Some Dynamic Aspects of a Sextic Galactic Potential in a Rotating Reference Frame

This work aims to explore some dynamic aspects of the problem star motion that is impacted by rotation galaxy, which we model as a bisymmetric potential based on two-dimensional harmonic oscillator with sextic perturbations. We demonstrate analytically non-integrable when certain conditions are met. The analytical results for non-integrability confirmed showing irregularity behavior through utilizing Poincaré surface section numerical method. equilibrium positions detected, and their stability discussed. show force generated rotating frame acts stabilizer maximum points. display graphically size regions relies angular velocity magnitude frame. Through application Lyapunov’s theorem, periodic solutions can be constructed close positions. Furthermore, there one or two families relying whether point saddle stable, respectively.