SCIENTIFIC ABSTRACT TARATYNOVA, G.P. - TARAYEVA, YE.K.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001755010002-0
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: September 26, 2002
• Sequence Number: 2
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

TARkTMVA, G.P.
-
Methods of numerical solutions of equations In finite differences
and their application to the calculation of orbits of artificial
earth satellites. Isk.sput.Zem. no.4:56-81 160.
(KML 13:5)
(ArtifACI&I 9&tSllltM) (Orbits)
(Differential equations)

I'lo
B/044/62/000/006/078/127
B168/B112
AUTHOR: Taratynova,-G. P.
TITLE: Methods of numerical solution of finite difference equations
and th'eir application to the calculation of the orbits of
artificial earth satellites
PERIODICAL: Referativnyy zhurnal. Matematika, no'. 6, 1962,"26'-27,
abstract 6VI35 (Sb. "Isku3stv. sputniki Zemlill, M.,
'AN SBSR, no.,4, 1960, 56-81)
TEXT: For the finite difference equation of the first order
Yn+1 - Yn " f(xn, Yn) (n - 1,2....
where xn+1 - Xn + h, f(Xn, Yn) is a differentiable function, the initial
value y - y 0 is known for x a xo. The problem posed is to find the value
of the unknown function y, which satisfies (1) when.x - xn + H, wher6
H - Nh ~nd N is a positive I.nteger, if the value of y is known for x xn-
Card 1/7

S/04 62/000/006/078/127
Methods of numerical solution of... B168YB112
By analogy with the methods of numerical integration of ordinary
differential equations, two different methods were worked out for the
numerical solution of equations (1): methods of the Runge type aud
interpolation methods of the Adams type. In the Runge-type methods, the
inoreaso of the unknown function y of equation (1) with an accuracy up to
terms of the fourth order can be represented in the form of-a combination
of four express ions of the form:
-Y(X, +h)-y(x.)=,Rlkl +'R2k2 + Rik,
where A, - NJ (Xn- Yn),
As =j Nf (xn + a,/4 L',j + Piks)
As Nt (xn + allit, va 0A Pahl),
1k4 NI Vn + YA + 0441 P*k* _~ P6ks),
whilst the parameters a 11 a21 a3i Pl' P2' P31 P4' P51 P61 and the weight
functions R 11 R2 , R39 R4depend on ~. From the system of algebraio*equa-
tions used to determine the parameters and weight functions it follows that
Card 2/7

3/044/62/000/006/078/-127
Methods of numerical solution of... B168/BI12
the parameters a i and Pi must of necessity be dependent upon the
correlations
a 1 - Plf- c12 - 02 + 039 cg3 - P4 + P5 + P6-
Apart fz*om this it was found that two of the parameters desired can be
given.*'arbitrarily. Accordingly, a two-parameter family of methods used for
the numerical solution of equation (1) corresponds to a two-parameter
family of solutions for a system of algebraic equations.. Leaving a I and a 2
as aibitrary values we get:
77."
'2s, (2*,N - N + 1) 7
:1 (.1 QV - 3) "Z,:),
261 (NIV - N + i)
N _N + 1)
(iV (24,
N I
_j-
15~9
+
W(N -:- 1) +!IN 4,V .+2)-
R4 = ,
-12 (aIN -if Yj!O
Card 3/ 7

S/044/62/000/()06/078/127
Methods of numerical solution,of... B168/B112
a (3a - 4N + 2)
~V
1+
N + 1) (%Nj~ N +1)
12 (sjN
(N - 1) 2 (eIRS + 9SR6).
Ir.- R, - Rs-;-!
UIN
(2)
1) (N - 2)_ - GAIS L-10.R. + OLIP.R.)
P P P6'
4 N 5
In addition to the two-parameter family of numerical solution methods of
equation (1), there is also a one-parameter family provided that the system
of algebraio equations fo.r determining the parameters ai and ~i and
weights R in the so-called special casesy determined by the relations
i __ . '. - , ..- 1."-1-7-.
- ' ~ 1" - i . - - - ~- '.tr , '-
.41'=''O, 2) 4)
4
6
~O 9) R'~-O -.4
R
Card 4/7 -4~ T.

