Atlas1,778 of 3,942

II.C.66

m₃ = 2

From Li & Liao (2017)

II.C.66 m₃ = 2 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 2 that return to their starting positions and velocities every 132.53 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.010), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000101 of each other at a top speed of 515, line up 334 times a period, and the computed loop closes to 3.9×10⁻²⁰.

Measured over one period

Period: 132.5304153
Masses: 1 : 1 : 2
Energy: -3.78570
Angular momentum: 0
Closest approach: 1.0×10⁻⁵
Top speed: 514.5
Path length: 412.59
Alignments per period: 334
Topology: 0 (free-group class)
Stability: weakly unstable (|λ|max 1.010)
Loop closure: 3.9×10⁻²⁰

Neighbours on the map

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