Abstract
Numerical integrations of 26 orbits of planet-crossing asteroids of Apollo-Amor type have been performed, in a solar system model including the perturbations by the planets from Venus to Neptune. The 15:th order RADAU integrator (Everhart, 1985) has been used. Orbits for the asteroids 433 Eros, 887 Alinda, 1036 Ganymed, 1221 Amor, 1580 Betulia, 1627 Ivar, 1685 Toro, 1862 Apollo, 1863 Antinous, 1864 Daedalus, 1865 Cerberus, 1915 Quetzalcoatl and 1916 Boreas have been integrated over 100 000 years forward in time and for 1866 Sisyphus, 2102 Tantalus, 2201 Oljato, 2329 Orthos, 3360 1981 VA, 3552 1983 SA, 1981 EJ30, 1985 PA, 1985 WA, 1986 DA 1986 JK and 1986 RA a period of about 33 000 years has been covered. The orbital evolutions of these asteroids are discussed. This work is part of a larger study of the long-term orbital evolution of planet-crossing asteroids and will be continued within the project SPACEGUARD (Milani et al., 1987).
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References
Babadzhanov, P.B. and Yu.V. Obrubov (1983). Secular perturbations of Apollo, Amor and Aten asteroid orbits and theoretical radiants of meteor showers, probably associated with them. In Asteroids, Comets, Meteors (C.-I. Lagerkvist, and H. Rickman, Eds.), pp. 411–417, Uppsala Universitet, Uppsala
Benest, D., R. Bien, and H. Rickman (1985). A study of the pre-discovery motion of the two asteroids 1983 SA and 1983 XF. In Dynamics of comets: their origin and evolution. Proceedings of the IAU Coll. 83, (A. Carusi and G.B. Valsecchi, Eds.), pp. 365–370,Reidel, Dordrecht
Bulirsch, R. and J. Stoer (1966). Numerical treatment of ordinary differential equations by extrapolation methods. Numer. Math. 8, 1–13
Everhart, E. (1974). Implicit single-sequence methods for integrating orbits. Celestial Mechanics 10, 35–55
Everhart, E. (1985). An efficient integrator that uses Gauss-Radau spacings. In Dynamics of comets: their origin and evolution, Proceedings of the IAU Coll. 83, (A. Carusi and G.B. Valsecchi, Eds.), pp. 185–202, Reidel, Dordrecht
Froeschlé, Ch. and H. Scholl (1986). The secular resonance v 6 in the asteroid belt. Astron. Astrophys. 166, 326–332
Froeschlé, Ch. and H. Scholl (1987). Orbital evolution of asteroids near the secular resonance v 6. Astron. Astrophys. 179, 294–303
Hahn, G. and H. Rickman (1985). Asteroids in cometary orbits. Icarus 61, 417–442
Hahn, G. and C.-I. Lagerkvist (1987). Long-term orbital evolution studies of Aten-Apollo-Amor Objects. In The few-body problem. Proceedings of the IAU Coll. 96, (M. Valtonen, Ed.), Turku, Finland, June 1987, Reidel, Pubi. Co., Dordrecht, in press
Harris, A.W. (1987). On the evolution of meteoroid collision debris in orbit about asteroids. In The few-body problem. Proceedings of the IAU Coll. 96, (M. Valtonen, Ed.), Turku, Finland, June 1987, Reidel, Publ. Co., Dordrecht, in press
Helin, E.F. and E.M. Shoemaker (1979). The Palomar planet-crossing asteroid survey, 1973–1978. Icarus 40, 321–328
Ip, W.-H. and R. Mehra (1973). Resonances and librations of some Apollo and Amor asteroids with the Earth. Astron. J. 78, 142–147
Janiczek, P.M., P.K. Seidelmann, and R.L. Duncombe (1972). Resonances and encounters in the inner solar system. Astron. J. 77, 764–773
Kozai, Y. (1980). Asteroids with large secular orbital variations. Icarus 41, 89–95
Kozai, Y. (1985a). Secular perturbations of resonant asteroids. Celestial Mechanics 36, 47–69
Kozai, Y. (1985b). Stability of asteroid motions. In Resonances in the motion of planets, satellites and asteroids. (S. Ferraz-Mello and W. Sessin, Eds.), pp. 117–127, Univ. de São Paulo, São Paulo, Brazil