Methods of numerical solution of...
is solvable. The special cases
for (2). In the special cases
the determination of a,, Pit Ri
param Ieters sought. In the case
corresponding to R 3 - 0, of the
S104 62/000/096/078/127
B168YBI12
are excluded when working out a solution
(1) and (10), the system of equations,for
is not satisfied by any finiie values of the
of (7) there is a unique solutionp
form
I 3N-1 -1) (3N,- 1) (3N 5)
641V (JV - 2)
(N - 1) (N-- 4)
2AF 64N (,V - 2)
(N - 7) (N + *1) NA- I -
(N- 1) (N-2)
6 (3N - 1) 6(3N-5)
-2AF,
16-(N - 1) (N - 2).
(3N - ) (aN' - 18N + 11) ,R R, 0.
1) 0 - I
Card 5/7

, I 3/044j62/000/006/078/127
Methods of numerical solution of... B168/BI12
In the case of (9) the solution is expressed in radicals and is awkward to
apply in ractice. Formulas for a one-parameter s*olution are given in the
cases of M, (3), (4), (5), (6 , and (8). Third-order methods of
numerical solution of equation ~1) depending on one and two parameters are
also obtained. On the basis of the example of the family of third-order
methods it is shown how two free parameters can be dealt with so as to
reduce the remainder term to a minimum. If the values of the increments of
the unknown function are known in equation (1) for 4 values of the argument:
X = xn - 3H, xn-2N ' xn - 2H, xn-N ' xn HI xnl where H = Nh and the
n-3N
value of yn+N has to be determined for X n+H xn + R, then the author
proposes the interpolation methodp which is a generalization of the Adams
method. Accordingly,
Yn Yn+N - Yn = Nf n + aNaf n-N' + PNA 2fn-2N + xNA3 fn-3N' (3)
where
a (N - 1)/2N, P - (N - 1)(5ff -'1)/12N 2 (N - IWN WON 2
or, expressing the increment in terms of the functions f f
n-3N, n-2N'
Card 6/7

S/044/62/000/006/()78/127
Methods of numerical solution of... B168/BI12
fn-N an' fn, we get:
A'y n R1Nf n-3N + R2Nn-2N + R3Nf n-N + R4NfnO (4)
where- R . _(N - '1)(3N - 1),/6N2, R (N - I)07N - 1'1)/24N2
1 .2
R3- -(N - 1)(59N-- 13)124N 21 R4 ~ (55N 2 _ 36N + 5)/24N2.
Formulas (3) and (4) correspond.to the case of equidistant points for a
sloping line. Formulas for numerical integration of (1) for oases of a
horizontal and a broken line with equidistant points and also formulas for
numerical integration for the case of a sloping line with non-equidistant
points are given. A method of "initial rapprochement" for obtaining the
four initial values of the unknown function with certain values of the
argument - these initial values being necessary for the calculation - in
indicated. The limiting case of h - 0 or N --> co is examined. The
formulas obtained are used by the author for a numerioal solution of the
system of difference equations arising in calculatiohs of the orbits of
artificial earth satellites. Some results of calculations for orbits are
given. [Abstracter's note; Complete translation.]
Card 7/7

PEWTAKOV, A.A. -, TARATTNOVA. Z.G.
000, -Mw2MSw--%-Iw
Use of hardness tests for determining the cwhanical properties
of sheet metals. Zav. lab. 21 no.2:22B-229 155 WU 8:6)
(Sheet metal-Testing)

LOKSHIN, tekhn.nauk#- PAVLENKO, L.I., inzho; TALDYM, K*N,., insh.;
. ;as*.* inzho
Temperature conditions in the operation of air preheaters with a
bi& degree of air beating, Slekonte. 32 no.4s2le-29 AV 161.
(Air Proheators) (MIRA 34:7)

