Asymptotic velocity for four celestial bodies

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autorinnen und Autoren: Knauf A
Zeitschrift: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences
Verlag: Royal Society Publishing
Jahr der Veröffentlichung: 2018
Band: 376
Heftnummer: 2131
ISSN: 1364-503X
Sprache: Englisch


Abstract

Asymptotic
velocity is defined as the Cesàro limit of velocity. As such, its
existence has been proved for bounded interaction potentials. This is
known to be wrong in celestial mechanics with four or more bodies. Here,
we show for a class of pair potentials including the homogeneous ones
of degree −α for α∈(0, 2), that asymptotic velocities exist for up to four bodies, dimension three or larger, for any energy and almost all initial conditions on the energy surface.

This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Knauf, Andreas Prof. Dr.
Lehrstuhl für Mathematik (Mathematische Physik)


Zitierweisen

APA:
Knauf, A. (2018). Asymptotic velocity for four celestial bodies. Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 376(2131). https://dx.doi.org/10.1098/rsta.2017.0426

MLA:
Knauf, Andreas. "Asymptotic velocity for four celestial bodies." Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 376.2131 (2018).

BibTeX: 

Zuletzt aktualisiert 2019-22-01 um 13:50