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Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow/ by Alexander Silbergleit, Arthur Chernin.
Author:	Silbergleit, Alexander.
other author:	Chernin, Arthur.
Description:	VIII, 68 p. 17 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Cosmology. -
Online resource:	https://doi.org/10.1007/978-3-030-36752-7
ISBN:	9783030367527

Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow
Silbergleit, Alexander.

Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow[electronic resource] /by Alexander Silbergleit, Arthur Chernin. - 1st ed. 2019. - VIII, 68 p. 17 illus.online resource. - SpringerBriefs in Physics,2191-5423. - SpringerBriefs in Physics,.

Introduction -- Two-Body Problem with Dark Energy -- Radial Motions: Exact Solution and Its Analysis -- Orbital (Planar) Motions: Exact Solution and Its Analysis -- All Motions: Summary. Locality and Stability of Finite Motions -- Dark Energy and the Local Cosmic Flow -- Concluding Remarks. .

This book derives and analyzes all solutions to the Kepler problem with dark energy (DE), presenting significant results such as: (a) all radial infinite motions obey Hubble’s law at large times; (b) all orbital infinite motions are asymptotically radial and obey Hubble’s law; (c) infinite orbital motions strongly dominate the finite ones. This clearly shows the effect of repulsive DE: In the classical Kepler problem, all orbital motions are finite for negative energies and infinite in the opposite case. Another DE effect is spatial localization of bounded orbits: mostly, they are within the equilibrium sphere, where the attractive Newtonian force outbalances the repulsive force of DE.This problem is of particular current interest due to recent studies of the local flows of galaxies showing domination of DE in their dynamics; the book discusses this observation in detail.

ISBN: 9783030367527

Standard No.: 10.1007/978-3-030-36752-7doiSubjects--Topical Terms:

579761
Cosmology.

LC Class. No.: QB980-991

Dewey Class. No.: 523.1

Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow
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