LOKSHIN, V.A., kand.tekhn.nauk; PAVLENKO, L.I., inzh.; TAfUtVKOV, S.S., inzh,
Testing of a small economizer for boilers fired with anthracite
fines under a system of upward gas flow. Teploenergetika 9
no.5:10-15 MY '62. (MIRA 15:4)
1. Vsesoyuznyy teplotekhnicheskiy institut i Rostovenerro.
(Boilers--Testing)

TATARINOV, B.P., 6'~-,,i4tor LeLhy,.
inzh.
Redesigning-of Lho separator systems. of the boll6pa of a them,,O
electric power plant and state regional electric power plant (,.f
the Rostov Electric Utility System. Elek. sta. 34 no.10;
6-9 0 t63. (MIFA 16.z111)

TA.;~A%.'Olli, F. S' .
r), I. ~jep.,,Fj,ov, , tal, 1947, 7, l0(-,,-9; !"hrim. A5str., 1947, , 5070
1 0 - I ~, -1

EXCERKA-FRU~A_ 3eC__17 Vol 512 - Puhllc Health - Feb 59
582. FOUR YEARS' EXPERIENCE OF TAENIASIS CONTROL IN THE REGION
OF THE FIRST LENINAKAN UNITED HOSPITAL (Russian text) - T a r a -
jan AA, M MED. PARAZIT. (Moak.) 1958. 27/2 (165-169) Tablei;F":-
Exit taen4ases was carried out in one of the regions of Leninakan during
IeS3-1956. The work consisted In detection of the patients. their treatment in
hospital and the final verification of the results of treatment In 3-3.5 months. Hos-
pital treatment gave positive results In about 72% of cases. When the results of
treatment were checked in 3-3.5 months. it was demonstrated that complete dis-
infestation was attained in 87% of cases. The number of patients Infected by taenia
decreased from 203 in 1953 to 70 in 1956. while the infection of the region de-
creased from'0.8 to 0.2% for the same period. Cysticercosis of the cattle accord-
ing to data from the meat factory showed considerable decrease an a result of
veterinary-sanitary measures which were carried nut simultaneously. (XVH, 50)
fe

ggT (M)/r-
,Wp(t)/ETI IJP(C) T
L 03029-67 V.D
ACC N11 AF6&9016 /V) SOURCE CODE: I
AUTHOR: Sh1wobot, E. P.; Tarayanp He G.; Blyakhman., AeAq
1/0
ORGs State Scientific-Ronearch Institute for Nonferrous Yotals (Gosudarstyannyyle
n
TITLE; Production of analy-tical concentrate during analysis of high-purity tellurium
SOURCE: Zavodskaya laboratorlyal ve 32, no* 19 1966, 18 /1 -7
TOPIC TAGS: inorganic synthenis,, tellurium compound, spectrographio analysis
ABSTRACT; A method of concentrating impurities by extracting them in the form of
dithizonate and hydroxyquinolate compounds was used during the analysis of high-
purity telluri=e The dithizonates and hydroxyquinolates of all impurities., except
gold, were extracted by 95-100% at pH 10. The gold dithizonato was extracted from a
3 N HC1 solution. Cyclohexanol. was added during the extraction of Al; Cd., Ag,, and Cc
were extracted into concentrate by 50% on the average. This required the use of
correction coefficients when determining their amounts. Other elements were extracted
almost entirely (:$-75%). The analysis of tellurium consintod of (1) dissolving the
To sample in a mixture of HC1 and HNO (2) extracting gold dithizonate from - 2o5 N
HClp (3) extracting other Impurities &M ammonia solution (PH 10) in the presence of
cyclohexanol, and (4) producing a concentrate of impurities by the evaporation of the

