Atlas2,077 of 3,915

II.C.229

m₃ = 0.5

From Li & Liao (2017)

II.C.229 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 166.18 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 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000051 of each other at a top speed of 511, line up 268 times a period, and the computed loop closes to 3.1×10⁻¹⁶.

Measured over one period

Period: 166.1828635
Masses: 1 : 1 : 0.5
Energy: -1.12279
Angular momentum: 0
Closest approach: 5.1×10⁻⁶
Top speed: 511.2
Path length: 389.27
Alignments per period: 268
Stability: stable (|λ|max 1.000)
Loop closure: 3.1×10⁻¹⁶

Neighbours on the map

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