Searching for New Nontrivial Choreographies for the Planar Three-Body Problem (View-only version of the paper)
I. Hristov, R. Hristova, I. Puzynin, T. Puzynina, Z. Sharipov, Z. Tukhliev
Physics of Particles and Nuclei, Volume 55, pp. 495-497 (2024), https://doi.org/10.1134/S1063779624030444
Download (txt) file with 180 correct digits data in the form (vx, vy, T, T*) ordered by T* for 259 trivial choreographies
Download (txt) file with 180 correct digits data in the form (vx, vy, T, T*) ordered by T* for 164 nontrivial choreographies
Download (txt) free-group elements for 259 trivial choreographies *
Download (txt) free-group elements for 164 nontrivial choreographies *
Download (txt) the 4 eigenvalues which determine the linear stability and their absolute values for 259 trivial choreographies **
Download (txt) the 4 eigenvalues which determine the linear stability and their absolute values for 164 nontrivial choreographies
Download (zip) files with real-space plots as zip file for all 259 trivial choreographies
Download (zip) files with real-space plots as zip file for all 164 nontrivial choreographies
* The free group word reading algorithm can be seen in Shuvakov and Dmitrashinovich (2014), A guide to hunting periodic three-body orbits, American Journal of Physics, 82(6), 609-619
** The lineary stable trivial choreographies are with initial conditions: 1, 7, 8, 143, 146, 147, 148, 149, 173, 174, 177, 238, 244