Atlas2,036 of 3,915

II.C.165

m₃ = 0.5

From Li & Liao (2017)

II.C.165 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 139.78 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 93.49), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000304 of each other at a top speed of 66.2, line up 196 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 139.7843087
Masses: 1 : 1 : 0.5
Energy: -1.06473
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 66.22
Path length: 344.90
Alignments per period: 196
Stability: unstable (|λ|max 93.49)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

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