The family of planar periodic orbits generated by the equal-mass four-body Schubart interplay orbit |
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| Authors: | Valerie Chopovda Winston L Sweatman |
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| Institution: | 1.Massey University,Auckland,New Zealand |
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| Abstract: | We locate members of a one-parameter family of equal-mass four-body periodic orbits in the plane. The family begins and ends with the rectilinear four-body equal-mass Schubart interplay orbit and passes through a double choreography orbit. The first-order stability of these orbits is computed. Some members of this symmetric family are stable to symmetric perturbations; however, they are unstable when all perturbations are allowed. |
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