Atlas2,096 of 3,915

II.C.178

m₃ = 0.5

From Li & Liao (2017)

II.C.178 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 149.71 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 1.141), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000416 of each other at a top speed of 56.6, line up 218 times a period, and the computed loop closes to 8.2×10⁻²⁵.

Measured over one period

Period: 149.7102513
Masses: 1 : 1 : 0.5
Energy: -1.06948
Angular momentum: 0
Closest approach: 4.2×10⁻⁴
Top speed: 56.60
Path length: 359.13
Alignments per period: 218
Stability: weakly unstable (|λ|max 1.141)
Loop closure: 8.2×10⁻²⁵

Neighbours on the map

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