McFadden, L.A., M.J. Gaffey, and T.B. McCord (1984). Mineralogical-petrological characterization of Near-Earth asteroids. Icarus 59, 25–40
Milani, A., M. Carpino, and D. Logan (1987). Project Spaceguard: Parallel computation of planet-crossing asteroid orbits, Preprint, to be published in Parallel Computing
Milani, A. and A. Nobili (1985). Errors in numerical integrations and chaotic motions. In Dynamics of comets: their origin and evolution, Proceedings of the IAU Coll. 83, (A. Carusi and G.B. Valsecchi, Eds.), pp. 365–370, Reidel, Dordrecht
Nobili, A.M. (1987). Long term dynamics of the outer solar system: review of LONG-STOP project. In The few-body problem. Proceedings of the IAU Coll. 96, (M. Valtonen, Ed.), Turku, Finland, June 1987, Reidel, Publ. Co., Dordrecht, in press
Oesterwinter, C. and C.J. Cohen (1972). New orbital elements for moon and planets. Celestial Mechanics 5, 317–395
Olsson-Steel, D. (1987a). Meteoroid streams associated with Apollo asteroids: Evidence from the Adelaide radar orbit surveys. In Proceedings of the Tenth Europ. Regional Astron. Meeting, Prague, Czechoslowakia, in press
Olsson-Steel, D. (1987b). Identification of Meteoroid streams from Apollo asteroids in the Adelaide radar orbit surveys, preprint
Rickman, H. (1985). Interrelations between comets and asteroids. In Dynamics of comets: their origin and evolution, Proceedings of the IAU Coll. 83, (A. Carusi and G.B. Valsecchi, Eds.), pp. 149–172, Reidel, Dordrecht
Russel, C.T., R. Aroian, M. Arghavani, and K. Nock (1984). Interplanetary magnetic field enhancements and their association with asteroid 2201 Oljato. Science 226, 43–45
Scholl, H. and Ch. Froeschlé, (1986). The effects of the secular resonances v 16 and v 5 on asteroidal orbits. Astron. Astrophys. 170, 138–144
Shoemaker, E.M. (1987). private communication.
Shoemaker, E.M., J.G. Williams, E.F. Helin, and R.F. Wolfe (1979). Earth-crossing asteroids: Orbital classes, collision rates with Earth and origin. In Asteroids (T. Gehrels, Ed.), pp. 253–282, Univ. of Arizona Press
Steel, D.I. (1985). Collisions in the solar system — II. Asteroid impacts upon Mars. Mon. Not. R. astr. Soc. 215, 369–381
Steel, D.I. and W.J. Baggaley (1985). Collisions in the solar system — I. Impacts of the Apollo-Amor-Aten asteroids upon the terrestrial planets. Mon. Not. R. astr. Soc. 212, 817–836
Wetherill, G.W. (1979a). Apollo objects. Scientific American 240, 38–49
Wetherill, G.W. (1979b). Steady state population of Apollo-Amor objects. Icarus 37, 96–112
Wetherill, G.W. (1985). Asteroidal source of ordinary chondrites. Meteoritics 20, 1–22
Wetherill, G.W. and E.M. Shoemaker (1982). Collision of astronomically observable bodies with the Earth. Geol. Soc. Am. Spec. Pap. 190, 1–13
Williams, J.G. (1969). Secular perturbations in the solar system, Ph.D. thesis, University of California, Los Angeles
Williams, J.G. and G.W. Wetherill (1973). Minor planets and related objects. XIII. Long-term orbital evolution of (1685) Toro. Astron. J. 78, 510–515
Wisdom, J. (1982). The origin of the Kirkwood gaps: A mapping for asteroidal motion near the 3/1 commensurability. Astron. J. 87, 577–593
Wisdom, J. (1987). Urey Prize Lecture: Chaotic Dynamics in the Solar System. Icarus 72, 241–275
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Hahn, G., Lagerkvist, CI. (1988). Orbital Evolution Studies of Planet-Crossing Asteroids. In: Dvorak, R., Henrard, J. (eds) Long Term Evolution of Planetary Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2285-3_23
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DOI: https://doi.org/10.1007/978-94-009-2285-3_23
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