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  • 1
    Series available for loan
    Series available for loan
    The slingshot ejections in meriging galaxies (1988)
    Turku
    Associated volumes
    Details Availability
    Call number: S 90.0938(139)
    In: Report series
    Type of Medium: Series available for loan
    Pages: 44 S.
    ISBN: 951880205X
    Series Statement: Report series / Department of Physical Sciences, University of Turku 139
    Language: English
    Location: Lower compact magazine
    Branch Library: GFZ Library
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  • 2
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    A practical and regular formulation of the N-body equations (1985)
    Turku : University of Turku
    Associated volumes
    Details Availability
    Call number: O 2429(95)
    In: Report series
    Pages: S. 171-177
    Series Statement: Report series / University of Turku informo no. 94
    Language: English
    Branch Library: GFZ Library
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  • 3
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    Series available for loan
    The effect of total angular momentum on the break up of the three-body system (1986)
    Turku
    Associated volumes
    Details Availability
    Call number: SR 90.0938(99)
    In: Report series
    Type of Medium: Series available for loan
    Pages: 15 S.
    ISBN: 9516427766
    Series Statement: Report series / Department of Physical Sciences, University of Turku 99
    Language: English
    Location: Lower compact magazine
    Branch Library: GFZ Library
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  • 4
    Series available for loan
    Series available for loan
    A chain regularization method for the few-body problem (1990)
    Turku
    Associated volumes
    Details Availability
    Call number: S 90.0938(153)
    In: Report series
    Type of Medium: Series available for loan
    Pages: 16 S.
    ISBN: 9518804605
    Series Statement: Report series / Department of Physical Sciences, University of Turku 153
    Language: English
    Location: Lower compact magazine
    Branch Library: GFZ Library
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  • 5
    Electronic Resource
    Electronic Resource
    Chaos in the one-dimensional gravitational three-body problem (1993)
    Woodbury, NY : American Institute of Physics (AIP)
    Chaos 3 (1993), S. 183-203 
    Details
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: We have investigated the appearance of chaos in the one-dimensional Newtonian gravitational three-body system (three masses on a line with −1/r pairwise potential). In the center of mass coordinates this system has two degrees of freedom and can be conveniently studied using Poincaré sections. We have concentrated in particular on how the behavior changes when the relative masses of the three bodies change. We consider only the physically more interesting case of negative total energy. For two mass choices we have calculated 18 000 full orbits (with initial states on a 100×180 lattice on the Poincaré section) and obtained dwell time distributions. For 105 mass choices we have calculated Poincaré maps for 10×18 starting points. Our results show that the Poincaré section (and hence the phase space) divides into three well defined regions with orbits of different characteristics: (1) There is a region of fast scattering, with a minimum of pairwise collisions. This region consists of ‘scallops' bordering the E=0 line, within a scallop the orbits vary smoothly. The number of the scallops increases as the mass of the central particle decreases. (2) In the chaotic scattering region the interaction times are longer, and both the interaction time and the final state depend sensitively on the starting point on the Poincaré section. For both (1) and (2) the initial and final states consist of a binary + single particle. (3) The third region consists of quasiperiodic orbits where the three masses are bound together forever. At the center of the quasiperiodic region there is a periodic orbit discovered (numerically) by Schubart in 1956. The stability of the Schubart orbit turns out to correlate strongly with the global behavior.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.165984
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  • 6
    Electronic Resource
    Electronic Resource
    On the stability of high inclination Trojans (1995)
    Springer
    Earth, moon and planets 71 (1995), S. 195-198 
    Details
    ISSN: 1573-0794
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Numerical integrations have been performed for orbits of Venus', Earth's and Mars' Trojan-asteroid test particles in a self consistent model of the solar system to study the stability of inclined Trojan orbits. In the case of Mars low inclination orbits tend to be unstable while the contrary seems to apply to Venus and Earth, although the stability of some very high inclination orbits may not be excluded on the basis of these computations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00612957
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  • 7
    Electronic Resource
    Electronic Resource
    An asteroidal companion to the Earth (1997)
    [s.l.] : Macmillan Magazines Ltd.
    Nature 387 (1997), S. 685-686 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Near-Earth asteroids range in size from a few metres to more than 30 km: in addition to playing an important role in past and present impact rates on the Earth, they might one day be exploited as bases for space exploration or as mineral resources. Many near-Earth asteroids move on ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/387685a0
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  • 8
    Electronic Resource
    Electronic Resource
    Dynamical evolution of fragmenting gas clouds (1984)
    Springer
    Astrophysics and space science 104 (1984), S. 297-321 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Previous numerical simulations have shown that under certain conditions rotating gas clouds break up in two equal parts. We explore the consequences, if this process continues and a planar, equal mass four-body system forms. The results of the four-body calculations are used in Monte Carlo simulation of fragmentation of a rotating gas cloud in a galactic nucleus. Then it appears possible that clusters of large numbers of objects form; the dynamical evolution of these clusters have been calculated. The results were applied to ejection of supermassive objects from galactic nuclei. We find that several statistical properties of double radio sources may be understood as resulting from the fragmentation process.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00650305
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  • 9
    Electronic Resource
    Electronic Resource
    A cubic approximation for Kepler's equation (1987)
    Springer
    Celestial mechanics and dynamical astronomy 40 (1987), S. 329-334 
    Details
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We derive a new method to obtain an approximate solution for Kepler's equation. By means of an auxiliary variable it is possible to obtain a starting approximation correct to about three figures. A high order iteration formula then corrects the solution to high precision at once. The method can be used for all orbit types, including hyperbolic. To obtain this solution the trigonometric or hyperbolic functions must be evaluated only once.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01235850
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  • 10
    Electronic Resource
    Electronic Resource
    An implementation ofN-body chain regularization (1993)
    Springer
    Celestial mechanics and dynamical astronomy 57 (1993), S. 439-459 
    Details
    ISSN: 1572-9478
    Keywords: Regularization ; Few-body problem ; KS-regularization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The chain regularization method (Mikkola and Aarseth 1990) for high accuracy computation of particle motions in smallN-body systems has been reformulated. We discuss the transformation formulae, equations of motion and selection of a chain of interparticle vectors such that the critical interactions requiring regularization are included in the chain. The Kustaanheimo-Stiefel (KS) coordinate transformation and a time transformation is used to regularize the dominant terms of the equations of motion. The method has been implemented for an arbitrary number of bodies, with the option of external perturbations. This formulation has been succesfully tested in a generalN-body program for strongly interacting subsystems. An easy to use computer program, written inFortran, is available on request.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00695714
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