Non-linear stability of L 4 in the restricted problem when the primaries are finite straight segments under resonances

Author:

Jain Ruchika,Sinha Deepa

Publisher

Springer Science and Business Media LLC

Subject

Space and Planetary Science,Astronomy and Astrophysics

Reference23 articles.

1. Aggarwal, R., Taqvi, Z.A., Ahmad, I.: Non-linear stability of L 4 in the restricted three-body problem for radiated axes symmetric primaries with resonances. Bull. Astron. Soc. India 34(4), 327–356 (2006)

2. Arnold, V.I.: The stability of position of equilibrium of a Hamiltonian system of ordinary differential equation in the general elliptic case. Dokl. Akad. Nauk SSSR 137, 255–257 (1961)

3. Arribas, M., Elipe, A.: Non-integrability of the motion of a particle around a massive straight segment. Phys. Lett. A 281(2–3), 142–148 (2001)

4. Bhatnagar, K.B., Hallan, P.P.: The effect of perturbation in Coriolis and centrifugal forces on the non-linear stability of equilibrium points in the restricted problem of three bodies. Celest. Mech. 30(1), 97–114 (1983)

5. Birkhoff, G.D.: Dynamical Systems, New York (1927)

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