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Fig. 1
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.
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.
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.
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.
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.
Fig. 7
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.
Fig. 9
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.