Golden pancake drama (1, 0.612, 1), a periodic three-body orbit

Atlas3,901 of 3,942

(1, 0.612, 1)

From Three Body Orbits (2026)

Golden pancake drama (1, 0.612, 1) is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 0.612 : 1 that return to their starting positions and velocities every 8.8457 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 linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0127 of each other at a top speed of 9.74, line up 18 times a period, and the computed loop closes to 2.1×10⁻²⁷. The orbit, its verification and the mapping of its isola are set out in the research note (PDF).

Measured over one period

Period: 8.845713111
Masses: 1 : 0.612 : 1
Energy: -1.54325
Angular momentum: 0
Closest approach: 0.01267
Top speed: 9.742
Path length: 24.924
Alignments per period: 18
Topology: aabAbbAABaBB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²⁷

Neighbours on the map

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