Families / This site’s searches
Broucke-like rosettes
Zero-angular-momentum relatives of Broucke’s rosettes: two equal bodies in a close binary and a lighter third body circling them the other way, its mass tuned so that the precession closes the pattern after a whole number of turns and the inner paths cross the outer one. Fourteen representatives from the site’s own September 2026 search, all linearly stable; points on a known continuous family rather than a new one. Named by the inner and outer winding counts.
Broucke-like rosettes are periodic solutions of the planar three-body problem. The atlas holds 14 of them, with periods from 21.2 to 386.4, for several mass ratios; all of them are linearly stable. They come from Three Body Orbits (2026), Eight-hour Broucke-like orbit search. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.
Three Body Orbits (2026). Eight-hour Broucke-like orbit search. Research note, threebodyorbits.com, 9 September 2026
All 14 orbits
Rosette 4:5 (1, 0.47, 1)
Rosette 4:7 (1.005, 0.497, 0.995)
Rosette 5:9 (1.025, 0.497, 0.975)
Rosette 5:9 (1, 0.495, 1)
Rosette 6:11 (1, 0.497, 1)
Rosette 7:13 (1, 0.497, 1)
Rosette 8:10 (1.472, 0.369, 0.528)
Rosette 11:19 (1, 0.495, 1)
Rosette 27:33 (1, 0.474, 1)
Rosette 35:49 (1, 0.484, 1)
Rosette 40:65 (1, 0.493, 1)
Rosette 45:72 (1, 0.485, 1)
Rosette 55:99 (1, 0.51, 1)
Rosette 81:139 (1, 0.501, 1)