Abstract
Studying the general kinetic behaviour of a charged particle in the space of three celestial bodies electromagnetic field we give here for the first time the equilibrium configurations of the dynamical system with all the variational equations and integrals. Also we develop the procedure we follow for locating the planar and the three-dimensional equilibrium points demonstrating an extensive numerical investigation of them by giving their number under the influence of the variation of the magnetic field and in all the cases we list their coordinates and energy.
Similar content being viewed by others
References
Alfven, H.: 1950, Clarendon Press, Oxford.
Avrett, E.: 1962,J. Geophys. Res. 67, (1), 53.
Banfi, V.: 1978, Celest. Mech.40, 67.
Contopoulos, G. and Vlahos, L.: 1975, J. Maths. Phys.16, (7), 1469.
De Vogelaere, R.: 1950,Can. J. Math. 2, 440.
Dragt, A. and Finn, J.: 1976, J. Geophys. Res.81, 2327.
Goudas, C. L. and Petsagourakis, E. G.: 1991,Predictability, Stability and Chaos in N-body Dynamicals Systems, p. 355.
Goudas, C. L. and Petsagourakis, E. G.: 1985 in V. G. Szebehely (ed.),Stability of the Solar System and Its Minor Natural and Artificial Bodies, D. Reidel Publ. Co., Dordrecht, Holland, p. 349.
Graef, C. and Kusaka, S.: 1938,J. Math. Phys. 17, 43.
Hones, M.: 1963,J. Geophys. Res. 68, (5), 1209.
Juarez, A.: 1949,Phys. Rev. 75, (1), 137.
Kalvouridis, T. and Mavraganis, A.: 1985,Celest. Mech. 35, 397.
T. Kalvouridis et all: 1985,Celest. Mech. 37, 161.
Kalvouridis, T. J.: 1988,Astrophys. Spac. Sci. 150, 149.
Kalvouridis, T. J.: 1989,Astrophys. Spac. Sci. 159, 91.
Klimopoulos, S. and Zagouras, Ch.: 1979,Astron. Astrophys. Suppl. 38, 1.
Markellos, V. and Halioulias, A.: 1977,Astrophys. Spac. Sci. 51, 177.
Mavraganis, A. and Goudas, C.: 1975,Astrophys. Spac. Sci. 32, 115.
Mavraganis, A.: 1978,Astrophys. Spac. Sci. 54, 305.
Magravanis, A. G. and Pangalos, C.: 1983,Indian J. Pure Applied Math. 14 (3), 297.
McLlwain, C.: 1961,J. Geophys. Res. 66, 3681.
Northrop, T. and Teller, E.: 1960,Phys. Rev. 117 (1), 215.
Northrop, T.: 1963, John Wiley and Sons, New York.
Pennigton, R.: 1961,J. Geophys. Res. 66 (3), 709.
Ray, E.: 1963,Ann, Phys. 24, 1.
Schermp, E.: 1938,Phys. Rev. 54, 153.
Stern, D.: 1904,Planetary Space Sic. 15, 1525.
Thomas, L.: 1938,Phys. Rev. 54, 1683.
Van Allen, J.: 1963,J. Geophys. Res. 64 (11), 1683.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Desiniotis, C.D., Kazantzis, P.G. The equilibrium configurations of the three-dipole problem. Astrophys Space Sci 202, 89–112 (1993). https://doi.org/10.1007/BF00626920
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00626920