Abstract
The stability and capture regions in phase space for retrograde and direct planetary satellites are investigated in the frame of the Circular Restricted Three-Body Problem. We show that a second integral of motion furnishes an accurate description for the stability limit of retrograde satellites.
The distribution of heliocentric orbital elements is studied, and possible candidates to be temporary Jovian satellites are investigated.
Previous results, limited to orbits satisfying the Mirror Theorem, are extended in order to give a complete set of capture conditions in phase-space.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Bailey, J. M., 1972, J. Geophys. Res. 76, 7827.
Benner, L. A. M., McKinnon, W. B., 1994, Icarus 114, 1.
Bozis, C., 1966, Astron. J. 71, 404.
Brunini, A., 1995, Earth. Moon and Planets (in press).
Brunini, A. Giordano, C. M., Orellana, R. B., 1995, Astron. Astrophys. (submitted).
Carusi, A. Pozzi, E., 1978, Moon Planets 19, 71.
Carusi, A. Pozzi, E. Valsecchi, G.B., 1979, in Dynamics of the Solar System (R. L. Duncombe ed.), D. Reidel, Dordrecht, 185.
Carusi, A. Valsecchi, G.B., 1979, in Asteroids T. Gehrels (ed.), Univ. Arizona Press, Tucson, 391.
Carusi, A. Valsecchi, G.B., 1980a, Moon Planets 22, 113.
Carusi, A. Valsecchi, G.B., 1980b, Moon Planets 22, 133.
Carusi, A. Kresák, L. Perozzi, E. Valsecchi, G.B., 1985, Long-term Evolution of Shortperiod Comets, Adam Hilger, Bristol.
Contopoulos, G., 1965, Ap J 142, 802.
Danby, J.M.A., 1988, Fundamentals of Celestial Mechanics, The Macmillan Company, New York.
Goldreich, P., Murray, N., Longaretti, P. Y., Bandfield, D., 1989, Science 245, 500.
Hénon, M., 1969, Astron. Astrophys. 1, 223.
Hénon, M., 1970, Astron. Astrophys. 9, 24.
Heppenheimer, T. A., 1975, Icarus 24, 172.
Hopf, E., 1930, Math. Ann. 103, 710.
Huang, T.-Y., Innanen K.A., 1983, Astron. J. 88, 1537.
Hunter, R. B., 1967, Mon. Not. Roy. Astron. Soc. 136, 245.
Kuiper, G.P., 1961, in Planets and Satellites, (eds. Kniper, G.P. & Middlehurst, B.M.) University of Chicago Press, 575.
Moulton, F.R., 1914, An Introduction to Celestial Mechanics, The Macmillan Company, New York.
Murison, M., 1989, Astron. J. 98, 2346.
Rickman, H., 1979, in Dynamics of the Solar System (R.L. Duncombe ed.), D. Reidel, Dordrecht, 293.
Roy, A.E., Ovenden, M.W., 1955, Mon. Not. R. Astron. Soc. 115, 296.
Szebehely, V., 1967, Theory of Orbits, Academic Press, New York.
Tancredi, G., Lindgren, M., Rickman, H.: 1990, Astron. Astrophys. 239, 375.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brunini, A. On the satellite capture problem. Celestial Mech Dyn Astr 64, 79–92 (1996). https://doi.org/10.1007/BF00051607
Issue Date:
DOI: https://doi.org/10.1007/BF00051607