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Interlaced petals

(1.25, 1.112, 0.75)

From Three Body Orbits (2026)

Interlaced petals (1.25, 1.112, 0.75) is a periodic orbit of the planar three-body problem: three masses in the ratio 1.25 : 1.112 : 0.75 that return to their starting positions and velocities every 15.104 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 31.38), so a small nudge makes it unravel over a few periods. The bodies pass within 0.145 of each other at a top speed of 3, line up 14 times a period, and the computed loop closes to 1.6×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 15.10400180
Masses: 1.25 : 1.112 : 0.75
Energy: -1.32048
Angular momentum: 0
Closest approach: 0.1447
Top speed: 2.995
Path length: 37.546
Alignments per period: 14
Topology: aaBAbabAB (free-group class)
Stability: unstable (|λ|max 31.38)
Loop closure: 1.6×10⁻²⁶

Neighbours on the map

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