Atlas2,034 of 3,915

II.C.205

m₃ = 0.5

From Li & Liao (2017)

II.C.205 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 168.41 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 1.048), so a small nudge only makes it wobble. The bodies pass within 0.0000426 of each other at a top speed of 177, line up 234 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 168.4082594
Masses: 1 : 1 : 0.5
Energy: -1.04942
Angular momentum: 0
Closest approach: 4.3×10⁻⁵
Top speed: 177.0
Path length: 407.74
Alignments per period: 234
Stability: stable (|λ|max 1.048)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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