMHecKoi: rjiydnne M coBMecTHOM pe-
eKKOM ciicTeMH MaTpjrqHHX ypasHeHnS. HecMOTpn Ha OTHOCH
npocTOTy ^TOH MjreK, npaKTiwecKaa peajiasauiLn ee 3 pao'OTe
K secLivia rpOMOsmcoiviy ajiropHTwy, KOTOPHH B padoTsL2]
H3JIOS6K TOJILKO JLJIA aSZMyTajILHO-HesaBHCHMOK KOMHOHeHTH HHT6HCHB-
'
HOCTK. .: ' '
C spyroil cT-opOKH, K HacTOHHieiviy apeMenK '
noJiTq^Ji npji?,5oi'i MBTO^; peiiieHi-iH ypaBHeHKH nepenoca
"^leCKKX rapMOHKK - iviCr/, npHBOAHmKH B npHMeKeHKH K K
aTMOctiepaM K dojiee npocTon i\iaTpHVKOK sa^a^.e, jym KOTOpot paspa-
doTaHH weTo^H, nosBOJUirOimie nojiy^iiiTL ci-adKJiBHoe pemeHHe B cjiyn'ae
dOJIBUiOM OnTH^ieGKOK TOJIUiHKHfS-S].
jiL HacTOHinen padoTH - ^,aTL ajiropzTM nocTpoeHUi K pemeniiH •
:/: sajia^H JUIR IviJlO, aKa-iom^HOii cooTBeTCTEyiomeM w
TUI MCT H rrpo^eMOHCTpHpOBaTL padoTocnocodnocTB
I. IIocToeKze Kia
jycTL pacc?/aTDMBaeTGH pacceKBajomaa H norjiouiajouian cpejra, laiej
onTK^iecKyio .TOJiiuHHy r.^ , xapaKTepKCTMKH pacceHHiin K norjio-
• '
^ KOtO^of; SaBKCHT OT rJIjOKKH. 3TH XapaKTepHCTi-IKZ MOPYT dHTB
Preceding Page Blank
OfflJCHKbT
HHjaiK.a:rp?.cH pacce^mta no noJiKHOMaw
HKOH TEKKM OdpaSOM, HTO BeJIiTCHHa <^ HBJIH6TCH
pacceHHKH. ypaBHeHne nepenoca sanzcHsaeTcs B
2r
f Jp (-*; c***') *C*j "> r'y <*u 'df '+ /i/
0 - 1
I - uKTencKBHOGTB pacceHHHoro HSJiy^
r - onTJinecKafl rjiydKHa, zsr/iejxseMaH OT sepxHefi rpanxiiH
cspepn ;
^ > ^ / / r . f ,f' - KocKHyc seHHTHoro -.yrjia 2 asi-iMyT H
paccenHHoro HSJiyqeniiH, MSMepneMoro O
- BHeaTMOctpepHaH ocBemeHHOCTB ruiomajtKH, nepne,HjniKyjifipHo
HanpaBJieHico cojme^HHX jryqeK ;
- KocMKyc seHHTHoro yrjia CojiKqa, MSMepneworo OT
pufi, B:-!pa:~ax)ii{He OTcyTCTBue paccesHHoro KSJTV
Ka aTMocgpepy csepxy, H HajiK^ne cHKsy pacceiiBaionieii ucn-
:a:oiyeK nosepxHocTM CHHay. woryT dHTB samicaKH 3
. .eceding Page Blank
rfo• „< vO -• 0
- ( -," -".. / *> .1
w < o
, ^I 5o >O - KOSCD-
» , • ; '. - r- , v *«' J '
* • : - . . . • . , . - , - ? ! • "
eHT oTpaseHsia noji,cTH,rraffieieS itosepxHocTHc
." j /
iejiyji [I] H npeoopaayH riOJUaHoiviH.JIe^KaHjijia OT apryMeHTOB C&z 9 ,
c noMoiuLio Teope/v^ C£OJK8HHH cffiepii^e
X
 '
.,
r,n;e
cooTHomeKue.v;:
x f o, Y :'Yu)
"' a»
3 a TOM
