Atlas1,597 of 3,942

II.C.11

m₃ = 0.5

From Li & Liao (2017)

II.C.11 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 16.529 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 1707), so a small nudge makes it unravel over a few periods. The bodies pass within 0.006 of each other at a top speed of 14.8, line up 22 times a period, and the computed loop closes to 9.3×10⁻²⁷.

Measured over one period

Period: 16.52941639
Masses: 1 : 1 : 0.5
Energy: -1.14059
Angular momentum: 0
Closest approach: 0.006005
Top speed: 14.75
Path length: 44.508
Alignments per period: 22
Topology: aaaabAAAABaBB (free-group class)
Stability: unstable (|λ|max 1707)
Loop closure: 9.3×10⁻²⁷

Neighbours on the map

All II.C orbits, the families of periodic three-body orbits, or the atlas map.