Atlas2,184 of 3,915

II.C.103

m₃ = 0.5

From Li & Liao (2017)

II.C.103 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 119.34 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 3.255), so a small nudge makes it unravel over a few periods. The bodies pass within 0.000381 of each other at a top speed of 59.2, line up 144 times a period, and the computed loop closes to 4.7×10⁻²⁵.

Measured over one period

Period: 119.3411239
Masses: 1 : 1 : 0.5
Energy: -0.941209
Angular momentum: 0
Closest approach: 3.8×10⁻⁴
Top speed: 59.18
Path length: 260.24
Alignments per period: 144
Stability: weakly unstable (|λ|max 3.255)
Loop closure: 4.7×10⁻²⁵

Neighbours on the map

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