A Numerical Survey of Transient Co-orbitals of the Terrestrial Planets

Icarus

Volumn 144, Issue 1, 2000, Pages 1-20

  Christou, Apostolos A ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Asteroids; Dynamics; Resonances; Terrestrial planets

Indexed keywords

EID: 0002621042     PISSN: 00191035     EISSN: None     Source Type: Journal    
DOI: 10.1006/icar.1999.6278     Document Type: Article

References (52)

1. Benest D. Effects of the mass ratio on the existence of retrograde satellites in the circular plane restricted problem. Astron. Astrophys. 32:1974;39-46.
2. Benest D. Effects of the mass ratio on the existence of retrograde satellites in the circular plane restricted problem. II. Astron. Astrophys. 45:1975;353-363.
3. Benest D. Effects of the mass ratio on the existence of retrograde satellites in the circular plane restricted problem. III. Astron. Astrophys. 53:1976;231-236.
4. Benest D. Effects of the mass ratio on the existence of retrograde satellites in the circular restricted problem. IV. Three-dimensional stability of plane periodic orbits. Astron. Astrophys. 54:1977;563-568.
5. Benest D. P/Ge-Wang joins P/Slaughter-Burnham and P/Boethin in the club of comets in 1/1 resonance with Jupiter. Celest. Mech. Dynam. Astron. 47:1990;361-374.
6. Benest D., Bien R., Rickman H. Libration of Comet P/Boethin around the 1:1 resonance with Jupiter. Astron. Astrophys. 84:1980;L11-L12.
7. Bowell, E., K. Muinonen, and L. H. Wasserman1994. A public domain asteroid orbit data base. In Proceedings, IAU SymposiumA. Milani, M. Di Martino, and A. Cellino, Eds., Vol. 160, p. 477. Kluwer, Dordrecht.
8. Cohen H. J., Hamilton D. P. Effects of the radial migration of Jupiter on the Trojan asteroids. Bull. Am. Astron. Soc. 29:1997.
9. Collander-Brown S. J. The Dynamics of Selected Solar System Minor Bodies: A Numerical Study. 1998.
10. de la Barre C. M., Kaula W. M., Varadi F. A study of orbits near Saturn's triangular Lagrangian points. Icarus. 121:1996;88-113.
11. Dermott S. F., Murray C. D. The dynamics of tadpole and horseshoe orbits. I. Theory. II. The coorbital satellites of Saturn. Icarus. 48:1981;1-22.
12. Dormand J. R., El-Mikkawy M. E. A., Prince P. J. High order embedded Runge-Kutta-Nystrom formulae. IMA J. Num. Anal. 7:1987;423.
13. Dvorak R., Pilat-Lohinger E. On the dynamical evolution of the Atens and the Apollos. Planet. Space Sci. 47:1999;665-677.
14. Edgeworth K. E. The origin and evolution of the Solar System. Mon. Not. R. Astron. Soc. 109:1949;600-609.
15. Farinella P., Froeschle Ch., Froeschle C., Gonczi R., Hahn G., Morbidelli A. Asteroids falling onto the Sun. Nature. 371:1994;315-317.
16. Froeschlé Ch., Hahn G., Gonczi R., Morbidelli A., Farinella P. Secular resonances and the dynamics of Mars-crossing and near-Earth asteroids. Icarus. 117:1995;45-61.
17. Giorgini J. D., Yeomans D. K., Chamberlin A. B., Chodas P. W., Jacobson R. A., Keesey M. S., Lieske J. H., Ostro S. J., Standish E. M., Wimberly R. N. JPL's on-line Solar System data service. Bull. Am. Astron. Soc. 28:1996;1158.
18. Gladman B. J., Migliorini F., Morbidelli A., Zappalà V., Michel P., Cellino A., Froeschlé C., Levison H. F., Bailey M., Duncan M. Dynamical lifetimes of objects injected into asteroid belt resonances. Science. 277:1997;197-201.
19. Gomes R. S. Some consequences of planetary migration on the primordial asteroids. Bull. Am. Astron. Soc. 29:1997.
20. Hénon M. Numerical exploration of the restricted problem. V. Hill's case: Periodic orbits and their stability. Astron. Astrophys. 1:1969;223-238.
21. Hénon M. Numerical exploration of the restricted problem. Vl. Hill's case: Non-periodic orbits. Astron. Astrophys. 9:1970;24-36.
