New satellites of figure-eight orbit computed with high precision

03/05/2022

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by   I. Hristov, et al.

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In this paper we use a Modified Newton's method based on the Continuous analog of Newton's method and high precision arithmetic for a search of new satellites of the famous figure-eight orbit. By making a purposeful search for such satellites, we found over 300 new satellites, including 7 new stable choreographies.