The monotonicity of the apsidal angle using the theory of potential oscillators
Rojas, David (Universidad de Granada. Departamento de Matemática Aplicada)

Date:	2018
Abstract:	In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the form f(r)∼λr-(α+1) with α< 2 the apsidal angle is a monotonous function of the energy, or equivalently of the orbital eccentricity.
Grants:	Ministerio de Educación y Ciencia MTM2014-52232-P Ministerio de Economía y Competitividad MTM2014-52209-C2-1-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Central force ; Apsidal angle ; Monotonicity ; Period function ; Two-body problem
Published in:	Qualitative theory of dynamical systems, Vol. 17, Issue 3 (October 2018) , p. 631-635, ISSN 1662-3592

DOI: 10.1007/s12346-017-0265-9

Postprint 4 p, 314.0 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles