Home > Articles > Published articles > Analytical and numerical results on families of n-Ejection-collision orbits in the RTBP |
Date: | 2020 |
Abstract: | In the planar RTBP with mass ratio μ we regularise the singularity at one of the primaries by means of Levi-Civita's transformation in a rotating frame. We solve the variational equations in a neighbourhood of the ejection/collision orbits, giving analytic expressions for the first terms in μ of the convergent expansion for orbits with eccentricity e ≃ 1. For high enough values of the Jacobi constant C we give analytic expressions for the coefficients of the above expansion in powers of the small parameter 1/√C and we prove the existence of four families of the so called n-ejection-collision (EC) orbits, that are orbits which eject from the primary and reach n relative maxima in the distance with the primary before finally colliding with it. Moreover, massive numerical explorations extending the analytical result for any value of the mass ratio and bigger ranges of C are also shown and discussed. |
Grants: | Ministerio de Economía y Competitividad PGC2018-100928-B-100 Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1049 |
Rights: | Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Ejection ; Collision ; Regularisation ; Manifold |
Published in: | Communications in nonlinear science and numerical simulation, Vol. 90 (November 2020) , art. 105294, ISSN 1007-5704 |
Postprint 37 p, 1.2 MB |