Atlas2,031 of 3,915

II.C.111

m₃ = 0.5

From Li & Liao (2017)

II.C.111 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 110.84 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 0.000166 of each other at a top speed of 89.6, line up 148 times a period, and the computed loop closes to 3.2×10⁻²⁴.

Measured over one period

Period: 110.8383172
Masses: 1 : 1 : 0.5
Energy: -1.01482
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 89.57
Path length: 261.11
Alignments per period: 148
Stability: stable (|λ|max 1.000)
Loop closure: 3.2×10⁻²⁴

Neighbours on the map

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