Atlas2,154 of 3,915

II.C.226

m₃ = 0.5

From Li & Liao (2017)

II.C.226 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 172.49 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.022), so a small nudge only makes it wobble. The bodies pass within 0.000473 of each other at a top speed of 53.1, line up 262 times a period, and the computed loop closes to 7.4×10⁻²⁵.

Measured over one period

Period: 172.4907007
Masses: 1 : 1 : 0.5
Energy: -1.09437
Angular momentum: 0
Closest approach: 4.7×10⁻⁴
Top speed: 53.06
Path length: 414.38
Alignments per period: 262
Stability: stable (|λ|max 1.022)
Loop closure: 7.4×10⁻²⁵

Neighbours on the map

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