Bifurcation of 4 π-periodic solutions of the planar, restricted, elliptical three-body problem

Astronomy and Astrophysics – Astronomy

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95.10.Ce, 05.45.-A

Scientific paper

The bifurcation of periodic solutions in the vicinity of triangular libration points of the planar, elliptical, restricted three-body problem is considered. Values µ0 of the mass parameter µ are determined, such that the problem has non-stationary, periodic solutions close to the libration points for values of µ close to µ0 and small values of the eccentricity ɛ ⩽ 0. Asymptotic formulas for these solutions in powers of ɛ and µ - µ0 are determined.

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