https://doi.org/10.1140/epjp/s13360-020-00804-y
Regular Article
Periodic orbits in a three-dimensional galactic potential model via averaging theory
1
Departamento de Matemáticas, UAM-Iztapalapa, 09340, Iztapalapa, Mexico City, Mexico
2
Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile
Received:
5
August
2020
Accepted:
24
September
2020
Published online:
6
October
2020
Using averaging theory, the existence of periodic solutions is established for an axially symmetric galaxy model described by a Hamiltonian endowed with a three-dimensional potential of two Miyamoto disks galaxies rotating around its z-axis.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
