SCIENTIFIC ABSTRACT SHTEYNS, K.A. - SHTEYNTSAG, M.B.

• Document Type: CREST
• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R001550020019-8
• Release Decision: RIF
• Original Classification: S
• Document Page Count: 100
• Document Creation Date: November 2, 2016
• Document Release Date: July 13, 2001
• Sequence Number: 19
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

SHTEYNS, K. A.
Perturbation of the motion of comets by stars. Astron.zhur.
33 no-5:756-76o s-0 '56. (MI-RA 9:12)
1. Astronomichaskaya observatoriya Latviyakogo gosudarstvennogo
univernitata.
(Comets) (Perturbation) (stars)

AUTHOR: Shteyns, K. A.
TITLE: The distribution of comets of Jupiter's Family.
(Raspredeleniye komet gruppy yupitera).
PERIODICAL: Astronomicheskii Zhurnal, 1957, Vol-34, No.1, pp.86-96 (USSR).
ABSTRACT: The existence of short-period coments, the aphelions of
which are situated near Jupiter's orbit, shows the latter
planet plays an important part in the origin of these, and
perhaps also of other short-period comets. The researches
of a number of workers (ref.1) have shown that some properties
of the comets of Jupiter's family suggest that these comet*
originated in a number of long-period comets as a consequence
of capture by Jupiter. The problem is discussed in refs.(l)
(3).
In the present paper the distribution of comets of
Jupiter's family is studied, taking into account the
distribution of orbits of parabolic comets the life-time of
h
t
i
d
t
l
s
or
-per
o
come
s, and the probability o
discovery of short
period comets. The problem is regarded as "plane" in the first

art of the paper. The three dimensional problem is taken up
U
n less detail in the second part).
It is assumed that a stationary swarm of parabolic comets
rotates about the Sun (Refs. (3) and (4) ). The perturbation
due to Jupiter has the effect of turning the parabolic comets
of the swarm into short-period comets. It is considered that
Jupiter moves round the Sun In a circle of radius R. and

The distribution of comets of Jupiter's Family. (Cont.)
possesses a sphere of influence of radius f which is such that
/Ro 1--M_ o. o 6.
Using a generally accepted method, a two dimensional
formula for the distribution of semi-major axes and parameters
of the orbits of the comets captured by Jupiter, is derived.
It is supposed that the probability of discovery of short and
long period comets is the same, as determined empirically.
Observations show that the distribution of perihelions of
lonf~-period comets is proportional to the distance of the
perihelions from the sun.
The influence of the disintegration of comets is investi-
gated following the work of S. V. Orlov (6) and B. Yu. Levin
and the gravitational hypothesis. The results are in a good
agreement with observations. The almost complete absence of
short-period comets with retrograde motions is a result of the
fact that these comets, in most cases, have small perihelion
distances and disintegrate rapidly, or in a lesser degree that
they are transformed from a comparatively small number of long-
period comets, which have small perihelion distances.
2 figures, 3 tables. Dine references, eight of which are
Russian.
Astronomical Observatory of the
Latvian State University. Recd. July 19, 1956.

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88819
S/035/61/000/002/001/016
AOO1/AOOl
Translation from. Referativnyy zhurnal, Astronomiya i Geodeziya, 1961, No. 2,
P-13, # 2A153
AUTHORS: Shteyns, K., Sture, S.
A
TITLE: On One Case of Applicatiop of Matrices to Celestial Mechanics
PERIODICAL: Uch. zap. Latv. un-t, 1959, Vol.--28, pp. 141 - 143 (Iatvian summary)
TEXT: The authors derive equations for conversion of Euler angles relative
to the Earth's symmetry axis to Euler angles relative to the instantaneous rota-
tion axis using matrices-krakowian.s. Oppolzer equations are obtained as a particu-
lar case:
W sin e Id 1P I/dt dp/dt
Cjd 91/dt dq/dt,
dj/dt 0
Card 1/2

88819
S/035/61/000/002/001/016
A001/AO01
On One Case of Application of Matrices to Celestial Mechanics
where W is angular velocity of Earth's rotation,'+, is lunar-solar precession, el
is nutation, (pis angle of intrinsic rotation in Oppolzer sense,
cos sin 0
sin Cos 0
r (_ F) =
0 0 1
N. Yakhontova
Translator's note: This is the full translation of the original Russian abstract.
Card 2/2

SHTHYNS, X.A.; AB-NLIC, H. K.
llxpanaion af the association Cepheus Il (with summary in Inglishl.
Astron. zhur. 35 no.1:82-85 J&-F '58. (MIRA 1193)
1, Antronomichookaya obiservatoriyn latylyakogo gosudaretyennogo
universiteta.
(Cephoids)

Limiting criterion for the capture of comets [with summary in
English.]. Astron. zhur, 35 no.1:159-160 Ja-F 158. (Ml-U 11:3)
1. ikstronomichaskaya observatoriya latviyakogo gasudarstvennogo uni-
veroiteta.
(Gomets--Orbits)

N
AUTHOR: Shteyns,K.A. SOV/37J-36-3-18/29
TITLE. The Distribution of the Jovian Group of Comets
PERIODICAL: Astronomicheskiy zhurnal,1959,Vol 36,Nr 3,PP 512-523 (USSR)
ABSTRACT: At first it is stated thr~t the method for the determination of
the distribution of the Jovian group of comets used by 11.Newton
f-Ref !2 as well as the method of V.G.Fesenkov f-Ref 32 yield
insufficient results. Then the problem of distribution is treated
anew, where the following factors are considered; distribution of
the orbits of parabolic comets, the life-time of short-period
comets, the probability of detection of short-period comets. For
long-period comets it is assumed that the poles of the orbits,
the ascending nodes, and the distances of the perihelions to the
ascending nodes are distributed uniformly on the celestial
sphere, while the perihelions in the space are distributed
uniformly, The calculations carried out under these assumptions
show a good agreement with the observations (independent of the
fact whether the variant of H.Newton or that of Fesenkov is
taken). In both cases there result: a) diminution of the number
of comets for an increasing semiaxis a, b) concentration of the
comets for a maximal Y-p for a-const, c) absence of comets with a
Card 1/2

The Distribution of the Jovian Group of Comets S07133-36-3-18129
retrograd motion and concentration of almost all comets in
00~< i