Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow
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Beschreibung
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.
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.
Presents a comprehensive analysis of all Kepler motions in the presence of dark energy Discusses in detail recent research on the role of dark energy in the local galactic flow dynamics Provides a detailed, clear, and consistent exposition of the topic
Autor*in
Alexander Silbergleit
Themen in »Kepler Problem in the Presence of Dark Energy, and the Cosmic Local Flow«
Kepler's problem Effects of Dark Energy Dark Energy and Hubble Law Repulsive Dark Energy Local flow of galaxies Galaxy flow and dark energy