Three Body Orbits

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New unequal-mass families

Forty-two periodic orbits of topologies absent from the checked catalogues, found in a September 2026 search at unequal masses: the middle body lighter or heavier than the outer two, or all three different. Each is named by its free-group word, a few by a nickname; all are unstable. Candidate new families relative to the catalogues checked, not established discoveries.

New unequal-mass families are periodic solutions of the planar three-body problem. The atlas holds 42 of them, with periods from 4.501 to 198.4, for several mass ratios; none is linearly stable. They come from Three Body Orbits (2026), New-family 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). New-family orbit search. Research note, threebodyorbits.com, 9 September 2026

See them on the mapOpen AAAAAAAAAAAAAAAAAAAAAAABaaaaB

All 42 orbits

AAAAAAAAAAAAAAAAAAAAAAABaaaaB, a periodic three-body orbitAAAAAAAAAAAAAAAAAAAAAAABaaaaB (1.25, 0.871, 0.75)T 4.501AAAAAAAAAAAAAAAAAAAAABBAABB, a periodic three-body orbitAAAAAAAAAAAAAAAAAAAAABBAABB (1.25, 1.066, 0.75)T 4.995AAAAAAAAAAAABaaB, a periodic three-body orbitAAAAAAAAAAAABaaB (1, 1.268, 1)T 30.18AAAAAAAABaB, a periodic three-body orbitAAAAAAAABaB (1.25, 1.134, 0.75)T 32.07AAAAAAAAbabbbab, a periodic three-body orbitAAAAAAAAbabbbab (1.25, 0.709, 0.75)T 7.462AAAAAAABaB, a periodic three-body orbitAAAAAAABaB (1.25, 1.133, 0.75)T 29.60AAAAAABaB, a periodic three-body orbitAAAAAABaB (1.25, 1.131, 0.75)T 27.15AAAAABBB, a periodic three-body orbitAAAAABBB (1.12, 1.013, 0.88)T 198.4AAAAABaaB, a periodic three-body orbitAAAAABaaB (1.25, 0.905, 0.75)T 12.92AAAAABaaaB, a periodic three-body orbitAAAAABaaaB (1.25, 1.044, 0.75)T 5.616AAAAABabbaBABabbaB, a periodic three-body orbitAAAAABabbaBABabbaB (1, 0.948, 1)T 28.38AAAABaB, a periodic three-body orbitAAAABaB (1.25, 1.13, 0.75)T 5.540AAAABaaB, a periodic three-body orbitAAAABaaB (1.12, 1.328, 0.88)T 5.984AAAABabbbaB, a periodic three-body orbitAAAABabbbaB (1, 1.091, 1)T 6.441AAAAbaBab, a periodic three-body orbitAAAAbaBab (1.12, 1.084, 0.88)T 7.163AAAAbaBabAbaBab, a periodic three-body orbitAAAAbaBabAbaBab (1, 0.999, 1)T 14.21AAABBAAABBAbABB, a periodic three-body orbitAAABBAAABBAbABB (1.25, 1.022, 0.75)T 43.64AAABBAABB, a periodic three-body orbitAAABBAABB (1.25, 1.129, 0.75)T 11.58AAABaBAbaBabAbaBabABaB, a periodic three-body orbitAAABaBAbaBabAbaBabABaB (1, 1.008, 1)T 40.06AAABabABaBAbABaBAbaB, a periodic three-body orbitAAABabABaBAbABaBAbaB (1.12, 0.923, 0.88)T 14.31AAABabABaBAbaB, a periodic three-body orbitAAABabABaBAbaB (1.12, 1.034, 0.88)T 15.06AAABabAbaB, a periodic three-body orbitAAABabAbaB (1.12, 0.999, 0.88)T 8.049AAABabbaB, a periodic three-body orbitAAABabbaB (1, 0.923, 1)T 6.114AAAbaBabaBab, a periodic three-body orbitAAAbaBabaBab (1.12, 0.961, 0.88)T 43.60AABBAABBAABaBAABaB, a periodic three-body orbitAABBAABBAABaBAABaB (1.25, 1, 0.75)T 70.71AABaBAbaBabAbaBabABaB, a periodic three-body orbitAABaBAbaBabAbaBabABaB (1, 0.964, 1)T 35.56AABaBAbbABaB, a periodic three-body orbitAABaBAbbABaB (1, 0.98, 1)T 22.75AABaBabAAbaBaB, a periodic three-body orbitAABaBabAAbaBaB (1.12, 0.802, 0.88)T 39.73AABaaBAAbaBBab, a periodic three-body orbitAABaaBAAbaBBab (1, 1, 1)T 20.35AABaaBAAbaBab, a periodic three-body orbitAABaaBAAbaBab (1, 1.084, 1)T 35.05AABabABabAbaBAbaB, a periodic three-body orbitAABabABabAbaBAbaB (1.12, 1.061, 0.88)T 52.06AAbABaBABaBAb, a periodic three-body orbitAAbABaBABaBAb (1.12, 0.985, 0.88)T 30.56AAbaBBabAAbaBabAAbaBab, a periodic three-body orbitAAbaBBabAAbaBabAAbaBab (1, 0.931, 1)T 37.69AAbaBBabAAbab, a periodic three-body orbitAAbaBBabAAbab (1.12, 0.974, 0.88)T 30.44ABAbABaBAb, a periodic three-body orbitABAbABaBAb (1, 0.917, 1)T 20.76Asymmetric loops, a periodic three-body orbitAsymmetric loops (1.12, 1.03, 0.88)T 17.71Interlaced petals, a periodic three-body orbitInterlaced petals (1.25, 1.112, 0.75)T 15.10Long-lobed flower, a periodic three-body orbitLong-lobed flower (1, 1.077, 1)T 4.794Near-equal-mass weave, a periodic three-body orbitNear-equal-mass weave (1, 1.023, 1)T 33.83Nested crossings, a periodic three-body orbitNested crossings (1.25, 1.134, 0.75)T 10.45Weak-instability lattice, a periodic three-body orbitWeak-instability lattice (1, 1.077, 1)T 27.69Woven loops, a periodic three-body orbitWoven loops (1, 0.563, 1)T 33.15