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[en] This article deals with the analytical investigation of the number and location of equilibrium points, in the planar magnetic-binary problem, by taking into consideration the influence of the parameters which exactly determine the model of such a system. (orig.)
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Letter to the editor.
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Journal Article
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Astrophysics and Space Science; ISSN 0004-640X;
; v. 70(1); p. 233-237

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[en] A cluster expansion for the bound state of nuclei is proposed. In such expansion the nucleus is considered as composed of N distinguishable clusters interacting with each other by pairwise potentials (C.P.)
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[en] Outgoing asymptotic orbits at a collinear equilibrium point of the elliptic restricted three-body problem are constructed analytically and numerically, and those which intersect perpendicularly the axis of symmetry are selected by means of a numerical procedure of differential corrections. Due to the symmetry properties of the problem, the latter orbits terminate asymptotically back to the equilibrium point, and therefore provide a kind of 'asymptotic trapping' at the unstable equilibrium; a trapping mechanism based on 'long duration of passage' rather than stability of motion. (Auth.)
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Markellos, V.V. (Patras Univ. (Greece)); Kozai, Y. (Tokyo Univ., Mitaka (Japan). Tokyo Astronomical Observatory) (eds.); Astrophysics and Space Science Library; v. 106; 424 p; ISBN 90-277-1650-1;
; 1983; p. 339-350; D. Reidel; Dordrecht (Netherlands); 74. Colloquium of the International Astronomical Union on dynamical trapping and evolution in the solar system; Gerakini (Greece); 30 Aug - 2 Sep 1982

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[en] The aim of this paper is the detection of three-dimensional asymmetric periodic orbits. An iterative procedure is described for the determination of the bifurcations of families of plane asymmetric periodic solutions of the restricted three-body problem with such of three-dimensional ones. It is applied to the two previously established bifurcations of this type. For each of them a 'bifurcation series' is obtained covering the entire range of the mass parameter of the problem. The stability of these bifurcation orbits is examined and it is found that in each case there are two subintervals of the range of the mass parameter for which these orbits are stable, one of them containing cases of astronomical interest. Typical three-dimensional asymmetric periodic orbits of the bifurcating families are also given. (author)
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Journal Article
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Monthly Notices of the Royal Astronomical Society; v. 180(1); p. 103-116
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No abstract available
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(c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
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Fujiwara, Toshiaki; Fukuda, Hiroshi; Taniguchi, Tetsuya; Ozaki, Hiroshi, E-mail: fujiwara@kitasato-u.ac.jp, E-mail: fukuda@kitasato-u.ac.jp, E-mail: ozaki@tokai-u.jp, E-mail: tetsuya@kitasato-u.ac.jp2012
AbstractAbstract
[en] Saari’s homographic conjecture in an N-body problem under the Newton gravity is as follows. Configurational measure , which is the product of the square root of the moment of inertia I = (∑mk)−1∑mimjr2ij and the potential function U = ∑mimj/rij, is constant if and only if the motion is homographic. Where mk represents the mass of the body k and rij represents the distance between bodies i and j. We prove this conjecture for the planar equal-mass three-body problem. In this work, we use three sets of shape variables. In the first step, we use ζ = 3q3/(2(q2 − q1)), where represents the position of the body k. Using r1 = r23/r12 and r2 = r31/r12 in the intermediate step, we finally use μ itself and ρ = I3/2/(r12r23r31). The shape variables μ and ρ make our proof simple. (paper)
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Available from http://dx.doi.org/10.1088/1751-8113/45/34/345202; Country of input: International Atomic Energy Agency (IAEA)
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Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121;
; v. 45(34); [10 p.]

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[en] The use of spherical functions in dynamical problems is very common. As a rule, they arise in perturbing functions. It is well known that passing from one reference frame to another is accompanied by a double transformation of the perturbation function. That is why problems lose their simplicity and elegance. The problem of two solid bodies is a typical example in this respect. In the present paper the questions connected with the transformation of the spherical functions when passing from one reference frame to another frame are considered. Traditional functions are generally unsuitable as they introduce a series of difficulties in the problems. That is why complex spherical functions are used. The transformation of spherical functions due to rotation of the coordinate frame is made by means of the Wigner's functions. When translating the frame the Clebsch-Gordon's coefficients are used. (Auth.)
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Gaposchkin, E.M. (Smithsonian Astrophysical Observatory, Cambridge, MA (USA)); Kolaczek, B. (Polska Akademia Nauk, Warsaw) (eds.); Astrophysics and space science library; v. 86; 400 p; ISBN 90-277-1260-3;
; 1981; p. 255-259; D. Reidel; Dordrecht, Netherlands; 56. Colloquium of the International Astronomical Union; Warsaw, Poland; 8 - 12 Sep 1980

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No abstract available
Original Title
Stokhasticheskij metod optimizatsii bazisa dlya variatsionnykh raschetov mnogochastichnykh sistem
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25. annual conference on nuclear spectroscopy and nuclear structure; Leningrad, USSR; 28 Jan 1975; For English translation see the journal Bull. Acad. Sci. USSR, Phys. Sci.
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Izvestiya Akademii Nauk SSSR, Seriya Fizicheskaya; v. 39(3); p. 535-542
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Kosinov, G.A.; Lagutin, I.G.; Lyubinskij, N.N.; Nemets, O.F.
Program and abstracts of 24. conference on nuclear spectroscopy and nuclear structure, Kharkov, 29 January - 1 February 19741974
Program and abstracts of 24. conference on nuclear spectroscopy and nuclear structure, Kharkov, 29 January - 1 February 19741974
AbstractAbstract
No abstract available
Original Title
Impul'snye diagrammy trekhchastichnykh yadernykh reaktsij
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Source
AN SSSR, Moscow; Gosudarstvennyj Komitet po Ispol'zovaniyu Atomnoj Ehnergii SSSR, Moscow; p. 304-305; 1974; 24. conference on nuclear spectroscopy and nuclear structure; Kharkov, Ukrainian SSR; 29 Jan 1974; Published in summary form only.
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Report
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No abstract available
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Conferences on nuclear physics - particle physics; Karlsruhe, Germany, F.R; 22 - 27 Mar 1982; Published in summary form only.
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Verhandlungen der Deutschen Physikalischen Gesellschaft; ISSN 0420-0195;
; v. 17(6); p. 1214-1215

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