Abstract
In this article the effect of radiation pressure on the periodic motion of small particles in the vicinity of the triangular equilibrium points of the restricted three body problem is examined. Second order parametric expansions are constructed and the families of periodic orbits are determined numerically for two sets of values of the mass and radiation parameters corresponding to the non-resonant and the resonant case. The stability of each orbit is also studied.
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Deprit, A. and Henrard, J.: 1969, Astron. Astrophys. 3, 88
Deprit, A. and Henrard, J.: 1970, in G.E.O. Giacaglia (ed.) Periodic Orbits, Stability and Resonances, D. Reidel Publ. Co., Dordrecht, Holland
Henrard, J.: 1969, Celest. Mech. 1, 437
Radzievskii, V.V.: 1950, Astron. Zh. 27, 250
Ragos, O. and Zagouras, C.G.: 1991, Celest. Mech. 50, 325–348
Ragos, O., Zagouras, C.G. and Perdios, E.: 1991, Astrophys. Space Sci., in press
Ragos, O. and Zagouras, C.G.: 1988, Celest. Mech. 44, 135
Roels, J.: 1969a, Astron. Astrophys. 1, 77
Roels, J.: 1969b, Astron. Astrophys. 1, 380
Roels, J.: 1969c, Astron. Astrophys. 2, 52
Schuerman, D.W.: 1980, Astrophys. J. 238, 337
Simmons, J.F.L., McDonalds, A.J.C. and Brown, J.C.: 1985, Celest. Mech. 35 (2), 145
Szebehely, V.: 1967, Theory of Orbits, Academic Press
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Zagouras, C.G. Periodic motion around the triangular equilibrium points of the photogravitational restricted problem of three bodies. Celestial Mech Dyn Astr 51, 331–348 (1991). https://doi.org/10.1007/BF00052926
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DOI: https://doi.org/10.1007/BF00052926