A New Critical Value Concerning the Genealogy of Long Period Families at L4 in the Restricted Three-body Problem

Details A New Critical Value Concerning the Genealogy of Long Period Families at L4 in the Restricted Three-body Problem A New Critical Value Concerning the Genealogy of Long Period Families at L4 in the Restricted Three-body Problem

Feb 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008chjaa...8..103h&link_type=abstract

Chinese Journal of Astronomy and Astrophysics, Volume 8, Issue 1, pp. 103-107 (2008).

Astronomy and Astrophysics

Astrophysics

4

Scientific paper

We found another critical mass ratio value bar mu between μ4 and μ5 concerning the genealogy of the long period family around the equilateral equilibrium point L4 in the restricted three-body problem. This value has not been pointed out before. We used numerical computations to show how the long period family evolves around this critical value. The case is similar to that of the critical values between μ2 and μ4, with slight difference in evolution details.

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