Family h of periodic solutions of the restricted problem for small μ

Details Family h of periodic solutions of the restricted problem for small μ Family h of periodic solutions of the restricted problem for small μ

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009sosyr..43....2b&link_type=abstract

Solar System Research, Volume 43, Issue 1, pp.2-25

Physics

2

95.10.Ce

Scientific paper

The results of the calculation of the family h of symmetric periodic solutions of the planar restricted three-body problem for four values of μ = 0, 10-3, 0.1, and 0.2 are presented. This family begins with retrograde circular orbits around the body of bigger mass. Associated with each value of μ are the table of critical orbits, the orbit pictures, graphs of the characteristics of the family in four coordinate systems, and graphs of the period and of traces (planar and vertical). Regularities on the family and its connection to the generating family are observed.

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