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Long-lobed flower

(1, 1.077, 1)

From Three Body Orbits (2026)

Long-lobed flower (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 4.794 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 64.11), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0891 of each other at a top speed of 4.21, line up 14 times a period, and the computed loop closes to 2.0×10⁻²⁶. The search, its checks and the catalogue comparison are in the research note.

Measured over one period

Period: 4.794038484
Masses: 1 : 1.077 : 1
Energy: -2.63454
Angular momentum: 0
Closest approach: 0.08907
Top speed: 4.205
Path length: 15.296
Alignments per period: 14
Stability: unstable (|λ|max 64.11)
Loop closure: 2.0×10⁻²⁶

Neighbours on the map

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