Atlas2,008 of 3,915

II.C.243

m₃ = 0.5

From Li & Liao (2017)

II.C.243 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 170.59 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 1.063), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000581 of each other at a top speed of 151, line up 300 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 170.5920826
Masses: 1 : 1 : 0.5
Energy: -1.18645
Angular momentum: 0
Closest approach: 5.8×10⁻⁵
Top speed: 151.4
Path length: 405.02
Alignments per period: 300
Stability: weakly unstable (|λ|max 1.063)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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