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Symmetric motions in the Equatorial Magnetic-Binary Problem

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Abstract

Classical numerical techniques are applied to find families of symmetric periodic orbits in the Equatorial Magnetic-Binary Problem. Stability for each orbit is also studied by means of variational methods. Finally an example in a concrete system is given to verify the procedure proposed.

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References

  1. Poincaré, H.: 1892,Les méthodes nouvelles de la Mécanique Céleste, (Reprinted by Dover, New York, 1957).

  2. Kalvouridis, T., Mavraganis, A., Pangalos, C. and Zagouras, Ch.: 1987, ‘Areas of Equatorial Motion in the Magnetic-Binary Problem’Cel. Mech. 37, 161–170.

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  3. Kalvouridis, T. and Mavraganis, A.: ‘The Equatorial Equilibrium-Configurations of the Magnetic-Binary Problem’,Celest. Mech. 35, 397–408, 1985.

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  4. Mavraganis, A. and Pangalos, C.: ‘La periodicitè et la Symmétrie du Mouvement Equatorial au Problème Magnetic-Binaire’, (To be published inCelest. Mech.).

  5. Mavraganis, A.; 1975, ‘New Types of Motion in Störmer's Problem’,Astrophys Space Sci. 32, 115–138.

    Google Scholar 

  6. Goudas, C.: 1963, ‘Three-Dimensional Periodic Orbits and their Stability’,Icarus. 2, 1–18.

    Google Scholar 

  7. Kazantzis, P. and Goudas, C.: 1975, ‘A Grid-Search for Three-Dimensional Motions and Three New Types of such Motions’,Astrophys. Space Sci.,32, 95–113.

    Google Scholar 

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Kalvouridis, T.J., Mavraganis, A.G. Symmetric motions in the Equatorial Magnetic-Binary Problem. Celestial Mechanics 40, 177–196 (1987). https://doi.org/10.1007/BF01230259

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  • DOI: https://doi.org/10.1007/BF01230259

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