Open Access

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

Saleem Yousuf

Saleem Yousuf

Department of Mathematics, Central University of RajasthanIndia
Search for this author on
Sciendo|Google Scholar
Yousuf, Saleem
, 
Ram Kishor

Ram Kishor

Department of Mathematics, Central University of RajasthanIndia
Search for this author on
Sciendo|Google Scholar
Kishor, Ram
 and 
Manoj Kumar

Manoj Kumar

Department of Mathematics, Central University of RajasthanIndia
Search for this author on
Sciendo|Google Scholar
Kumar, Manoj
  
Apr 15, 2022
Motion about equilibrium points in the Jupiter-Europa system with oblateness's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
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
© 2023 Saleem Yousuf et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Configuration of the restricted three body problem.
Configuration of the restricted three body problem.

Fig. 2

Characteristic roots at A21 = 0.000285, A22 = 0.007198 in Jupiter-Europa system. Dashed lines represents imaginary roots and bold lines represents real roots.
Characteristic roots at A21 = 0.000285, A22 = 0.007198 in Jupiter-Europa system. Dashed lines represents imaginary roots and bold lines represents real roots.

Fig. 3

Characteristic roots for μ = 0.01 in Jupiter-Europa system at (a) A21 = 0.18436 and (b) A22 = 0.05459. Dashed lines represents imaginary roots and bold lines represents real roots.
Characteristic roots for μ = 0.01 in Jupiter-Europa system at (a) A21 = 0.18436 and (b) A22 = 0.05459. Dashed lines represents imaginary roots and bold lines represents real roots.

Fig. 4

The perturbed solution α(t), β (t) about the L4 point at A21 = 0.000285 and A22 = 0.007198 for time period T ≈ 57.12.
The perturbed solution α(t), β (t) about the L4 point at A21 = 0.000285 and A22 = 0.007198 for time period T ≈ 57.12.

Fig. 5

Tadpole orbit in Jupiter (J) - Europa (E) system for k = 0.0001 at (a) A21 = 0 = A22 (b) A21 = 0.0285, A22 = 0 (c) A21 = 0, A22 = 0.0007189 and (d) A21 = 0.0285, A22 = 0.0007189.
Tadpole orbit in Jupiter (J) - Europa (E) system for k = 0.0001 at (a) A21 = 0 = A22 (b) A21 = 0.0285, A22 = 0 (c) A21 = 0, A22 = 0.0007189 and (d) A21 = 0.0285, A22 = 0.0007189.

Fig. 6

Horseshoe orbit in Jupiter (J) - Europa (E) system for k = 0.005 at (a) A21 = 0 = A22 (b) A21 = 0.00285, A22 = 0 (c) A21 = 0, A22 = 0.0007189 and (d) A21 = 0.00285, A22 = 0.0007189.
Horseshoe orbit in Jupiter (J) - Europa (E) system for k = 0.005 at (a) A21 = 0 = A22 (b) A21 = 0.00285, A22 = 0 (c) A21 = 0, A22 = 0.0007189 and (d) A21 = 0.00285, A22 = 0.0007189.

Fig. 7

Poincaré surfaces of section at different mass ratio μ.
Poincaré surfaces of section at different mass ratio μ.

Fig. 8

Variation in Poincaré surfaces of section for μ = 0.001 at different values of Cj.
Variation in Poincaré surfaces of section for μ = 0.001 at different values of Cj.

Fig. 9

Poincaré surfaces of section for μ = 0.001, Cj = 2.85 with the variation in the oblateness A21.
Poincaré surfaces of section for μ = 0.001, Cj = 2.85 with the variation in the oblateness A21.

Fig. 10

Effect of oblateness A22 on Poincaré surfaces of section with μ = 0.001, Cj = 2.85.
Effect of oblateness A22 on Poincaré surfaces of section with μ = 0.001, Cj = 2.85.
Language:
English
Publication timeframe:
1 times per year
Journal Subjects:
Life Sciences, Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics, Physics, other
Journal RSS Feed