Numerical search for three-body periodic free-fall orbits with central symmetry
(arXiv:2503.00432) Communications in Nonlinear Science and Numerical Simulation, Volume 151, December 2025)

I. Hristov, R. Hristova, T. Puzynina, Z. Sharipov, Z. Tukhliev


Download (txt) file with 100 correct digits data in the form (vx, vy, T, T*) ordered by T* for all 4860 Euler half-twist i.c.s

Download (txt) file with 100 correct digits data in the form (px, py, T, T*) ordered by T* for all 4860 free-fall i.c.s

Download (txt) file with 30 correct digits data for the 4 eigenvalues which determine the linear stability for all 4860 orbits

Download (txt) file with 30 correct digits data for max(abs(eigenvalues)) (first column) and ln(max(abs(eigenvalues)))=maximum Lyapunov exponent (second column) for all 4860 orbits

Download (zip) files with real-space plots as zip file for the first (with respect to T*) 200 Euler half-twist i.c.s

Download (zip) files with real-space plots as zip file for the first (with respect to T*) 200 free-fall i.c.s

Download (zip) animations of solutions 1, 2, 7, 14, 28 (solution 28 is F14 (1, 1, 1) from [2])

Download (txt) file with syzygy sequences for all i.c.s (pdf file with explanation)