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Escape from a gravitational system of positive energy

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Abstract

It is proved in this article that under the condition defined in Equation (6), whent→∞, at least two particles must escape from a Newtonian gravitational system of positive energy.

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References

  • Pollard, H.: 1964, ‘A Sharp Form of the Virial Theorem’,Bull. Amer. Math. Soc. 70, 703–705.

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  • Pollard, H.: 1967, ‘The Behavior of Gravitational Systems’,J. Math. Mech. 17, 601–612.

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Authors and Affiliations

  1. Div. of Mathematical Sciences, Purdue University, Lafayette, Ind., U.S.A.

    Harry Pollard

  2. Dept. of Mathematics, Northwestern University, Evanston, Ill., U.S.A.

    Donald G. Saari

Authors
  1. Harry Pollard
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  2. Donald G. Saari
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Pollard, H., Saari, D.G. Escape from a gravitational system of positive energy. Celestial Mechanics 1, 347–350 (1970). https://doi.org/10.1007/BF01231139

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  • DOI: https://doi.org/10.1007/BF01231139

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