Atlas2,118 of 3,915

II.C.101

m₃ = 0.5

From Li & Liao (2017)

II.C.101 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 81.077 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 1.523), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0000109 of each other at a top speed of 349, line up 140 times a period, and the computed loop closes to 4.5×10⁻¹⁶.

Measured over one period

Period: 81.07662761
Masses: 1 : 1 : 0.5
Energy: -1.18430
Angular momentum: 0
Closest approach: 1.1×10⁻⁵
Top speed: 349.2
Path length: 196.06
Alignments per period: 140
Stability: weakly unstable (|λ|max 1.523)
Loop closure: 4.5×10⁻¹⁶

Neighbours on the map

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