Atlas3,885 of 3,915

AAAbaBabaBab

(1.12, 0.961, 0.88)

From Three Body Orbits (2026)

AAAbaBabaBab (1.12, 0.961, 0.88) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.12 : 0.961 : 0.88 that return to their starting positions and velocities every 43.599 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 56.77), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0852 of each other at a top speed of 3.5, line up 20 times a period, and the computed loop closes to 1.0×10⁻²⁵. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 43.59916524
Masses: 1.12 : 0.961 : 0.88
Energy: -0.734891
Angular momentum: 0
Closest approach: 0.08516
Top speed: 3.502
Path length: 74.909
Alignments per period: 20
Stability: unstable (|λ|max 56.77)
Loop closure: 1.0×10⁻²⁵

Neighbours on the map

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