Atlas3,871 of 3,942

AAABabbaB

(1, 0.923, 1)

From Three Body Orbits (2026)

AAABabbaB (1, 0.923, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.923 : 1 that return to their starting positions and velocities every 6.1143 time units, published by Three Body Orbits (2026). 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. It is unstable (largest Floquet multiplier 1055), so a small nudge makes it unravel over a few periods. The bodies pass within 0.06 of each other at a top speed of 4.59, line up 14 times a period, and the computed loop closes to 3.8×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 6.114339864
Masses: 1 : 0.923 : 1
Energy: -2.11456
Angular momentum: 0
Closest approach: 0.05995
Top speed: 4.594
Path length: 19.117
Alignments per period: 14
Topology: aaaBAbbAB (free-group class)
Stability: unstable (|λ|max 1055)
Loop closure: 3.8×10⁻²⁶

Neighbours on the map

All New unequal-mass families, the families of periodic three-body orbits, or the atlas map.