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AABaBabAAbaBaB

(1.12, 0.802, 0.88)

From Three Body Orbits (2026)

AABaBabAAbaBaB (1.12, 0.802, 0.88) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.12 : 0.802 : 0.88 that return to their starting positions and velocities every 39.734 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 181.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0388 of each other at a top speed of 5.71, line up 24 times a period, and the computed loop closes to 2.9×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 39.73378400
Masses: 1.12 : 0.802 : 0.88
Energy: -0.834144
Angular momentum: 0
Closest approach: 0.03884
Top speed: 5.712
Path length: 78.665
Alignments per period: 24
Stability: unstable (|λ|max 181.9)
Loop closure: 2.9×10⁻²⁶

Neighbours on the map

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