Atlas1,865 of 3,915

II.C.123

m₃ = 0.5

From Li & Liao (2017)

II.C.123 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 76.455 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 5.316), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000205 of each other at a top speed of 255, line up 160 times a period, and the computed loop closes to 2.8×10⁻²¹.

Measured over one period

Period: 76.45464654
Masses: 1 : 1 : 0.5
Energy: -1.35342
Angular momentum: 0
Closest approach: 2.0×10⁻⁵
Top speed: 255.2
Path length: 197.49
Alignments per period: 160
Stability: weakly unstable (|λ|max 5.316)
Loop closure: 2.8×10⁻²¹

Neighbours on the map

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