Three-body periodic collisionless equal-mass free-fall orbits revisited
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916125591207936 |
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| author | Hristov, Ivan Hristova, Radoslava Dmitrašinović, Veljko Tanikawa, Kiyotaka |
| author_facet | Hristov, Ivan Hristova, Radoslava Dmitrašinović, Veljko Tanikawa, Kiyotaka |
| contents | Li and Liao announced (2019) discovery of 313 periodic collisionless orbits' initial conditions (i.c.s), 30 of which have equal masses, and 18 of these 30 orbits have physical periods (scale-invariant periods) $T^{*}=T|E|^{3/2}<80$. That work left a lot to be desired, however, both in terms of logical consistency and of numerical efficiency. We have conducted a new search for periodic free-fall orbits, limited to the equal-mass case. Our search produced 24,582 i.c.s of equal-mass periodic orbits with scale-invariant period $T^{*}<80$, corresponding to 12,409 distinct solutions, 236 of which are self-dual. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_16159 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Three-body periodic collisionless equal-mass free-fall orbits revisited Hristov, Ivan Hristova, Radoslava Dmitrašinović, Veljko Tanikawa, Kiyotaka Classical Physics Earth and Planetary Astrophysics Chaotic Dynamics Computational Physics 70F07, 70F15, 65L05 Li and Liao announced (2019) discovery of 313 periodic collisionless orbits' initial conditions (i.c.s), 30 of which have equal masses, and 18 of these 30 orbits have physical periods (scale-invariant periods) $T^{*}=T|E|^{3/2}<80$. That work left a lot to be desired, however, both in terms of logical consistency and of numerical efficiency. We have conducted a new search for periodic free-fall orbits, limited to the equal-mass case. Our search produced 24,582 i.c.s of equal-mass periodic orbits with scale-invariant period $T^{*}<80$, corresponding to 12,409 distinct solutions, 236 of which are self-dual. |
| title | Three-body periodic collisionless equal-mass free-fall orbits revisited |
| topic | Classical Physics Earth and Planetary Astrophysics Chaotic Dynamics Computational Physics 70F07, 70F15, 65L05 |
| url | https://arxiv.org/abs/2308.16159 |