Atlas2,175 of 3,915

II.C.191

m₃ = 0.5

From Li & Liao (2017)

II.C.191 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 148.35 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 0.000156 of each other at a top speed of 92.5, line up 230 times a period, and the computed loop closes to 2.1×10⁻²⁴.

Measured over one period

Period: 148.3494808
Masses: 1 : 1 : 0.5
Energy: -1.11497
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 92.49
Path length: 363.00
Alignments per period: 230
Stability: stable (|λ|max 1.000)
Loop closure: 2.1×10⁻²⁴

Neighbours on the map

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