Families c and i of periodic solutions of the restricted problem for μ = 5 × 10-5

Details Families c and i of periodic solutions of the restricted problem for μ = 5 × 10-5 Families c and i of periodic solutions of the restricted problem for μ = 5 × 10-5

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009sosyr..43...26b&link_type=abstract

Solar System Research, Volume 43, Issue 1, pp.26-40

Physics

95.10.Ce

Scientific paper

We consider the circular planar restricted three-body problem with the mass parameter μ = 5 × 10-5. Two families of periodic solutions are calculated: family c, starting from the collinear fixed point L 1, and the initial part of family i, which begins by direct circular orbits of an infinitely small radius around the body of bigger mass. The calculated families are very close to the generating ones, which we described earlier. In particular, the existence of the predicted zigzag structure of characteristics of family iis verified. New properties of the planar and vertical traces are discovered.

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