Abstract
There has been a renewed interest in the Trojan problem in recent years. Significant progress has been made in discovering and understanding dynamical features of motion of Jupiter's Trojan asteroids. The dynamics of hypothetical Trojan-type asteroids of other major planets has also been the subject of several recent investigations. This paper offers an overview on the current status of researches on real and hypothetical Trojan asteroids of the major planets. Results of analytical and numerical works are surveyed. Questions of dynamical properties, long-term evolution of orbits, stability regions around the triangular Lagrangian points are discussed among other problems of the Trojans.
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References
Bien, R.: 1978, Astron. Astrophys. 68, 295.
Bien, R.: 1980a, Astron. Astrophys. 81, 255.
Bien, R.: 1980b, Moon and Planets 22, 163.
Bien, R. and Schubart, J.: 1983, in V. V. Markellos, Y. Kozai, ed(s)., Dynamcal Trapping and Evolution in the Solar System, D. Reidel Publ. Co., p. 153.
Bien, R. and Schubart, J.: 1984, Celest. Mech. 34, 425.
Bien, R. and Schubart, J.: 1986, in C.-I. Lagerkvist, H. Rickman, ed(s)., Asteroids, Comets, Meteors II, Uppsala University, p. 157.
Bien, R. and Schubart, J.: 1987, Astron. Astrophys. 175, 292.
de la Barre and Kaula, W.: 1995, in A. E. Roy, B. A. Steves, ed(s)., From Newton to Chaos: Modern Techniques for Understanding and Coping with Chaos in N-body Dynamcal Systems, Plenum Press, New York, p. 379.
de la Barre, C. M., Kaula, W. M., and Varadi, F.: 1996, Icarus 121, 88.
Chebotarev, G. A., Belyaev, N. A., and Eremenko, R. P.: 1974, in Y. Kozai, ed(s)., The Stability of the Solar System and of Small Stellar Systems, D. Reidel Publ. Co. Dordrecht, Holland, p. 63.
Érdi, B.: 1977, Celest. Mech. 15, 367.
Érdi, B.: 1978, Celest. Mech. 18, 141.
Érdi, B.: 1979, Celest. Mech. 20, 59.
Érdi, B.: 1981, Celest. Mech. 24, 377.
Érdi, B.: 1983a, Celest. Mech. 30, 3.
Érdi, B.: 1983b, in Y. Kozai, V. V. Markellos, ed(s)., Dynamcal Trapping and Evolution in the Solar System, D. Reidel Publ. Co., Dordrecht, Holland, p. 165.
Érdi, B.: 1984, Celest. Mech. 34, 435.
Érdi, B.: 1988, Celest. Mech. 43, 303.
Erdi, B.: 1995, in S. Fenaz-Mello, B. Morando and J. E. Arlot, ed(s)., Dynamics, Ephemerides and Astrometry in the Solar System, Kluwer Academic Publishers, Dordrecht, Holland, p. 171.
éErdi, B. and Presler, W. H.: 1980, Astron. J. 85, 1670.
Érdi, B. and Váradi, F.: 1983, in C.-I. Lagerkvist, H. Rickman, ed(s)., Asteroids, Comets, and Meteors, Uppsala Universitet, p. 155.
Garfinkel, B.: 1977, Astron. J. 82, 368.
Garfinkel, B.: 1978, Celest. Mech. 18, 259.
Garfinkel, B.: 1980, Celest. Mech. 22, 267.
Garfinkel, B.: 1983, Celest. Mech. 30, 373.
Garfinkel, B.: 1985, Celest. Mech. 36, 19.
Holman, M. J. and Wisdom, J.: 1993, Astron. J. 105, 1987.
Holt, H. E. and Levy, D.: 1990, IAU Circ., No. 5045.
Innanen, K. A. and Mikkola, S.: 1989, Astron. J. 97, 900.
Kevorkian, J.: 1970, in G. E. O. Giacaglia, ed(s)., Periodic Orbits, Stability and Resonances, D. Reidel Publ. Co. Dordrecht, Holland, p. 286.
Levison, H. F., Shoemaker, E. M., and Wolfe, R. F.: 1991, Lunar and Planetary Science XXII, 803.
Mikkola, S. and Innanen, K.: 1990, Astron. J. 100, 290.
Mikkola, S. and Innanen, K.: 1992, Astron. J. 104, 1641.
Mikkola, S. and Innanen, K.: 1994, Astron. J. 107, 1879.
Mikkola, S., Innanen, K., Muinonen, K., and Bowell, E.: 1994, Celest. Mech. 58, 53.
Milani, A.: 1993, Celest. Mech. 57, 59.
Milani, A.: 1994, in nA. Milani et al., ed(s)., Asteroids, Comets, Meteors 1993, Kluwer Academic Publ., p. 159.
Nakai, H. and Kinoshita, H.: 1985, Celest. Mech. 36, 391.
Nobili, A. M., Milani, A., and Carpino, A.: 1989, Astron. Astrophys. 210, 313.
Schubart, J.: 1964, SAO Spec. Rep. No. 149, 1.
Schubart, J. and Bien, R.: 1984, Celest. Mech. 34, 443.
Schubart, J. and Bien, R.: 1986, in C-I. Lagerkvist, H. Rickman, ed(s)., Asteroids, Comets, Meteors II, Uppsala Univ. Publ., p. 153.
Schubart, J. and Bien, R.: 1987, Astron. Astrophys. 175, 299.
Shoemaker, E. M., Shoemaker, C. S., and Wolfe, R. F.: 1989, in R. P. Binzel, T. Gehrels, M. S. Mattews, ed(s)., Asteroids II, Arizona University Press, p. 487.
Szebehely, V.: 1967, Theory of Orbits, Academic Press, New York and London.
Varadi, F., de la Barre, C. M., Kaula, W. M., and Ghil, M.: 1995, Celest.Mech. 62, 23.
Wisdom, J. and Holman, M.: 1991, Astron. J. 102, 1528.
Zhang, S. P. and Innanen, K. A.: 1988a, Astron. J. 96, 1983.
Zhang, S. P. and Innanen, K. A.: 1988b, Astron. J. 96, 1989.
Zhang, S. P. and Innanen, K. A.: 1988c, Astron. J. 96, 1995.
Zagretdinov, R. V.: 1986, Kinematika i Fizika Nebesnih Tel 2, N 3, 68.
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Érdi, B. The Trojan problem. Celestial Mech Dyn Astr 65, 149–164 (1996). https://doi.org/10.1007/BF00048444
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DOI: https://doi.org/10.1007/BF00048444