<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The study of motion of a test mass in the vicinity of an equilibrium point under the frame of restricted three body problem (RTBP) plays an important role in the trajectory design for different space missions. In this paper, motion of an infinitesimal mass has been described under the frame of Jupiter-Europa system with oblateness. At first, we have determined equilibrium points and then performed linear stability tests under the influence of oblateness of both the primaries. We found that due to oblateness, a considerable deviation in the existing results has occurred. Next, we have computed tadpole and horseshoe orbits in the neighbourhood of triangular equilibrium points and then the oblateness effect is recorded on these orbits. Finally, the evolution of orbits of infinitesimal mass about triangular equilibrium points have been estimated by using Poincaré surface of section technique and it is noticed that in presence of oblateness, quasi-periodic orbit dominates over the chaotic zones. These results will help in further study of more generalised models with perturbations.</p>
</abstract>

The study of motion of a test mass in the vicinity of an equilibrium point under the frame of restricted three body problem (RTBP) plays an important role in the trajectory design for different space missions. In this paper, motion of an infinitesimal mass has been described under the frame of Jupiter-Europa system with oblateness. At first, we have determined equilibrium points and then performed linear stability tests under the influence of oblateness of both the primaries. We found that due to oblateness, a considerable deviation in the existing results has occurred. Next, we have computed tadpole and horseshoe orbits in the neighbourhood of triangular equilibrium points and then the oblateness effect is recorded on these orbits. Finally, the evolution of orbits of infinitesimal mass about triangular equilibrium points have been estimated by using Poincaré surface of section technique and it is noticed that in presence of oblateness, quasi-periodic orbit dominates over the chaotic zones. These results will help in further study of more generalised models with perturbations.

Motion about equilibrium points in the Jupiter-Europa system with oblateness

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Motion about equilibrium points in the Jupiter-Europa system with oblateness"}

The study of motion of a test mass in the vicinity of an equilibrium point under the frame of restricted three body problem (RTBP) plays an important role in...

Motion about equilibrium points in the Jupiter-Europa system with oblateness

Published Online: Apr 15, 2022

Page range: 2075 - 2090

Received: Sep 14, 2020

Accepted: Jun 01, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00124

Keywords
Jupiter-Europa system, Oblateness, Equilibrium point, Linear stability test, Tadpole and horseshoe orbits, Poincaré surface of section

© 2023 Saleem Yousuf et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Motion about equilibrium points in the Jupiter-Europa system with oblateness

Published Online: Apr 15, 2022

Page range: 2075 - 2090

Received: Sep 14, 2020

Accepted: Jun 01, 2021

DOI: https://doi.org/10.2478/amns.2021.2.00124

KeywordsJupiter-Europa system, Oblateness, Equilibrium point, Linear stability test, Tadpole and horseshoe orbits, Poincaré surface of section

© 2023 Saleem Yousuf et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Jupiter-Europa system, Oblateness, Equilibrium point, Linear stability test, Tadpole and horseshoe orbits, Poincaré surface of section