Atlas2,010 of 3,915

II.C.181

m₃ = 0.5

From Li & Liao (2017)

II.C.181 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 128.76 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 1.002), so a small nudge only makes it wobble. The bodies pass within 0.0000439 of each other at a top speed of 174, line up 224 times a period, and the computed loop closes to 5.9×10⁻²⁴.

Measured over one period

Period: 128.7590916
Masses: 1 : 1 : 0.5
Energy: -1.18402
Angular momentum: 0
Closest approach: 4.4×10⁻⁵
Top speed: 174.3
Path length: 307.24
Alignments per period: 224
Stability: stable (|λ|max 1.002)
Loop closure: 5.9×10⁻²⁴

Neighbours on the map

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