Atlas3,857 of 3,942

AAAABaaB

(1.12, 1.328, 0.88)

From Three Body Orbits (2026)

AAAABaaB (1.12, 1.328, 0.88) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.12 : 1.328 : 0.88 that return to their starting positions and velocities every 5.9843 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 14.91), so a small nudge makes it unravel over a few periods. The bodies pass within 0.117 of each other at a top speed of 3.82, line up 14 times a period, and the computed loop closes to 5.6×10⁻²⁵. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 5.984316913
Masses: 1.12 : 1.328 : 0.88
Energy: -2.69286
Angular momentum: 0
Closest approach: 0.1167
Top speed: 3.824
Path length: 20.449
Alignments per period: 14
Topology: aaaaBAAB (free-group class)
Stability: unstable (|λ|max 14.91)
Loop closure: 5.6×10⁻²⁵

Neighbours on the map

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