We investigate the motion of a massless body interacting with the Maxwell relative equilibrium, which consists of n bodies of equal mass at the vertices of a regular polygon that rotates around a central mass. The massless body has three equilibrium ℤn-orbits from which families of Lyapunov orbits emerge. Numerical continuation of these families using a boundary value formulation is used to construct the bifurcation diagram for the case n = 7, also including some secondary and tertiary bifurcating families. We observe symmetry-breaking bifurcations in this system, as well as certain period-doubling bifurcations.
CITATION STYLE
Calleja, R., Doedel, E., & García-Azpeitia, C. (2016). Symmetry-breaking for a restricted n-body problem in the Maxwell-ring configuration. European Physical Journal: Special Topics, 225(13–14), 2741–2750. https://doi.org/10.1140/epjst/e2016-60009-y
Mendeley helps you to discover research relevant for your work.