Abstract
Using the theory of the inverse problem, we construct galactic type potentials based on perturbed harmonic oscillators, producing exact analytic trajectories represented by second-order curves. The various families of orbits are examined in these potentials. It is found, that there are cases where our galactic models produce exact analytic orbits and chaotic orbits as well. The coexistence of analytic and chaotic orbits, happens when the energy of the test particle is close to the energy of escape. Comparison with previous work is also made.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
