Numerical Simulation of the Phase Space of Jupiter-Europa System Including the Effect of Oblateness

Authors

Vinay Kumar, University of Delhi
Beena R. Gupta, University of Delhi
Rajiv Aggarwal, University of Delhi

Abstract

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.

Recommended Citation

Kumar, Vinay; Gupta, Beena R.; and Aggarwal, Rajiv (2017). 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, Iss. 1, Article 31.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss1/31