Some asymptotic solutions in the three body problem

Physics

Scientific paper

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Asymptotic Methods, Celestial Mechanics, Circular Orbits, Three Body Problem, Convergence, Earth-Moon System, Lagrangian Equilibrium Points, Liapunov Functions

Scientific paper

Some solutions are obtained in the form of Liapunov series to the
equations of motion of the plane circular three body problem. The
solutions asymptotically approach the Lagrange solutions, and can apply
to the earth-moon system in the vicinity of the Lagrangian equilibrium
points.

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