Orbits Asymptotic to the Outermost KAM in the Restricted Three-Body Problem

  • Masayoshi Sekiguchi
  • Kiyotaka Tanikawa
Part of the NATO ASI Series book series (NSSB, volume 272)


We checked next Conjecture by numerical integration for C = 2.98 and μ = 0.001. We will briefly describe our procedure and will show the numerical results in this paper(Sekiguchi and Tanikawa, 1990).


Satellite Orbit Celestial Mechanics Jacobi Constant Point Sequence Surface Transformation 
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  1. Arnold, V. I.:1963, Russ. Math. Surv. 18, 85.CrossRefGoogle Scholar
  2. Hagihara, Y.:1975, Celestial Mechanics, (Japan Society for the Promotion of Science), Vol.4, Part 1, p.36.ADSGoogle Scholar
  3. Moser, J.:1962, Nachr. Akad. Wiss. Goettingen Math. Phys. Kl, 1.Google Scholar
  4. Sekiguchi, M. and Tanikawa, K.:1989, Proc. Symp. 23 “Celestial Mechanics”, H. Kinoshita and H. Yoshida (eds.), (in Japanese), p.96.Google Scholar
  5. Sekiguchi, M. and Tanikawa, K.:1990, submitted to J. of Math. Phys.Google Scholar
  6. Stiefel, E L. and Scheifele, G.:1971,Linear and Regular Celestial Mechanics, (Springer-Verlag Berlin Heidelberg New York), p.20.MATHGoogle Scholar
  7. Szebehely, V.:1967, Theory of Orbits, (Academic Press, New York), pp. 455, 463.Google Scholar
  8. Tanikawa, K.:1979, ‘Dynamics of the Solar System’, (R. L. Duncombe(ed.), D. Reidel), p.l81.Google Scholar
  9. Tanikawa, K.:1983, Celest. Mech. 29, 367.MathSciNetADSCrossRefMATHGoogle Scholar
  10. Tanikawa, K. and Yamaguchi, Y.:1990, submitted to J. of Math. Analy. Appl.Google Scholar

Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Masayoshi Sekiguchi
    • 1
  • Kiyotaka Tanikawa
    • 2
  1. 1.Astrometry & Celest. Mech. Div.National Astron. Obs.Mitaka, Tokyo 181Japan
  2. 2.Theor. Astrophys. Div.National Astron. Obs.Mitaka, Tokyo 181Japan

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