Atlas2,127 of 3,942

II.C.238

m₃ = 0.5

From Li & Liao (2017)

II.C.238 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 190.64 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 0.00000357 of each other at a top speed of 611, line up 284 times a period, and the computed loop closes to 4.0×10⁻²⁰.

Measured over one period

Period: 190.6416032
Masses: 1 : 1 : 0.5
Energy: -1.06351
Angular momentum: 0
Closest approach: 3.6×10⁻⁶
Top speed: 610.8
Path length: 431.92
Alignments per period: 284
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 4.0×10⁻²⁰

Neighbours on the map

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