Highly eccentric hip―hop solutions of the 2N―body problem

We show the existence of families of hip-hop solutions in the equal-mass 2N-body problem which are close to highly eccentric planar elliptic homographic motions of 2N bodies plus small perpendicular non-harmonic oscillations. By introducing a parameter [epsilon (Porson)], the homographic motion and...

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Bibliographic Details
Published in:	Physica. D Vol. 239; no. 3-4; pp. 214 - 219
Main Authors:	BARRABES, Esther, CORS, Josep M, PINYOL, Conxita, SOLER, Jaume
Format:	Journal Article Publication
Language:	English
Published:	Amsterdam Elsevier 01.02.2010
Subjects:	70 Mechanics of particles and systems 70F Dynamics of a system of particles, including celestial mechanics Classificació AMS Enginyeria mecànica Exact sciences and technology Many-body problem Oscillations Oscil·lacions Physics Problema dels cossos múltiples Àrees temàtiques de la UPC Topological method Fixed point theorem Eccentricity Hip-hop solutions Spatial 2N body problem Periodic solution Hill equation Non linear phenomenon Rotating frame
ISSN:	0167-2789
Online Access:	Get full text
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