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OverviewThis 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. Full Product DetailsAuthor: Alexander Silbergleit , Arthur CherninPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2019 Weight: 0.454kg ISBN: 9783030367510ISBN 10: 3030367517 Pages: 68 Publication Date: 12 December 2019 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- 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.ReviewsAuthor InformationA.S. Silbergleit is an expert in mathematical and theoretical physics and author of over 160 papers and three books. His official biography can be found in “Who’s Who In America”. A.D. Chernin's work focuses on theoretical physics and cosmology. He is a professor at Moscow State University's Sternberg Astronomical Institute and has authored over 275 papers and about a dozen books. Tab Content 6Author Website:Countries AvailableAll regions |