Atlas2,035 of 3,915

II.C.202

m₃ = 0.5

From Li & Liao (2017)

II.C.202 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 169.25 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is weakly unstable (largest Floquet multiplier 1.621), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000151 of each other at a top speed of 94, line up 232 times a period, and the computed loop closes to 2.7×10⁻²⁴.

Measured over one period

Period: 169.2512195
Masses: 1 : 1 : 0.5
Energy: -1.04513
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 94.01
Path length: 411.76
Alignments per period: 232
Stability: weakly unstable (|λ|max 1.621)
Loop closure: 2.7×10⁻²⁴

Neighbours on the map

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