22. Hénon, M., and M. Guyot1970. Stability of periodic orbits in the restricted problem. In Periodic Orbits, Stability and ResonancesG. E. O. Giacaglia, Ed., pp. 349-374. Reidel, Dordrecht.
23. Hénon M., Petit J. M. Series expansions of encounter-type solutions of Hill's problem. Celest. Mech. 38:1986;67-100.
24. Hill G. W. Researches in the lunar theory. Am. J. Math. 1:1878;5-26.
25. Holt H. E., Levy D., Olmstead C. M., Bowell E., Helin E., Roman B., Lawrence K. 1990 MB. IAU Circ. 5045. 1990.
26. Jackson J. Retrograde satellite orbits. Mon. Not. R. Astron. Soc. 74:1913;62-82.
27. Jewitt D., Luu J. Discovery of the candidate Kuiper belt object 1992 QB1. Nature. 362:1993;730-732.
28. Jewitt D., Luu J. The Solar System beyond Neptune. Astron. J. 109:1995;1867-1876.
29. Kuiper, G. P.1951. The origin of the Solar System. In Astrophysics: A Topical SymposiumJ. A. Hynek, Ed., pp. 357-424. McGraw-Hill, New York.
30. Lecacheux J., Laques P., Wierick G., Lelievre G., Smith B. A., Blume W. H., Lamy P., Mauron N. Satellites of Saturn. IAU Circ. 3483. 1980.
31. Malhotra R. The origin of Pluto's orbit: Implications for the Solar System beyond Neptune. Astron. J. 110:1995;420.
32. Marsden B. G. On the relationship between comets and minor planets. Astron. J. 75:1970;206-217.
33. Marzari F., Scholl H. Capture of Trojans by a growing proto-Jupiter. Icarus. 131:1998;41-51.
34. Michel P. Overlapping of secular resonances in a Venus horseshoe orbit. Astron. Astrophys. 328:1997;L5-L8.
35. Michel P. Dynamical behaviour of near-Earth asteroids in the terrestrial planet region: The role of secular resonances. Planet. Space Sci. 46:1998;905-910.
36. Mikkola S., Innanen K. A numerical exploration of the evolution of Trojan-type asteroidal orbits. Astron. J. 104:1992;1641-1649.
37. Mikkola, S., and K. Innanen1997. Orbital stability of planetary quasi-satellites. In The Dynamical Behaviour of Our Planetary SystemR. Dvorak and J. Henrard, Eds., pp. 345-355. Kluwer, Boston.
38. Mikkola S., Innanen K., Muinonen K., Bowell E. A preliminary analysis of the orbit of the Mars Trojan asteroid (5261) Eureka. Celest. Mech. Dynam. Astron. 358:1994;53-64.
39. Milani A., Carpino M., Hahn G., Nobili A. M. Dynamics of planet-crossing asteroids - Classes of orbital behavior. Icarus. 78:1989;212-269.
40. Murray C. D. Dynamical effects of drag in the circular restricted three-body problem. 1. Location and stability of the Lagrangian equilibrium points. Icarus. 112:1994;465-484.
41. Namouni F. Secular interactions of co-orbiting objects. Icarus. 137:1999;293-314.
42. Namouni F., Christou A. A., Murray C. D. Co-orbital dynamics at large eccentricity and inclination. Phys. Rev. Lett. 83:1999;2506-2509.
43. Peale S. J. The effect of the nebula on the Trojan precursors. Icarus. 106:1993;308-322.
44. Petit J-M., Hénon M. Satellite encounters. Icarus. 66:1986;536-555.
45. Rabinowitz D. The size distribution of the Earth-approaching asteroids. Astrophys. J. 407:1993;412-427.
46. Smith B. A., Larson S. M., Fountain J. W., Veillet C. Satellites of Saturn. IAU Circ. 3593. 1981.
47. Spirig, F., and J. Waldvogel1985. Chaotic motion in Hill's lunar problem. In Stability of the Solar System and Its Minor Natural and Artificial BodiesV. Szehebely, Ed., pp. 345-355. Reidel, Dordrecht.
48. Synnott S. P., Peters C. F., Smith B. A., Morabito L. A. Orbits of the small satellites of Saturn. Science. 212:1981;191-192.
49. Tancredi G. Chaotic dynamics of planet-encountering bodies. Celest. Mech. Dynam. Astron. 70:1998;181-200.
50. Tholen D. J., Whiteley R. J. A search for Aten asteroids. Bull. Am. Astron. Soc. 29:1997.
51. Wiegert P. A., Innanen K. A., Mikkola S. An asteroidal companion to the Earth. Nature. 387:1997;685-686.
52. Wiegert P. A., Innanen K. A., Mikkola S. The orbital evolution of near-Earth asteroid 3753. Astron. J. 115:1998;2604-2613.