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Highly eccentric hip-hop solutions of the 2N-body problem
dc.contributor.author | Barrabés Vera, Esther |
dc.contributor.author | Cors Iglesias, Josep Maria |
dc.contributor.author | Pinyol Pérez, Conxita |
dc.contributor.author | Soler Villanueva, Jaume |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2010-06-25T09:57:42Z |
dc.date.available | 2010-06-25T09:57:42Z |
dc.date.created | 2010-02 |
dc.date.issued | 2010-02 |
dc.identifier.citation | Barrabés, E. [et al.]. Highly eccentric hip-hop solutions of the 2N-body problem. "Physica. D, Nonlinear phenomena", 2010, vol. 239, núm. 3-4, p. 214-219. |
dc.identifier.issn | 0167-2789 |
dc.identifier.uri | http://hdl.handle.net/2117/7830 |
dc.description.abstract | 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 Є, the homographic motion and the small amplitude oscillations can be uncoupled into a purely Keplerian homographic motion of fixed period and a vertical oscillation described by a Hill type equation. Small changes in the eccentricity induce large variations in the period of the perpendicular oscillation and give rise, via a Bolzano argument, to resonant periodic solutions of the uncoupled system in a rotating frame. For small Є ≠ 0, the topological transversality persists and Brouwer's fixed point theorem shows the existence of this kind of solutions in the full system. |
dc.format.extent | 6 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Enginyeria mecànica |
dc.subject.lcsh | Many-body problem |
dc.subject.lcsh | Oscillations |
dc.title | Highly eccentric hip-hop solutions of the 2N-body problem |
dc.type | Article |
dc.subject.lemac | Problema dels cossos múltiples |
dc.subject.lemac | Oscil·lacions |
dc.identifier.doi | 10.1016/j.physd.2009.10.019 |
dc.subject.ams | Classificació AMS::70 Mechanics of particles and systems::70F Dynamics of a system of particles, including celestial mechanics |
dc.relation.publisherversion | http://www.maia.ub.es/dsg/2009/0901barrabes.pdf |
dc.rights.access | Open Access |
local.identifier.drac | 2175914 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Barrabés, E.; Cors, J.; Pinyol, C.; Soler, J. |
local.citation.publicationName | Physica. D, Nonlinear phenomena |
local.citation.volume | 239 |
local.citation.number | 3-4 |
local.citation.startingPage | 214 |
local.citation.endingPage | 219 |
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