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  • 1
    Electronic Resource
    Electronic Resource
    Computer simulations of star cluster dynamics
    Amsterdam : Elsevier
    Vistas in Astronomy 15 (1973), S. 13-37 
    Details
    ISSN: 0083-6656
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0083-6656(73)90003-2
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  • 2
    Electronic Resource
    Electronic Resource
    Computer Simulations of Stellar Systems (1975)
    Palo Alto, Calif. : Annual Reviews
    Annual Review of Astronomy and Astrophysics 13 (1975), S. 1-21 
    Details
    ISSN: 0066-4146
    Source: Annual Reviews Electronic Back Volume Collection 1932-2001ff
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1146/annurev.aa.13.090175.000245
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  • 3
    Electronic Resource
    Electronic Resource
    Third Integral of Motion for High-velocity Stars (1966)
    [s.l.] : Nature Publishing Group
    Nature 212 (1966), S. 57-58 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Orbits originating at the centre of an axially symmetric mass distribution will be confined to the meridional plane defined by the initial velocity vector; thus it will suffice to follow the motion in two variables, TT and z, respectively, for the radial co-ordinate and the height above the plane ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/212057a0
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  • 4
    Electronic Resource
    Electronic Resource
    Blood groups and genetic serum types in diabetes mellitus (1967)
    Springer
    Diabetologia 3 (1967), S. 30-34 
    Details
    ISSN: 1432-0428
    Keywords: Diabetes mellitus ; blood groups ; serum types ; genetics ; association ; Rh system
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Résumé La question d'une association possible entre le diabète sucré, les groupes sanguins et les types génétiques du sérum a été étudiée. 190 patients atteints de diabète ont été examinés pour des caractéristiques génétiques des érythrocytes et des protéines du sérum avec comparaison des résultats avec des personnes de contrôle. Une association entre le diabète et le système ABO, rapportée dans la littérature antérieure, n'a pas été trouvée. Les résultats pour les systèmes Rh, Hp et Gm qui pourraient indiquer une association avec le diabète ont été interprétés avec précaution. Aucune association ne se trouvait pour les systèmes MN, Kell, Gc, Ld, Lp ou Ag.
    Abstract: Zusammenfassung Es wird eine Untersuchungsreihe über den möglichen Zusammenhang zwischen Diabetes mellitus, Blutgruppen und genetischen Serumtypen vorgelegt. 190 Patienten mit Diabetes mellitus wurden im Hinblick auf verschiedene genetische Erythrocyten- und Serumeiweißkennzeichen untersucht und mit einer normalen Kontrollgruppe verglichen. Bin Zusammenhang zwischen Diabetes mellitus und dem ABO-System, wie dies in der früheren Literatur berichtet wurde, ließ sich nicht feststellen. Obgleich die Ergebnisse in den Rh-, Hp- und Gm-Systemen eine Beziehung zum Diabetes mellitus aufzeigten, wurden diese Befunde mit Vorsicht interpretiert. Keine Beziehung wurde für die MN-, Kell-, Gc-, Ld-, Lp-oder Ag-Systeme gefunden.
    Notes: Summary An investigation of possible association between diabetes mellitus and blood groups and genetic serum types has been performed. 190 patients with diabetes mellitus were tested for several genetic erythrocyte and serum protein markers, and compared with healthy controls. An association between diabetes mellitus and the ABO system, as reported in earlier literature, was not found. Although the results in the Rh, Hp and Gm systems indicated an association with diabetes mellitus, these findings have been interpreted with caution. No association was found for the MN, Kell, Gc, Ld, Lp or Ag systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01269908
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  • 5
    Electronic Resource
    Electronic Resource
    Third Meeting of the Scandinavian Society for the Study of Diabetes Oslo, February 2–4, 1967 Abstracts (1967)
    Springer
    Diabetologia 3 (1967), S. 533-539 
    Details
    ISSN: 1432-0428
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01213573
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  • 6
    Electronic Resource
    Electronic Resource
    A regularization of the three-body problem (1974)
    Springer
    Celestial mechanics and dynamical astronomy 10 (1974), S. 185-205 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Letr 1,r 2,r 3 be arbitrary coordinates of the non-zero interacting mass-pointsm 1,m 2,m 3 and define the distancesR 1=|r 1−r 3|,R 2=|r 2−r 3|,R=|r 1−r 2|. An eight-dimensional regularization of the general three-body problem is given which is based on Kustaanheimo-Stiefel regularization of a single binary and possesses the properties: (i) The equations of motion are regular for the two-body collisionsR 1→0 orR 2→0. (ii) Provided thatR≳R 1 orR≳R 2, the equations of motion are numerically well behaved for close triple encounters. Although the requirementR≳ min (R 1,R 2) may involve occasional transformations to physical variables in order to re-label the particles, all integrations are performed in regularized variables. Numerical comparisons with the standard Kustaanheimo-Stiefel regularization show that the new method gives improved accuracy per integration step at no extra computing time for a variety of examples. In addition, time reversal tests indicate that critical triple encounters may now be studied with confidence. The Hamiltonian formulation has been generalized to include the case of perturbed three-body motions and it is anticipated that this procedure will lead to further improvements ofN-body calculations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01227619
