Atlas3,896 of 3,942

Weak-instability lattice

(1, 1.077, 1)

From Three Body Orbits (2026)

Weak-instability lattice (1, 1.077, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1.077 : 1 that return to their starting positions and velocities every 27.69 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 weakly unstable (largest Floquet multiplier 1.291), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00721 of each other at a top speed of 12.4, line up 42 times a period, and the computed loop closes to 4.7×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 27.69046922
Masses: 1 : 1.077 : 1
Energy: -1.82504
Angular momentum: 0
Closest approach: 0.007206
Top speed: 12.45
Path length: 79.542
Alignments per period: 42
Topology: abaBAbabABabaBABabABAbaBAB (free-group class)
Stability: weakly unstable (|λ|max 1.291)
Loop closure: 4.7×10⁻²⁶

Neighbours on the map

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