Atlas2,032 of 3,915

II.C.203

m₃ = 0.5

From Li & Liao (2017)

II.C.203 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 182.51 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 1.135), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000186 of each other at a top speed of 268, line up 236 times a period, and the computed loop closes to 6.6×10⁻¹⁶.

Measured over one period

Period: 182.5097653
Masses: 1 : 1 : 0.5
Energy: -0.995320
Angular momentum: 0
Closest approach: 1.9×10⁻⁵
Top speed: 267.8
Path length: 427.10
Alignments per period: 236
Stability: weakly unstable (|λ|max 1.135)
Loop closure: 6.6×10⁻¹⁶

Neighbours on the map

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