Atlas2,088 of 3,915

II.C.177

m₃ = 0.5

From Li & Liao (2017)

II.C.177 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 124.61 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is unstable (largest Floquet multiplier 30.05), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000247 of each other at a top speed of 73.5, line up 216 times a period, and the computed loop closes to 1.8×10⁻²⁴.

Measured over one period

Period: 124.6080588
Masses: 1 : 1 : 0.5
Energy: -1.19803
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 73.54
Path length: 307.74
Alignments per period: 216
Stability: unstable (|λ|max 30.05)
Loop closure: 1.8×10⁻²⁴

Neighbours on the map

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