Simple Periodic Orbits in Elliptical Galaxies Modelled by Hamiltonians in 1-1-1 Resonance

J. Palacián, P. Yanguas, S. Ferrer
1999 International Astronomical Union Colloquium  
AbstractWe consider elliptical galactic models, whose dynamical system consists of a three-dimensional isotropic harmonic oscillator plus a potential given by a homogeneous polynomial of degree four with an additional discrete symmetry. We identify families of simple periodic orbits by studying the reduced phase space.
doi:10.1017/s0252921100072948 fatcat:l5fnxm5vzfbsjmwcynmdqymd5e