Quasi-integrals of the restricted circular three-body problem

Statistics – Computation

Scientific paper

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Celestial Mechanics, Jacobi Integral, Three Body Problem, Computational Astrophysics, Theorem Proving, Velocity Distribution

Scientific paper

The region of the possible motion of a test body in the restricted
circular three-body problem is found along with the velocity field in
this region. The quasi-integral of the areas is obtained, and it is
proved that the Lapacian quasi-integral is absent in the restricted
circular three-body problem.

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