jioscaHils no
yasKeKMH nseHQca MOSHO 3 Bas
Uocjie noACTaHOBKK /2/ 5 ypaEKSKHe nepenoca /I/
LHHX JT)aBHeKHt jyifT. A/ -r I aSKIviyTa^LHH
BEej-eHHe 2^ seHsn'KKx iiaiipaaJieHiiJ
ysJiH cooTBSTCTEyx/uisf K:^a:np:rryi;HOf
-r fft ^ N7 ^ naoopoM <s/ !? ee 3Ra"
odoii
Paycoaj K
Preceding
 Page B/ank
HpK 3 TOM KKT8PpaJI B ypaBHftKHJi- IZSppHOCa /I;/ saWfiK-ESTr./! K^a.u^a-
Tv-pHOi* cyivUvioH Faycca., 3 pegyJiBTaTp^Jiojiy^aeTCH c^ore^a . -? Ju-TK
•J JT •' * '•' 3 * X *
 t *•- a " V * " *- * ' ' ' 1 " 'MHriU'J V^H- "! «.-;• •-••' -•
KHX ypaBKeHHK jyiS KasjIOfi aSHMyTaJILHOS KOhinOHeKTH KHTeHCHEKOCTJl
r.n;e u- - VSJIM B KBajipaTypHOM grapMyJie Paycca, KOTOpne HB
c';. - seca 3 Ksa^paTypnoK cx)pMyjie Taycca, a..- a^; ;
oo
YSJIH K seca KBaApaxypHOK (pop^jr^^Tyg BKjr-o^KTejiLHO upKEeueHoi B
dJi . I j a jyiH dojiee BHCOKEX cTenenet - 3 pac5o?e[lOj .•
Bepxnee rpaHH^Hoe ycjiOBae Bbipa^caeT OTCYTCTEKS jniraysH
na^aioiuero na aTMocccepy csepxy
Uis; TOPO ^iTodK sanncaTL HHKHee rpai-iKHKoe ycjiosiie,
^iTO KOSauHDyieHT OTpaKcKHH nOTTCTKJiaK)Ii;eK nOBepXKOCTyi
ieTCH 3 WARS pn^a •
Torjia roi/KHee rpa?nsHHoe ycjiosze npe^cTaEjmeTCH Cjiez^Tomeit CMCTS-
MOH
B ^acTHGCTK, eaix no,5CTviJiaioLuaji nosepx-kocTL
no saKOHy Jlaw^epTa, TO /4 f^ f .^f ' ) =A
, "UTO^H sairacaTt cucTeMy ypaBHepffl'S /3/ c rpa;-:KVKri^.i
4,.5/ B r/aT
5 H
-eding Page Blank
8/««
= _
A
SHTeHCHBHOCTE C KOMHOHeHTaMH /f
ff j ;~ <7 -f J. | . o • • « ~~±. } TJ- ) • • • • • • •
MaTpima 2n x 2n c
0 i
= I.f
S-I, ^7
o'*C - jj
^,. =V i ,
x 2n c
0
P
~
A;
^ = -^ ,--/?+!,.
36KTOp C KOMHOHeKTaMH
.-I, +I-,. o c, n -I, /?
^
r
-T
/^G - waTpima panra n c
= I
- B6KTOp paSMepHOCTH ^ C
"t ", K " & " ccoTBeTCTseKHO BepxHioio
nojiosKHy MaTpKujj HJIH BeKTOpa. Tor^a,
#*/= I-"' (r
yji 3Be.neHHHe EHiiie odosKa^eKUfi, CKCTSIV^ vTa:5-:-:eHEii /3/
/4,5/ MOJKHO saimcaTB cJiST
Preceding Page Blank
- 3-ca
. o
JL3W HHTerpKpOBaiffifl CHCTSMH /6/ BHtfupaeTCH
ty no zviydiiHe, TEK HTO ^ = 0, -^
/6/ B KOHe^iKHx pasHOCTHXt
ysjios HHTerpspo
• Tor#a,
rjie
• rC
pemenHH ocymecTBjLTJiacB no MeTojiy,
B[S].- Us kadopa TOHBK '£,. / t = I, 2, ... A/0' / BHdKpajiocL ne-
ICJIO T.H. TOHSK nepeodycjioB-iKsaHES t;/x= 1,2,... A/C/.
