Atlas3,866 of 3,942

AAAAAAAAAAAAAAAAAAAAAAABaaaaB

(1.25, 0.871, 0.75)

From Three Body Orbits (2026)

AAAAAAAAAAAAAAAAAAAAAAABaaaaB (1.25, 0.871, 0.75) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.25 : 0.871 : 0.75 that return to their starting positions and velocities every 4.5013 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 541.4), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0189 of each other at a top speed of 8.51, line up 56 times a period, and the computed loop closes to 2.0×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 4.501348215
Masses: 1.25 : 0.871 : 0.75
Energy: -5.60757
Angular momentum: 0
Closest approach: 0.01889
Top speed: 8.514
Path length: 21.918
Alignments per period: 56
Topology: aaaaaaaaaaaaaaaaaaaaaaaBAAAAB (free-group class)
Stability: unstable (|λ|max 541.4)
Loop closure: 2.0×10⁻²⁶

Neighbours on the map

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