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Resonant structure of the outer Solar System

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Abstract

Hierarchical stability of the outer Solar System is monitored through its 3-body subsystems by using numerically computed ephemerides for 5×106 yr. It is found that the stability parameters of Sun-Jupiter-Saturn and Sun-Uranus-Neptune oscillate in anti-phase in ∼1.1×106 yr. The mechanism responsible for this locking is a secular resonance between Uranus' perihelion and Jupiter's aphelion: the difference between the two librates within ∼±70° with the same period of ∼1.1×106 yr.

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References

  • Bretagnon, P.: 1974,Astron. Astrophys. 30, 141.

    Google Scholar 

  • Cohen, C. J., Hubbard, E. C., and Oesterwinter, C.: 1973,Astr. Pap. Am. Ephem. 22, pt. 1.

  • Duncombe, R. L. and Seidelmann, P. K.: 1980,Icarus 44, 12.

    Google Scholar 

  • Easton, R.: 1975,J. Diff. Equations 19, 258.

    Google Scholar 

  • Farinella, P., Milani, A., Nobili, A. M., and Valsecchi, G. B.: 1980,Icarus 44, 810.

    Google Scholar 

  • Kinoshita, H. and Nakai, H.: 1985,Celest. Mech., in press.

  • Marchal, C.: 1971,Astron. Astrophys. 10, 278.

    Google Scholar 

  • Milani, A. and Nobili, A. M.: 1983a,Celest. Mech. 31, 213.

    Google Scholar 

  • Milani, A. and Nobili, A. M.: 1983b,Celest. Mech. 31, 241.

    Google Scholar 

  • Milani, A. and Nobili, A. M.: 1984, in A. Berger (ed.),The Big Bang and Georges Lemaitre, D. Reidel Publ. Co., Dordrecht, Holland, p. 219.

    Google Scholar 

  • Milani, A. and Nobili, A. M.: 1985,Celest. Mech., In press.

  • Roy, A. E.: 1982, in V. Szebehely (ed.),Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics, D. Reidel Publ. Co., Dordrecht, Holland, p. 103.

    Google Scholar 

  • Smale, S.: 1970,Invent. Math. 11, 45.

    Google Scholar 

  • Szebehely, V. and Zare, K.: 1977,Astron. Astrophys. 58, 145.

    Google Scholar 

  • Walker, I. W., Gordon Emslie, A., and Roy, A. E.: 1980,Celest. Mech. 22, 371.

    Google Scholar 

  • Walker, I. W. and Roy, A. E.: 1981,Celest. Mech. 24, 195.

    Google Scholar 

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Milani, A., Nobili, A.M. Resonant structure of the outer Solar System. Celestial Mechanics 35, 269–287 (1985). https://doi.org/10.1007/BF01227657

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  • DOI: https://doi.org/10.1007/BF01227657

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