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Properties of the moment of inertia in the problem of three bodies

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Abstract

Sundman's and Birkhoff's results are combined with a recently developed inequality and new qualitative results are given for the problem of three bodies.

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References

  • Birkhoff, G. D.: 1927,Dynamical Systems, Amer. Mathematical Socialy Publishing Providence, R.I.

    Google Scholar 

  • Golubev, V. G.: 1968,Doklady Akad. Nauk SSSR 180, 308.

    Google Scholar 

  • Marchal, C. and Saari, D. C.: 1975,Celest. Mech. 12, 115.

    Google Scholar 

  • Sundman, K.: 1912,Acta Math. 36, 105.

    Google Scholar 

  • Szebehely, V.: 1973, ‘Recent Advances in the Problem of Three Bodies’, in B. D. Tapley and V. Szebeheley (eds.),Recent Advances in Dynamical Astronomy, D. Reidel Publ. Co., Dordrecht, Holland.

    Google Scholar 

  • Szebehely, V.: 1974a,Astron. J. 79, 981.

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  • Szebehely, V.: 1974b,Astron. J. 79, 1449.

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  • Zare, K.: 1976,Celest. Mech. 14, 73.

    Google Scholar 

  • Zare, K.: 1977,Celest. Mech.,16, 35.

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Authors and Affiliations

  1. University of Texas, 78712, Austin, Texas, U.S.A.

    K. Zare

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  1. K. Zare
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Zare, K. Properties of the moment of inertia in the problem of three bodies. Celestial Mechanics 24, 345–354 (1981). https://doi.org/10.1007/BF01230394

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  • DOI: https://doi.org/10.1007/BF01230394

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