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Kepler problem in the presence of da...

Chernin, Arthur.

Kepler problem in the presence of dark energy, and the cosmic local flow

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kepler problem in the presence of dark energy, and the cosmic local flowby Alexander Silbergleit, Arthur Chernin.
Author:	Silbergleit, Alexander.
other author:	Chernin, Arthur.
Published:	Cham :Springer International Publishing :2019.
Description:	viii, 68 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Dark energy (Astronomy)Congresses.
Online resource:	https://doi.org/10.1007/978-3-030-36752-7
ISBN:	9783030367527$q(electronic bk.)

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. - Cham :Springer International Publishing :2019. - viii, 68 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

451535
Dark energy (Astronomy)
--Congresses.

LC Class. No.: QB791.3 / .S55 2019

Dewey Class. No.: 523.1126

Kepler problem in the presence of dark energy, and the cosmic local flow
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100 1 $a Silbergleit, Alexander. $3 855845
245 1 0 $a Kepler problem in the presence of dark energy, and the cosmic local flow $h [electronic resource] / $c by Alexander Silbergleit, Arthur Chernin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a viii, 68 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5423
505 0 $a 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.
520 $a 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.
650 0 $a Dark energy (Astronomy) $v Congresses. $3 451535
650 0 $a Kepler's equation. $3 855847
650 1 4 $a Cosmology. $3 228629
650 2 4 $a Classical and Quantum Gravitation, Relativity Theory. $3 376367
700 1 $a Chernin, Arthur. $3 855846
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a SpringerBriefs in physics. $3 557827
856 4 0 $u https://doi.org/10.1007/978-3-030-36752-7
950 $a Physics and Astronomy (Springer-11651)