Atlas1,973 of 3,915

II.C.169

m₃ = 0.5

From Li & Liao (2017)

II.C.169 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 156.24 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 1.112), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000973 of each other at a top speed of 117, line up 200 times a period, and the computed loop closes to 2.2×10⁻²⁴.

Measured over one period

Period: 156.2447739
Masses: 1 : 1 : 0.5
Energy: -0.990367
Angular momentum: 0
Closest approach: 9.7×10⁻⁵
Top speed: 117.0
Path length: 365.75
Alignments per period: 200
Stability: weakly unstable (|λ|max 1.112)
Loop closure: 2.2×10⁻²⁴

Neighbours on the map

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