Atlas2,065 of 3,915

II.C.209

m₃ = 0.5

From Li & Liao (2017)

II.C.209 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 149.2 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 0.0000153 of each other at a top speed of 296, line up 250 times a period, and the computed loop closes to 8.0×10⁻¹⁶.

Measured over one period

Period: 149.1982025
Masses: 1 : 1 : 0.5
Energy: -1.15038
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 295.5
Path length: 351.98
Alignments per period: 250
Stability: stable (|λ|max 1.000)
Loop closure: 8.0×10⁻¹⁶

Neighbours on the map

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