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Isola (ABab)³

(1, 0.604, 1)

From Three Body Orbits (2026)

Isola (ABab)³ (1, 0.604, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.604 : 1 that return to their starting positions and velocities every 10.899 time units, published by Three Body Orbits (2026). Golden pancake drama is the one linearly stable orbit of the September 2026 new-family search, with masses 1, 0.612 and 1; beside it are six samples of the closed mass loop it sits on, an isola whose middle mass runs from 0.469 to 0.635 and never reaches equal masses, with a stretch of the orbit’s own topology and a stretch shaped like a threefold figure-eight satellite. Numerically verified to 160 bits; not published elsewhere. It is unstable (largest Floquet multiplier 23.44), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0057 of each other at a top speed of 14.8, line up 18 times a period, and the computed loop closes to 5.0×10⁻²⁷. The orbit, its verification and the mapping of its isola are set out in the research note (PDF).

Measured over one period

Period: 10.89898793
Masses: 1 : 0.604 : 1
Energy: -1.32973
Angular momentum: 0
Closest approach: 0.005698
Top speed: 14.84
Path length: 28.886
Alignments per period: 18
Topology: (abAB)³ (free-group class)
Stability: unstable (|λ|max 23.44)
Loop closure: 5.0×10⁻²⁷

Neighbours on the map

All Golden pancake drama, the families of periodic three-body orbits, or the atlas map.