Atlas3,859 of 3,942

AAAAAAABaB

(1.25, 1.133, 0.75)

From Three Body Orbits (2026)

AAAAAAABaB (1.25, 1.133, 0.75) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.25 : 1.133 : 0.75 that return to their starting positions and velocities every 29.596 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 896), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0732 of each other at a top speed of 4.8, line up 18 times a period, and the computed loop closes to 4.6×10⁻²⁸. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 29.59587589
Masses: 1.25 : 1.133 : 0.75
Energy: -0.971445
Angular momentum: 0
Closest approach: 0.07321
Top speed: 4.796
Path length: 61.191
Alignments per period: 18
Topology: aaaaaaaBAB (free-group class)
Stability: unstable (|λ|max 8960)
Loop closure: 4.6×10⁻²⁸

Neighbours on the map

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