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  • 7
    Electronic Resource
    Electronic Resource
    Global chaoticity in the Pythagorean three-body problem (1994)
    Springer
    Celestial mechanics and dynamical astronomy 58 (1994), S. 1-16 
    Details
    ISSN: 1572-9478
    Keywords: Three-body problem ; chaotic motions ; regularization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The effects of small changes in the initial conditions of the Pythagorean three-body problem are investigated by computer simulations. This problem consists of three interacting bodies with masses 3, 4 and 5 placed with zero velocities at the apices of a triangle with sides 3, 4 and 5. The final outcome of this motion is that two bodies form a binary and the third body escapes. We attempt to establish regions of the initial positions which give regular and chaotic motions. The vicinity of a small neighbourhood around the standard initial position of each body defines a regular region. Other regular regions also exist. Inside these regions the parameters of the triple systems describing the final outcome change continuously with the initial positions. Outside the regular regions the variations of the parameters are abrupt when the initial conditions change smoothly. Escape takes place after a close triple approach which is very sensitive to the initial conditions. Time-reversed solutions are employed to ensure reliable numerical results and distinguish between predictable and non-predictable motions. Close triple approaches often result in non-predictability, even when using regularization; this introduces fundamental difficulties in establishing chaotic regions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00692114
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  • 8
    Electronic Resource
    Electronic Resource
    Initial conditions and dynamics of triple systems (1994)
    Springer
    Celestial mechanics and dynamical astronomy 60 (1994), S. 365-372 
    Details
    ISSN: 1572-9478
    Keywords: Three-body problem ; computer simulations ; dynamics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The dynamical evolution of triple systems with equal-mass components and zero initial velocities is studied. We consider two regions of initial conditions: a regionD of all possible configurations of triples and a circleR. The configurations are distributed uniformly within these regions. The calculations have been carried out until a time when escape or ‘conditional’ escape (i.e. distant ejection) of one component takes place. The accuracy has been checked by doing time-reversed integration. Types of ‘predictable’ and ‘non-predictable’ systems are revealed. Averages for a number of evolution parameters are presented: the life-time, minimum perimeter during the last triple approach resulting in escape, semi-major axis and eccentricity of the final binary, and the smallest separation between the components during the evolution. It is shown that the statistical results for the regionsD andR do not differ significantly for the most part. Our results, which have been obtaned by a three-body regularization method, are in good agreement with previous work based on the RK4 integrator and Sundman's time smoothing.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00691902
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  • 9
    Electronic Resource
    Electronic Resource
    Numerical experiments on theN-body problem (1971)
    Springer
    Astrophysics and space science 14 (1971), S. 20-34 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This review first discusses the different types of numerical methods available for integrating the equations of motion ofN-body systems. It is desirable to supplement ordinary integration schemes with special treatments of close encounters using a two-body perturbation description or introducing regularizing transformations of the co-ordinates and time. Direct methods are at present limited to the study of a few hundred particles but larger systems may be investigated using Monte Carlo techniques or the Boltzmann moment equations. N-body computations have been performed for a whole range of initial conditions and the general results are summarized. Numerical investigations have already clarified a number of important aspects of cluster evolution and the qualitative behaviour of small stellar systems is now quite well understood. Recent theoretical modifications have reduced the disagreement with experiments but further improvements are still needed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00649191
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  • 10
    Electronic Resource
    Electronic Resource
    Direct integration methods of theN-body problem (1971)
    Springer
    Astrophysics and space science 14 (1971), S. 118-132 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A fourth-order polynomial method for the integration ofN-body systems is described in detail together with the computational algorithm. Most particles are treated efficiently by an individual time-step scheme but the calculation of close encounters and persistent binary orbits is rather time-consuming and is best performed by special techniques. A discussion is given of the Kustaanheimo-Stiefel regularization procedure which is used to integrate dominant two-body encounters as well as close binaries. Suitable decision-making parameters are introduced and a simple method is developed for regularizing an arbitrary number of simultaneous two-body encounters.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00649199
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