We have numerically investigated the phase space of the Jupiter-Europa system in the framework of a Circular Restricted Three-Body Problem. In our model, Jupiter is taken as oblate primary. We have considered time-frequency analysis (TFA) based on wavelets and the Poincare Surface of Section (PSS) for the characterization of orbits in the Jupiter-Europa model. We have exploited both cases: a system with and without considering the effect of oblateness. Graphs (ridge-plots) explaining the phenomenon of resonance trapping, a difference between chaotic sticky orbit and the non-sticky orbit, and periodic and quasi-periodic orbit are presented. Our results of Poincare surfaces of the section of the Jupiter-Europa system (with and without the effect of oblateness) reveal the impact of oblateness of Jupiter as reducing parameter for regular and chaotic regions. Time-frequency analysis based on wavelets is comparatively fast and is suitable for the identification and characterization of the different type of trajectories in the nonlinear dynamical system.
Kumar, Vinay; Gupta, Beena R.; and Aggarwal, Rajiv
Numerical Simulation of the Phase Space of Jupiter-Europa System Including the Effect of Oblateness,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 12,
1, Article 31.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/31