Periodic orbits in the vicinity of triangular libration points in the plane elliptical three-body problem

Details Periodic orbits in the vicinity of triangular libration points in the plane elliptical three-body problem Periodic orbits in the vicinity of triangular libration points in the plane elliptical three-body problem

Jan 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993kosis..31..115p&link_type=abstract

Kosmicheskie Issledovaniya, vol. 31, p. 115, 116

Computer Science

Three Body Problem, Celestial Mechanics, Libration, Orbits, Power Series, Equations Of Motion

Scientific paper

An equation of motion for the plane elliptical three-body problem is
derived in complex form, and a solution to the equation is sought in the
form of a power series. The existence of periodic solutions is
demonstrated. Solvability conditions are formulated.

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