Second species solutions with an 0/mu/nu//, one third is less than nu, nu is less than 1, near-moon passage

Details Second species solutions with an 0/mu/nu//, one third is less than nu, nu is less than 1, near-moon passage Second species solutions with an 0/mu/nu//, one third is less than nu, nu is less than 1, near-moon passage

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..275p&link_type=abstract

Celestial Mechanics, vol. 16, Nov. 1977, p. 275-290.

Statistics

Applications

2

Astronomical Coordinates, Earth-Moon Trajectories, Lunar Orbits, Mass Ratios, Orbit Calculation, Three Body Problem, Asymptotic Series, Kepler Laws, Periodic Functions

Scientific paper

A circular, planar, restricted three-body problem with small mass ratio (mu greater than 0) is analyzed asymptotically using Guillaume's extension of the Breakwell-Perko matching theory. Attention is given to periodic solutions with one near-moon passage during half period. The deflection angle approaches zero as the mass approaches zero. Applications of the method described include the study of bifurcation phenomena and restricted stable periodic orbits in the planar restricted three-body problem.

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