Three Body Orbits

Families / Sofia searches

New families

Orbits from topological families that no earlier catalogue contained; all of them unstable.

New families are periodic solutions of the planar three-body problem. The atlas holds 123 of them, with periods from 9.871 to 80.03, all with equal masses; none is linearly stable. They come from Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022), New families of periodic orbits for the planar three-body problem computed with high precision. Every orbit is precomputed to machine precision and plays one period at a time; open one to watch it, nudge it or rate it.

Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2022). New families of periodic orbits for the planar three-body problem computed with high precision. CEUR Workshop Proceedings 3191, 45–50 (link)

See them on the mapOpen Family NF.1

All 123 orbits

Family NF.1, a periodic three-body orbitFamily NF.1T 45.87Family NF.2, a periodic three-body orbitFamily NF.2T 74.54Family NF.3, a periodic three-body orbitFamily NF.3T 80.03Family NF.4, a periodic three-body orbitFamily NF.4T 9.871Family NF.5, a periodic three-body orbitFamily NF.5T 12.14Family NF.6, a periodic three-body orbitFamily NF.6T 48.10Family NF.7, a periodic three-body orbitFamily NF.7T 42.91Family NF.8, a periodic three-body orbitFamily NF.8T 42.37Family NF.9, a periodic three-body orbitFamily NF.9T 15.33Family NF.10, a periodic three-body orbitFamily NF.10T 18.39Family NF.11, a periodic three-body orbitFamily NF.11T 14.88Family NF.12, a periodic three-body orbitFamily NF.12T 18.71Family NF.13, a periodic three-body orbitFamily NF.13T 18.91Family NF.14, a periodic three-body orbitFamily NF.14T 62.86Family NF.15, a periodic three-body orbitFamily NF.15T 40.16Family NF.16, a periodic three-body orbitFamily NF.16T 24.84Family NF.17, a periodic three-body orbitFamily NF.17T 24.86Family NF.18, a periodic three-body orbitFamily NF.18T 64.59Family NF.19, a periodic three-body orbitFamily NF.19T 29.70Family NF.20, a periodic three-body orbitFamily NF.20T 50.45Family NF.21, a periodic three-body orbitFamily NF.21T 39.21Family NF.22, a periodic three-body orbitFamily NF.22T 18.98Family NF.23, a periodic three-body orbitFamily NF.23T 22.12Family NF.24, a periodic three-body orbitFamily NF.24T 23.15Family NF.25, a periodic three-body orbitFamily NF.25T 20.15Family NF.26, a periodic three-body orbitFamily NF.26T 22.15Family NF.27, a periodic three-body orbitFamily NF.27T 21.49Family NF.28, a periodic three-body orbitFamily NF.28T 53.20Family NF.29, a periodic three-body orbitFamily NF.29T 22.51Family NF.30, a periodic three-body orbitFamily NF.30T 64.03Family NF.31, a periodic three-body orbitFamily NF.31T 23.86Family NF.32, a periodic three-body orbitFamily NF.32T 23.44Family NF.33, a periodic three-body orbitFamily NF.33T 63.14Family NF.34, a periodic three-body orbitFamily NF.34T 20.91Family NF.35, a periodic three-body orbitFamily NF.35T 20.81Family NF.36, a periodic three-body orbitFamily NF.36T 20.59Family NF.37, a periodic three-body orbitFamily NF.37T 21.44Family NF.38, a periodic three-body orbitFamily NF.38T 67.04Family NF.39, a periodic three-body orbitFamily NF.39T 51.15Family NF.40, a periodic three-body orbitFamily NF.40T 24.65Family NF.41, a periodic three-body orbitFamily NF.41T 31.63Family NF.42, a periodic three-body orbitFamily NF.42T 56.20Family NF.43, a periodic three-body orbitFamily NF.43T 27.45Family NF.44, a periodic three-body orbitFamily NF.44T 51.85Family NF.45, a periodic three-body orbitFamily NF.45T 65.24Family NF.46, a periodic three-body orbitFamily NF.46T 31.58Family NF.47, a periodic three-body orbitFamily NF.47T 27.12Family NF.48, a periodic three-body orbitFamily NF.48T 25.77Family NF.49, a periodic three-body orbitFamily NF.49T 57.64Family NF.50, a periodic three-body orbitFamily NF.50T 26.35Family NF.51, a periodic three-body orbitFamily NF.51T 26.43Family NF.52, a periodic three-body orbitFamily NF.52T 27.21Family NF.53, a periodic three-body orbitFamily NF.53T 27.02Family NF.54, a periodic three-body orbitFamily NF.54T 27.58Family NF.55, a periodic three-body