Three-body periodic collisionless equal-mass free-fall orbits revisited
Abstract
Li and Liao announced (New Astron 70:22-26, 2019, arXiv:1805.07980v1) 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∗<80 . We revisited this work with the intention to improve both, its logical consistency and the numerical efficiency of the method. 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.
- Publication:
-
Celestial Mechanics and Dynamical Astronomy
- Pub Date:
- February 2024
- DOI:
- 10.1007/s10569-023-10177-w
- arXiv:
- arXiv:2308.16159
- Bibcode:
- 2024CeMDA.136....7H
- Keywords:
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- Three-body problem;
- Free-fall periodic collisionless orbits;
- Numerical search;
- Physics - Classical Physics;
- Astrophysics - Earth and Planetary Astrophysics;
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Computational Physics;
- 70F07;
- 70F15;
- 65L05
- E-Print:
- 21 pages, 15 figures, 3 tables