Atlas2,187 of 3,915

II.C.193

m₃ = 0.5

From Li & Liao (2017)

II.C.193 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 164.23 time units, published by Li & Liao (2017). The largest class in the atlas: hundreds of II.C orbits for seven mass ratios. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000199 of each other at a top speed of 259, line up 234 times a period, and the computed loop closes to 1.0×10⁻²².

Measured over one period

Period: 164.2296592
Masses: 1 : 1 : 0.5
Energy: -1.04283
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 258.7
Path length: 376.35
Alignments per period: 234
Stability: stable (|λ|max 1.000)
Loop closure: 1.0×10⁻²²

Neighbours on the map

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