Atlas2,222 of 3,915

II.C.167

m₃ = 0.5

From Li & Liao (2017)

II.C.167 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 193.91 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 119.6), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000368 of each other at a top speed of 60.2, line up 204 times a period, and the computed loop closes to 1.2×10⁻²⁴.

Measured over one period

Period: 193.9086747
Masses: 1 : 1 : 0.5
Energy: -0.859488
Angular momentum: 0
Closest approach: 3.7×10⁻⁴
Top speed: 60.18
Path length: 395.32
Alignments per period: 204
Stability: unstable (|λ|max 119.6)
Loop closure: 1.2×10⁻²⁴

Neighbours on the map

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