« .
qeM /f = ; I , i^ = v . To^iKii BHdnpajoTc^ HCXOJIH us Tpedosa-
WTO da KH KKTepsajie Meamy cocezi^MQi To^nc
ne ycneBajEH BHpacTH BO saMeTHOH Bejni'^iHHH. Bee
OTHOCKTCH K HpOHSBOJILKOfi aSHMyTaJILKOll TapMOKKKe, II03-
^ ^> onycKaeM. . • '
JyiH pemeHiiK czcTe.MH ypasHeHHt /?/ onpe^ejui
HOCTL MaTpan Uf paswepOM 2n xn -& 2n -
/a/
Preceding Page Blank
1C
f 01
X - 1
MaTpima paHra
< i <
J -
B TOHKEX nepeodycjiOBjraBaKKH. aTir BejiiKjiHH- Q
tfrnmsupyiomnx npeocSpaaoBaniit"-. JUrff ' s'^ roro' no.
HKHM /8,9/ onpesejunoTOff sejiH^HHH ;
A
 1
U; = U- \ . . '
'* ' I /.=•; 9 :
: ua cT.a—
(,• = u.\ .
'* ' ! '' = '«
no KOTOpHM onpe^ejunoTCH MaTpimn panra n * ~TK
r * -i ^ - 1T ---• ( U. )i & V- /., s •>
n —
CTadiuiK3Mpo3aKHbie B TOHKe nepeoCyc-
: onpe.neji£[ioTCH no
^. =
U; =
" J
A € -
a,- -
JlaJiee no peKyppeHfHHM COOTHOIHSHZHM /8 / K /9/ L/;-
• ! - . _ * • -
B TTT"' O T7 & TT G V i±± ^j ^j j' Cjw' ^ <^Vy - fe
H U; •• H
onpe^ejDieTcj? BCKTCP paswepHocTH ^ us
Preceding Page Blank
cTponTCH nocjiesoBaTejiLHOcTB seKTopos
,
Torjja peinemie • CM.Q^IVO i?f ?/. ..-©n-pe^gJiK^eli) -Blfii
^ S - S " Sjt»" '"'— *1
. "A: = I, 2S ... A/-I , ' ./IO/
2. CpaBHeHne c
^H- npqBepKH pac5orocnococ5HOCTH M.eTojta (JKJI npose^eH
Bj, pesyjii.T-aTH KOTOPLIX cpaBHHBajrac.L c pesyjiBTaTa^iH,
^pyriiMH MeTojraMH. ilpii pacqeTax npHHKMajiacL MHjijiKaTpE
HHJi XeH-LH^rpHHCTeHHa C ^ = 0,7.
Ha DHC,I n^ejicTaBJieHK pesyjiLTaTH pac^exa aHTeHCHBHOCTH
^8HKH,OTpaseHHOPO H npOIiymeHKOro" OH-TM^eCKK TOJTCTO>! CpejIOil
/ ~c6 = 30/ npM noMomn Mero^a CTCKpeTHHx opj^HHaT AlHO/, M
csepii^iecKKX rapMOKHK /MGP/ H acEMETOTireecKKX $opiv:yjir?], KOTopne
npH TaKKx onTirqecKECX TOJimiiHax saioT npaKTH^ecKK To^noe pememie.
