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

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CIA-RDP86-00513R001550020019-8
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RIF
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S
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100
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November 2, 2016
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July 13, 2001
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19
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Publication Date: 
December 31, 1967
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SCIENTIFIC ABSTRACT
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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. 1959, jjr 5, om le atiol, e ajel~-eh~~ -194 tae ~,j e ~V iA J'ransl silte -S e OU -ev -!~~ ec 3-93 PP PP Spe 0 'a lo orldiXa I f0rolla 5 t NIJVO" Cale,, 1,958p corresP 'Mauu Coustaxit on (I txie a 115V (. are I'aJOVOIS 'rj'rj;E- -. aa 0110VIS aid to '0e ,,ares 'j C' VI ax e leraty, e as s C I ,red least 1 re X Op 40' cork5i( SVLD ,or0aect c tile Cpjj'. a, Lne 's . X lit ectr are Vi TaM Of- erminela of 7k" Of sop a VEWDI Tile SP C Pla so) t ra.p'~11 ~5 Sipe 'trols .6., ae -,,3:,ies C, teVmjj:,e CTI Pilo-tog + c . txie jvell and, C7k, 1-9 513 010-mate enerallif e imet.,011 - x =9 Wo A-7-1:119 tS X 0' 502Pairs The appr are T, . approy- te ,'haracter COrIstax, Ot some nts. coraecti.0110 ,,ce5s4-,v( 7LIU18. Of "he apprO . t~ae .,y,i,je the 'bs-s4ls aSareme th4's t'aO& .,,rqes 0 01, j~yle rom me Ul me armillir4& Of C method Sari b'Y ti-le j cLet' Taen a. A. are W~'OvM aecel ajr5 tbodL 0 a. j.0U5 re X 5 p me Pose aud 0 own ,pIeT PUT ior var ee 10 ses 86 5 ?or from tbr propo potted On Cal t1jor collstants. O.Tat The au f tne 4's Curve this cur trPe which c I CodL the A-1 0 ~fe Of a Parallel. t1arlsfer of -WI-11 be the "curves Of the famil for, Ord1nateq of the Qry 19in of 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