Atlas3,895 of 3,915

AABBAABBAABaBAABaB

(1.25, 1, 0.75)

From Three Body Orbits (2026)

AABBAABBAABaBAABaB (1.25, 1, 0.75) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.25 : 1 : 0.75 that return to their starting positions and velocities every 70.713 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 848.5), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0196 of each other at a top speed of 7.45, line up 28 times a period, and the computed loop closes to 7.9×10⁻²⁷. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 70.71253507
Masses: 1.25 : 1 : 0.75
Energy: -0.683941
Angular momentum: 0
Closest approach: 0.01964
Top speed: 7.447
Path length: 130.20
Alignments per period: 28
Stability: unstable (|λ|max 848.5)
Loop closure: 7.9×10⁻²⁷

Neighbours on the map

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