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

Af: Alexander Silbergleit, Arthur Chernin Engelsk Paperback

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

Af: Alexander Silbergleit, Arthur Chernin Engelsk Paperback
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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.

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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.

Produktdetaljer
Sprog: Engelsk
Sider: 68
ISBN-13: 9783030367510
Indbinding: Paperback
Udgave:
ISBN-10: 3030367517
Kategori: Gravitation
Udg. Dato: 12 dec 2019
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 12 dec 2019
Forfatter(e) Alexander Silbergleit, Arthur Chernin


Kategori Gravitation


ISBN-13 9783030367510


Sprog Engelsk


Indbinding Paperback


Sider 68


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 12 dec 2019


Oplagsdato 12 dec 2019


Forlag Springer Nature Switzerland AG

Kategori sammenhænge