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New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies

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Ukrainian Mathematical Journal Aims and scope

Abstract

The existence of a 5-parameter family of exact solutions is proved for differential equations describing the motion of many bodies that attract one another according to an arbitrary law depending on the distances between the bodies.

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References

  1. E. A. Grebenikov, “Theorem on the existence of exact symmetric solutions in a two-dimensional Newtonian problem of many bodies,” Rom. Astronom. J., 7, No. 2 (1997).

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Authors and Affiliations

  1. Institute of Highly Efficient Computing Systems, Russian Academy of Sciences, Moscow

    L. Ya. Gadomskii, E. A. Grebenikov, A. R. Gurskaya & N. I. Zemtsova

Authors
  1. L. Ya. Gadomskii
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  2. E. A. Grebenikov
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  3. A. R. Gurskaya
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  4. N. I. Zemtsova
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 329–337, March, 1998.

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Gadomskii, L.Y., Grebenikov, E.A., Gurskaya, A.R. et al. New classes of exact solutions for a problem of many bodies that attract one another according to an arbitrary law depending on the distances between bodies. Ukr Math J 50, 377–386 (1998). https://doi.org/10.1007/BF02528803

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  • DOI: https://doi.org/10.1007/BF02528803

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