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Bestiary t0(2,11)

From Rose (2016)

Bestiary t0(2,11) is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 39.644 time units, published by Rose (2016). Orbits from Rose’s survey of the symmetry-reduced problem, which reaches parts of phase space the other searches do not. It is unstable (largest Floquet multiplier 24.86), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0241 of each other at a top speed of 6.53, line up 28 times a period, and the computed loop closes to 5.3×10⁻²⁶.

Measured over one period

Period: 39.64443082
Masses: 1 : 1 : 1
Energy: -1.00000
Angular momentum: 0
Closest approach: 0.02414
Top speed: 6.527
Path length: 73.809
Alignments per period: 28
Stability: unstable (|λ|max 24.86)
Loop closure: 5.3×10⁻²⁶

Neighbours on the map

All Rose’s Bestiary, the families of periodic three-body orbits, or the atlas map.