FACC
combined extraction in the presence of To oxide and charcoal powder, the burning or
organic substances# and the roasting of dry residue for 5 mines at 400-42OCe The con-
centrate was then analyzed spectrally. The sensitivity of determinations vas nalo-5%
for Znj n-10-0% for Cd* Nip Cos Fe, Au. and 10-7% for Agp Cu. Gat In# Alp Fbj, Bi, The
presence Al. Fe, and Cu in used reagents even after their purification., made it im-
,cn-10-5 and Cu -C n-10-7%. K. A. Aldoahinat FjF Kol-
possible to determine Aland Fe *I,- __g__
makova and G. 1. Krivousova participated in the work. Spectral igilFals was made 57'
T.:%~.Bogoyavlensgy-a, L. Fe Fereverzoval and Lo V, ~bstryukova,,
SUB CODEs 07/ SUBM DATEj none

TARAYAN, M. G.
Method of determining sulfur -in tsllurim- Sbor. naucb. trad.
Gintsvetmeta no.191-740-742 162o (MIRA 16:7)
Sulfur-Analysis)
enuriuw-Analysio)
R

TARATA
Tftining specialiNtB A Pl&uto ffO UO*n:60 N 039-
(MIRA 13t4)
1, Chlon respublikangkogo pravlenlys Ilauchno-takhnicheskogo
obahchestva priborostroyent", gJareven.
(*IT"-InstrMent Inbletry)

TAUYAN, S.
The first conference In Armenia. NTO n0-12;32 D 159 (MIRA 13;3)
1. Uchenyy sekretarl Armyanskogo respublikanskoge pravlentya Nauchno-
tekhnicheskogo obshchestva priborostroitellnoy promyshlennosti.
(Armenia--Instrument industry)

FANDSYAN, A.K... ARUTYUIPLAN, R.Sh.; TARAYAN, Sh.s.
Effect of the '-r-terrelationships cf some Boll on
I
nitrogen asstmilation under various farm rrops. Vcp.rdkrobicl.
no.1:2a9-229 161. (MIRA 1-7-.3-0)

TARAYAN., S.
In the Scientific Technical So&ety of Armenian Instrument Mumfacturers.
Prox.Arm. 5 no.l.-59-61 Ja 162. (AM .15:2)
1, Uchenyy sekretarl Armyanskogo reopublikanakago pravleniya
Nauchno-takhnicheakigo obshchestva priboroutroitalluoy
promyshlennosti.
(Armenia-Instrument industry)

TARAYAN, S.
Valuable initiative. Prom.Arm. 5 no.9-.58-59 S 162- (MIRA 15:9)
1, Uchenyy sektetarl Nauchno-tekhnichookogo obshchestva
priboroutroitellnoy promyohlonnof3ti Armonii.
(Armenia-Machine-to4ol industry)

TARAYANF S.G.
The HY7 microammater. Priborootroanis n0-5.-26 My 162 iMMA 15:5)
(Ammeter)

TARAVAR, - S.G.
The M97-mir-roammeter. Priborostroenia no.7:28-29 -11 163.
(MM 16:9)

-- ---- - - -- -m- - - - - --- --
TAEEAt.'j_j. G. ., 1=h.
The M900 mloroammoters ard m!..-I.1 I-volimterao Pribormstroente no.6.#20
-Ta 165. (MM4 1827)

PANOSTAN, A.K.; TARATANI, Sh,Se; ARUTTUNTA3, R.She
Affect of the root system of cereals on the assimilation of nitrogen
(in Armenian with sumAsry in Russian] Mikrobiol.ebor. no,40-12 149.
(MICR04MGANISM, NITROM4IIING) (KIRA M)
(GRAIV)

1. PATIOSYAN, A. K.; MMASYAJI, A. I.; TARAWI, Sh. S.; ARUTMIYAN, R. Sh.
2. USSR (600)
4. Botany - Ecology
7. Problem of interaction of certain crop rotation plants and microorganisms of the
soil, Mikrobiol,abore no* 60 1951,
9. M-onthly Lists of Russian Accessions, Library of Congress, Harch 1953, Unclassified.

T
JJ
A.
v
2. (600)
,jjcrocrgan:X,,5 soil
4. -croorgi,
nero,') t,(~tajAon 31ants O."d
-,o. 6, 1`51
7. -,roblei;s 6f intoraction cf- certai
1. or.
it,_ au.,3~an
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