Three-body periodic collisionless equal-mass free-fall orbits revisited

• DOI: 10.1007/s10569-023-10177-w
• Publication Date: 2024-02-12T16:02:55Z
• Authors: Ivan Hristov; Radoslava Hristova; Veljko Dmitrašinović; Kiyotaka Tanikawa
• Keywords: Earth and Planetary Astrophysics (astro-ph.EP); Classical Physics (physics.class-ph); FOS: Physical sciences; Physics - Classical Physics; Computational Physics (physics.comp-ph); Nonlinear Sciences - Chaotic Dynamics; 01 natural sciences; 70F07, 70F15, 65L05; 0103 physical sciences; Chaotic Dynamics (nlin.CD); Physics - Computational Physics; Astrophysics - Earth and Planetary Astrophysics

AbstractLi 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) $$T^{*}<80$$

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 $$T^{*}<80$$

T

∗

< 80

, corresponding to 12,409 distinct solutions, 236 of which are self-dual.