orbitFamily NF.55T 29.81Family NF.56, a periodic three-body orbitFamily NF.56T 25.95Family NF.57, a periodic three-body orbitFamily NF.57T 27.04Family NF.58, a periodic three-body orbitFamily NF.58T 51.84Family NF.59, a periodic three-body orbitFamily NF.59T 65.45Family NF.60, a periodic three-body orbitFamily NF.60T 61.57Family NF.61, a periodic three-body orbitFamily NF.61T 47.61Family NF.62, a periodic three-body orbitFamily NF.62T 39.03Family NF.63, a periodic three-body orbitFamily NF.63T 33.46Family NF.64, a periodic three-body orbitFamily NF.64T 40.86Family NF.65, a periodic three-body orbitFamily NF.65T 33.90Family NF.66, a periodic three-body orbitFamily NF.66T 68.76Family NF.67, a periodic three-body orbitFamily NF.67T 44.31Family NF.68, a periodic three-body orbitFamily NF.68T 57.10Family NF.69, a periodic three-body orbitFamily NF.69T 54.41Family NF.70, a periodic three-body orbitFamily NF.70T 58.01Family NF.71, a periodic three-body orbitFamily NF.71T 48.81Family NF.72, a periodic three-body orbitFamily NF.72T 56.57Family NF.73, a periodic three-body orbitFamily NF.73T 48.65Family NF.74, a periodic three-body orbitFamily NF.74T 47.37Family NF.75, a periodic three-body orbitFamily NF.75T 64.47Family NF.76, a periodic three-body orbitFamily NF.76T 42.80Family NF.77, a periodic three-body orbitFamily NF.77T 66.34Family NF.78, a periodic three-body orbitFamily NF.78T 31.93Family NF.79, a periodic three-body orbitFamily NF.79T 32.81Family NF.80, a periodic three-body orbitFamily NF.80T 33.81Family NF.81, a periodic three-body orbitFamily NF.81T 31.85Family NF.82, a periodic three-body orbitFamily NF.82T 31.17Family NF.83, a periodic three-body orbitFamily NF.83T 36.28Family NF.84, a periodic three-body orbitFamily NF.84T 58.13Family NF.85, a periodic three-body orbitFamily NF.85T 40.10Family NF.86, a periodic three-body orbitFamily NF.86T 69.84Family NF.87, a periodic three-body orbitFamily NF.87T 47.05Family NF.88, a periodic three-body orbitFamily NF.88T 43.24Family NF.89, a periodic three-body orbitFamily NF.89T 70.79Family NF.90, a periodic three-body orbitFamily NF.90T 58.01Family NF.91, a periodic three-body orbitFamily NF.91T 53.36Family NF.92, a periodic three-body orbitFamily NF.92T 50.79Family NF.93, a periodic three-body orbitFamily NF.93T 41.28Family NF.94, a periodic three-body orbitFamily NF.94T 53.04Family NF.95, a periodic three-body orbitFamily NF.95T 47.06Family NF.96, a periodic three-body orbitFamily NF.96T 44.69Family NF.97, a periodic three-body orbitFamily NF.97T 45.12Family NF.98, a periodic three-body orbitFamily NF.98T 38.73Family NF.99, a periodic three-body orbitFamily NF.99T 57.57Family NF.100, a periodic three-body orbitFamily NF.100T 60.74Family NF.101, a periodic three-body orbitFamily NF.101T 58.98Family NF.102, a periodic three-body orbitFamily NF.102T 59.48Family NF.103, a periodic three-body orbitFamily NF.103T 61.10Family NF.104, a periodic three-body orbitFamily NF.104T 51.68Family NF.105, a periodic three-body orbitFamily NF.105T 51.86Family NF.106, a periodic three-body orbitFamily NF.106T 51.25Family NF.107, a periodic three-body orbitFamily NF.107T 54.03Family NF.108, a periodic three-body orbitFamily NF.108T 54.20Family NF.109, a periodic three-body orbitFamily NF.109T 66.87Family NF.110, a periodic three-body orbitFamily NF.110T 50.68Family NF.111, a periodic three-body orbitFamily NF.111T 48.98Family NF.112, a periodic three-body orbitFamily NF.112T 56.66Family NF.113, a periodic three-body orbitFamily NF.113T 52.94Family NF.114, a periodic three-body orbitFamily NF.114T 57.42Family NF.115, a periodic three-body orbitFamily NF.115T 60.88Family NF.116, a periodic three-body orbitFamily NF.116T 66.83Family NF.117, a periodic three-body orbitFamily NF.117T 65.35Family NF.118, a periodic three-body orbitFamily NF.118T 69.43Family NF.119, a periodic three-body orbitFamily NF.119T 53.32Family NF.120, a periodic three-body orbitFamily NF.120T 69.97Family NF.121, a periodic three-body orbitFamily NF.121T 65.34Family NF.122, a periodic three-body orbitFamily NF.122T 61.37Family NF.123, a periodic three-body orbitFamily NF.123T 61.63