CjiejiyeT odpaTHTL BHi-LviaHHe Ha peryjmpHKe SHaKonepeweKHKe
KIW nojiyHaeMOPO peiueHns OT TO^HHX SHa^eHiiii KHTSHCHBKOCTK. STK
OTKJIOHSKKH HejiLSH c^MTaTL CBo3cTBeKHHMK ^attHOMy .vieTojiy
Ma?pir?HOH sasaHK, nocKOJiBKy TaKne se OTFJioneHMH
spa pemeKKii cKCTer-.iH /2/ MeiosoM xapaKTepKCTH^ecKoro
B cjiynae OJTKOPOJIHOM aTMcccjepH[8]. IIo-BK^MO.\Ty, OKK npzcyiiiM ca-
MOh-ry MeTojiy, ja^cKpeTHbix opjc-iKaT K BHSBanK saMeno?! HHTerpajia na
yrjiy cooTBeTCTB.yKJiiiei-i laj.MjxiiaTypHOii c.ywMoi'i. OTMeTiiw s^ecL :«e, ITO
MCT .nae'T jyin ' oTpaaceHHoro K ' nponymenHoro
preceding Page Blank
12
KHTeHCHBHOCTM, ojuiaKo , BHyxpH cpe^y
'dHCTpo CXOJVITCS.K TOHHOwy. Ha pEc,2 npKBejieHH pesyjiLTara -pacseTa
KQMEQHeHTH I B 3 a E ^ E ' . & T K Q S J I ^ - 6 E H H HO MftO H MCT,
I o6a MSTO^a .jjaKxr npaKTiraecKH oj^iHaKOBHe
CpaBHemie peayjiLTaTOB pac^e?a B 3aBMcnMOCTn OT t no MHO z
MCT npHBeseHO na pHc.3.
. SHa^eHHe noTOKa yxojyrnero 23Jiy?eHHH JI^IH pasjnrqHHX yrJios na^e-
H pasjDMHHx t jiaHH. B Ta(3ji.2, r^e OHH cpaBKHBaKjT&H c pe-
pacneTOB no JViZK) c iicnoJiL30BaHH9M xapaKTepHCTiwecK'oro
JHiCKpeTHHX
K HeoaHopojyiOK aTMOc$epe dojiBmoM onTireecKofi TOjnmMH. B
OT cyniecTByioiiiKx UMO^SKKaaM jViI[0[2j,^aHHHfi sapnaHT r^oxe
r
. .
B BHjie cpasHETejiLHO npocToro azropETMa, ejomoro
asHwyTajiLHHx KoivmoHeHT peuieHKH. HoKasaHO, HTO
ojiHOpoji^HX aTwocgpep ^aeT xopomee corjiaciie c
Preceding Page Blank
13
JlHTepaT.ypa
I. C/HaHiipaceKap., nepeHcc JijqMCTO^ 3HeprKH, M, H3,n;-B0 "MHOCT-
-^ — -„ .-A •?.". TTTFrn -\T-i*-^ r-Trr-'-ST T Cfl "T O ^ I^'
2« •R^E^Barlcstom. AIAA Paper, 1975S Ki 701 „
3. J6Caaosas H»EaPea.afi6l0 J0 Quant, Spectr0 Sad. Transfer,
; 5
4. J0V9Dave, J0Ca«os£. J0 At®, Sci;5 19749 ^ 9 1039.
5. E.A.ycTHKOB. HpenpEHT MM AH CCCP, 1976, Ep-307.
6. S.A.YCTHHOB, B.ivL©KJIPIMOK03a. "KpCfjOIHSCKKe KCCJie^OBaKiiH", •
1977t 15, 619.
7. R0BaDsiiielSGEi3 D0EoMoore, E eC0 van <ie-Exilst0 <Je Atm, Sci.,
19S9& ^65 1078, ;
3. K.K.Licuc 0". Atea Scie j 1973s ^2» 1303»
9. AoN.Lowaa, K0Davids, A«Levensoai Bull. Amer. 'Mato Soc,,
•0. A.C.KpOKpoji. YSJIK K seca KBajrpaTypHHx (poprvffji, M, KSJI-BO
"HayKa", 1969.
Preceding Page Blank
r* *"i **-"ysjiu E seca Ksa^paTypKOK mopMyjia Paycea '(.9j 5L
=, = 0,577350269189
-f = 0,339981043584
:,= 0,861136311594
=, = 0,238619186083
^ = 0,661209386466
:a= 0,932469514203O
^ = 0,163454642495
_ /-i nro^Kqo.-' HQOT A
-j — 'o , •J'CiJ^ OiC-iW^ w'j.Di
, = 0,796566477413
w
, = 0,960289o56497
0,I463743389oi
0,433395394129
0,679409566299
n qO
oc., -
a, = 1,000000000000
n = 4
/ ~
a£ ~
S*v —ar -
a,. =
0,652145154862
0,347854845137
0,467913934572
,0,360761573048
i0,171324492379
A? = 8
10
Q5 =
.-V.
