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    Comparison of General Relativistic and Pseudo-Newtonian Description of Magellanic-Clouds Motion in the Field of Milky way

    Zdeněk Stuchlík · 01 dubna, 2012 · Fyzika · 0 comments
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    Publication date: Apr 2012

    Abstract:
    We test precision of the Cosmological Paczynski-Wiita (CPW) potential
    reflecting properties of the Schwarzschild-de Sitter (SdS) spacetimes in
    modeling dynamical phenomena related to galaxy motion. We consider a
    simplified model of Magellanic Clouds moving in the field of Milky Way
    as test particles. Time evolution of their position along trajectories
    obtained in the CPW framework using the notion of Newtonian time is
    compared to the one obtained in the fully general relativistic (GR)
    approach when the time evolution is expressed in terms of time related
    to the location of Earth in the Galaxy field. The differences in the
    position-evolution of the Magellanic Clouds obtained in the CPW and GR
    approaches are given for appropriately chosen values of the Milky Way
    mass. It is shown that the integrated relativistic corrections represent
    10-5 part of the Newtonian CPW predictions for the orbital
    characteristics of the motion and slightly grow with Galaxy mass
    growing, being at least by one order higher than the local scaling GR
    corrections. The integrated orbital GR corrections thus could be
    important only in very precise modeling of the motion of Magellanic
    Clouds. The CPW framework is used to show that, quite surprisingly, the
    influence of the cosmological constant on the Magellanic Clouds motion
    can be strong and significantly alters the trajectories of Magellanic
    Clouds and time evolution along them. The relative contribution of the
    cosmological constant is 10-1 or higher. It is most
    profoundly demonstrated by the increase of the binding mass that
    represents 22% for Small Magellanic Cloud and even 47% for Large
    Magellanic Cloud, putting serious doubts on gravitational binding to the
    Milky Way in the later case.

    Authors:
    Stuchlík, Zdeněk; Schee, Jan;

    http://adsabs.harvard.edu/abs/2012IJMPD..2150031S

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