Concerning 6pi-periodic solutions of the plane restricted elliptical three body problem near libration points

Details Concerning 6pi-periodic solutions of the plane restricted elliptical three body problem near libration points Concerning 6pi-periodic solutions of the plane restricted elliptical three body problem near libration points

May 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..335i&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, May-June 1984, p. 335-340. In Russian.

Physics

Elliptical Orbits, Librational Motion, Orbital Mechanics, Periodic Functions, Three Body Problem, Differential Equations, Eccentric Orbits, Linear Equations, Power Series, Recursive Functions

Scientific paper

It is shown that the equation of the plane restricted elliptical three
body problem near a triangular libration point has six different
6pi-periodic solutions in eccentricity power series. The coefficients of
the series are solutions of linear nondegenerate differential equations.
Recursive formulas are obtained for constructing the periodic solutions.

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