Atlas3,877 of 3,942

AAAAbaBabAbaBab

(1, 0.999, 1)

From Three Body Orbits (2026)

AAAAbaBabAbaBab (1, 0.999, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.999 : 1 that return to their starting positions and velocities every 14.206 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 30297), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0318 of each other at a top speed of 6.08, line up 26 times a period, and the computed loop closes to 4.8×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 14.20586910
Masses: 1 : 0.999 : 1
Energy: -1.89400
Angular momentum: 0
Closest approach: 0.03181
Top speed: 6.078
Path length: 39.998
Alignments per period: 26
Topology: aaaabABAbabABAb (free-group class)
Stability: unstable (|λ|max 30297)
Loop closure: 4.8×10⁻²⁶

Neighbours on the map

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