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math.NA2022★ 2 cited
A database of high precision trivial choreographies for the planar three-body problem
I. Hristov, R. Hristova, I. Puzynin +3
Trivial choreographies are special periodic solutions of the planar three-body problem. In this work we use a modified Newton's method based on the continuous analog of Newton's me…
math.NA2022
New families of periodic orbits for the planar three-body problem computed with high precision
I. Hristov, R. Hristova, I. Puzynin +3
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 general numerical search of periodic orbits fo…