Atlas2,067 of 3,942

II.C.172

m₃ = 0.5

From Li & Liao (2017)

II.C.172 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 148.32 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 0.00000886 of each other at a top speed of 388, line up 214 times a period, and the computed loop closes to 2.3×10⁻²¹.

Measured over one period

Period: 148.3161503
Masses: 1 : 1 : 0.5
Energy: -1.03792
Angular momentum: 0
Closest approach: 8.9×10⁻⁶
Top speed: 387.9
Path length: 326.21
Alignments per period: 214
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 2.3×10⁻²¹

Neighbours on the map

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