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2 results

  • The special case of the three body problem, when gravitational potential is given as the Kislik potential

  • A. Shuvalova, T. Salnikova
  • Journal:
    Proceedings of the International Astronomical Union / Volume 9 / Issue S310 / July 2014
    Published online by Cambridge University Press:
    05 January 2015, pp. 45-48
    Print publication:
    July 2014
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  • In this paper we consider the special case of the planar circular restricted three-body problem by the example of the problem of the Earth, the Moon and a point mass, where the gravitational potentials of the Earth and the Moon are given as the Kislik potential. The Kislik potential takes into account the flattening of a celestial body on the poles. We find the relative equilibria solutions for a point mass and analyze their stability. We describe the difference between the obtained points and the classical solution of the three-body problem.