130527 20240125162931.0 doi 10.1007/s10509-011-0925-1 sideral 75677 ART-2012-75677 eng Tresaco, E. (orcid)0000-0003-4859-7224 Computation of families of periodic orbits and bifurcations around a massive annulus 2012 This paper studies the main features of the dynamics around a planar annular disk. It is addressed an appropriated closed expression of the gravitational potential of a massive disk, which overcomes the difficulties found in previous works in this matter concerning its numerical treatment. This allows us to define the differential equations of motion that describes the motion of a massless particle orbiting the annulus. We describe the computation methods proposed for the continuation of uni-parametric families of periodic orbits, these algorithms have been applied to analyze the dynamics around a massive annulus by means of a description of the main families of periodic orbits found, their bifurcations and linear stability. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/MINECO/AYA2008- 05572 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.064 2012 ASTRONOMY & ASTROPHYSICS 26 / 56 = 0.464 2012 Q2 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Elipe, A. Universidad de Zaragoza (orcid)0000-0001-5208-4494 Riaguas, A. (orcid)0000-0001-6097-1202 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 338, 1 (2012), 23-33 Astrophys. space sci. ASTROPHYSICS AND SPACE SCIENCE 0004-640X 4784178 http://zaguan.unizar.es/record/130527/files/texto_completo.pdf Postprint 2184284 http://zaguan.unizar.es/record/130527/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130527 articulos driver 2024-01-25-15:17:31 ARTICLE