•4
a., =
0,313706645d77
0,222381034453
/^  T /"- T * > (—..—. f— r^ _ .:-» f~j (~-; **>
0,295524224714
•'0,269266719309
P, OTO.^.'UCOC Or,T C
V &± w ' V j O ' - J i -
T A Q A z, 7 ° ': Q T -
' j i 'i ^ "i cJJ. O-j: *J J. >
x^ X — ("'• p. ^.'.'-- -T. r,< ~ O --1 .- ';• •""; -.'.'
_ .0 ; Q_. =Q.

15
Beca
: >lnsia
cc, = 0,125233408511
cc, = 0,367831498998
cc3= 0,587317954286
cx^ = 0,769902674194
5^= 0,904117256370
oc_ = 0,981560634246
'= 0,108054948707
= 0,319112368927
= 0,515248636358
= 0,687292904811
= 0,827201315069
= 0,928434883663
= 0,986283808696
oc_
o
~4
r*
~S
"&
"7
^3 =
« ~
0,095012509837
0,281603550779
0,458016777657
= 0,617876244402
= 0,755404408355
= 0,865631202387
= 0,944575023073
= 0,989400934991
***/? **
n = 14
n - 16
a, = 0,249147045313
a2 = 0,233492536538
a = 0,203167426723
w
a4 = 0,160078328543
a5= 0,106939325995
Gg = 0,047175336386'
a, = 0,215263853463
Q2 = 0,205198463721
a3= 0,185538397477
a^^ 0,157203167156
C
*S'= C.i 21 5i8 570587
ag= 0,080158087159
a7= 0,035119460331
a? = 0,189450610455
Q2= 0,182603415044
as= 0,159156519395
a^ = 0,149595988816
a5= 0,124628971255
a& - 0,095158511682
a7= 0,062253523938
0 = 0,027152459411
Blank
16
' Ho TDK yxojynuero
B saBSCKMOCTil OT yTJIOB
TOJIUUiHH
JU0 Ifi.
2-
-«
p. ?s
^. 9 C«J
1 --. j W v<
4,00
_
16,00
L
- ^ = 0 . 1
KacTOfimafi
0,41769
0,58572
0,73643
0,88382
c?]
1
 0$ 41768
0,58567
0,73541
0,88240
A > = ° * 5 •
padoTa
0,07158
0,24086
0,52008
0,78774
[3]
0,07165
0,24048
0,51977
0,78702
ft = 0,9
pa6oTa
0,02260
0,09671
0,34836
0,70760
[a]'
0,02246
0,09654
0,34776
0,70627
Preceding Page Blank
0 30 6O
/Jrccoi U
90 120 150 :180
Arccos U
I
, c^= I, "C" = 30, //0= I,
cimoniHaH JIHHHH - MCr, nyHKTHp
= 0,3.
Preceding Page Blank
n- tZ. i i. : ;. s" O «' •- »"» :i • Dfi«; ^ |.yI'} • ;^i *.
MCI"
0 H -I
-
 w
'
saBKCHMOcTx OT
no MUG K MCF.
"C = 30 ; ,4 = 0,
KoJT rjiy-
= 0,770 ;
ding Page Blank
Precf -g Rage Blank
Pnc.3 I /F B
HHa.? no MUC K .V.cr.
30;
TH OT orrrx^ecKoS rjiydMK
u = Q,77G ; ^ = 0 , 5 ;
=
Preceding Page Blank
T'liDas 100 3K3


Application of the method of discrete ordinates to the solution of the transport equation in the case of an inhomogeneous planetary atmosphere

Abstract

Similar works

Full text

Available Versions

NASA Technical Reports Server