Abstract
In this problem of the restricted (2 + 2) bodies we have considered two magnetic dipoles of masses M 1 and M 2(M 1 > M 2) moving in circular Keplarian orbit about their centre of mass. Two minor bodies of masses m 1, m 2(m j< M 2) are taken as electric dipoles in the field of rotating magnetic dipoles. These minor bodies interact with each other but do not perturb the primaries.
We have found equations of motions which differ from that of Goudas and Petsagouraki's (1985).
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References
Goudas, C.L., Petsagouraki's, E.G.: I985, Motion in the magnetic field of two revolving dipoles. Stability of the solar system and its minor natural and artificial bodies, D. Reidel Publishing Company, 344–364.
Kalvouridis, T., Mavraganis, A.: 1985, The equatorial equilibrium configuration of the magnetic binary problem, Celest. Mech. 35, 397–408.
Whipple, A.L.: 1984, Equilibrium solutions of the restricted problem of (2 + 2) bodies, Celest.Mech. 33, 271–294.
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Prasad, A., Ishwar, B. Equations of motion of the restricted problem of (2 + 2) bodies when primaries are magnetic dipoles and minor bodies are taken as electric dipoles. Celestial Mech Dyn Astr 64, 305–312 (1996). https://doi.org/10.1007/BF00054550
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DOI: https://doi.org/10.1007/BF00054550