Русская версия
ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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On the Possibility of Describing Anomalous Gravitational Forces in the Universe from the Perspective of the Fractal-like Nature of the Distribution of Matter in It

Author(s):

Olga Nikolaevna Khatuntseva

Doctor of Physical and Mathematical Sciences,
academic secretary Rocket Space Corporation “Energia” named after S.P.Korolev,
Associate Professor of the Department of Aerophysical Mechanics and Motion Control
Federal State Autonomous Educational Institution of Higher Education "Moscow Institute of Physics and Technology (State University)"

ol-khatun@yandex.ru

Abstract:

At present, there are a lot of papers concerning a description of Universe visible part from the viewpoint of fractal-like geometry and the estimation of its fractal dimension. This research is devoted to the issue of accounting for the fractal-like geometry of the distribution of matter in the Universe on the dynamics of its objects. Herein, the method is offered for the description of gravitation forces action in the system of bodies having a fractal structure. The account of scale at analysis of the movement of a body in the gravitation field of other bodies with fractal-like nature of the distribution may cause such effects that may be considered as the presence of the additional attracting force or additional repulsion. Today, from the point of view of modern science, such effects are considered to be caused by the existence of dark matter and dark energy.

Keywords

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