000130495 001__ 130495
000130495 005__ 20240125162931.0
000130495 0247_ $$2doi$$a10.1016/j.amc.2013.10.029
000130495 0248_ $$2sideral$$a83302
000130495 037__ $$aART-2013-83302
000130495 041__ $$aeng
000130495 100__ $$0(orcid)0000-0003-4859-7224$$aTresaco, Eva
000130495 245__ $$aNumerical analysis of periodic solutions and bifurcations in the planetary annulus problem
000130495 260__ $$c2013
000130495 5203_ $$aThis paper discusses the dynamics of particles orbiting planetary rings under a general central potential. Starting with the mathematical description of the dynamical system, we analyze the motion of a particle with infinitesimal mass as attracted by a central body surrounded by a homogeneous circular annular disk. Throughout the paper we carry out an analytic search of the most relevant equilibria solutions and, based on that, we investigate numerically the stability matrix of the system to find stability inequalities. In this way, we describe the in-plane and out-of-plane motion by means of the numerical continuation of a wide number of uni-parametric families of planar and spatial periodic orbits. We present a description of the main families of periodic orbits encountered, their bifurcations and linear stability. With the aim of reproducing a more realistic scenario, we analyse different mass proportions between the annulus and the central body, we consider an oblate planet and we also include a composition of rings in the dynamical model.
000130495 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/AYA2008- 05572
000130495 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000130495 590__ $$a1.6$$b2013
000130495 591__ $$aMATHEMATICS, APPLIED$$b30 / 251 = 0.12$$c2013$$dQ1$$eT1
000130495 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000130495 700__ $$0(orcid)0000-0001-6097-1202$$aRiaguas, Andrés
000130495 700__ $$0(orcid)0000-0001-5208-4494$$aElipe, Antonio$$uUniversidad de Zaragoza
000130495 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000130495 773__ $$g225 (2013), 645-655$$pAppl. math. comput.$$tApplied Mathematics and Computation$$x0096-3003
000130495 8564_ $$s4913428$$uhttps://zaguan.unizar.es/record/130495/files/texto_completo.pdf$$yPostprint
000130495 8564_ $$s2114219$$uhttps://zaguan.unizar.es/record/130495/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000130495 909CO $$ooai:zaguan.unizar.es:130495$$particulos$$pdriver
000130495 951__ $$a2024-01-25-15:15:20
000130495 980__ $$aARTICLE